What a lovely hat

Masking schemes are key in thwarting side-channel attacks due to their robust theoretical foundation. Transitioning from Boolean to arithmetic (B2A) masking is a necessary step in various cryptography schemes, including hash functions, ARX-based ciphers, and lattice-based cryptography. While there exists a significant body of research focusing on B2A software implementations, studies pertaining to hardware implementations are quite limited, with the majority dedicated solely to creating...

Side-channel-analysis (SCA) resistance with cost optimization in AES hardware implementations remains a significant challenge. While traditional masking-based schemes offer provable security, they often incur substantial resource overheads (latency, area, randomness, performance, power consumption). Alternatively, the RAMBAM scheme introduced a redundancy-based approach to control the signal-to-noise ratio, and achieves exponential leakage reduction as redundancy increases. This method...

Provable privacy typically requires involved analysis and is often associated with unacceptable accuracy loss. While many empirical verification or approximation methods, such as Membership Inference Attacks (MIA) and Differential Privacy Auditing (DPA), have been proposed, these do not offer rigorous privacy guarantees. In this paper, we apply recently-proposed Probably Approximately Correct (PAC) Privacy to give formal, mechanized, simulation-based proofs for a range of practical,...

Here is a potential way to create a SLH-DSA-like\cite{DraftFIPS205} key generation/signer that aspires to be resistant to DPA side channel attacks. We say that it is “SLH-DSA-like”, because it does not follow the FIPS 205 method of generating signatures (in particular, it does not have the same mapping from private key, messages, opt\_rand to signatures), however it does generate public keys and signatures that are compatible with the standard signature verification method, and with the...

Masking, an effective countermeasure against side-channel attacks, is commonly applied in modern cryptographic implementations. Considering cryptographic algorithms that utilize both Boolean and arithmetic masking, the conversion algorithm between arithmetic masking and Boolean masking is required. Conventional high-order arithmetic masking to Boolean masking conversion algorithms based on Boolean circuits suffer from performance overhead, especially in terms of hardware implementation. In...

This paper presents a provably secure, higher-order, and leakage-resilient (LR) rekeying scheme named LR Rekeying with Random oracle Repetition (LR4), along with a quantitative security evaluation methodology. Many existing LR primitives are based on a concept of leveled implementation, which still essentially require a leak-free sanctuary (i.e., differential power analysis (DPA)-resistant component(s)) for some parts. In addition, although several LR pseudorandom functions (PRFs) based on...

We introduce a novel template attack for secret key recovery in Kyber, leveraging side-channel information from polynomial multiplication during decapsulation. Conceptually, our attack exploits that Kyber's incomplete number-theoretic transform (NTT) causes each secret coefficient to be used multiple times, unlike when performing a complete NTT. Our attack is a single trace \emph{known} ciphertext attack that avoids machine-learning techniques and instead relies on correlation-matching...

Masking has become one of the most effective approaches for securing hardware designs against side-channel attacks. Regardless of the effort put into correctly implementing masking schemes on a field-programmable gate array (FPGA), leakage can be unexpectedly observed. This is due to the fact that the assumption underlying all masked designs, i.e., the leakages of different shares are independent of each other, may no longer hold in practice. In this regard, extreme temperatures have been...

A Feistel Network (FN) based block cipher relies on a Substitution Box (S-Box) for achieving the non-linearity. S-Box is carefully designed to achieve optimal cryptographic security bounds. The research of the last three decades shows that considerable efforts are being made on the mathematical design of an S-Box. To import the exact cryptographic profile of an S-Box, the designer focuses on the Affine Equivalent (AE) or Extended Affine (EA) equivalent S-Box. In this research, we argue that...

This paper analyses the lightweight, sponge-based NAEAD mode $\textsf{ISAP}$, one of the finalists of the NIST Lightweight Cryptography (LWC) standardisation project, that achieves high-throughput with inherent protection against differential power analysis (DPA). We observe that $\textsf{ISAP}$ requires $256$-bit capacity in the authentication module to satisfy the NIST LWC security criteria. In this paper, we study the analysis carefully and observe that this is primarily due to the...

Security against side-channel assisted attacks remains a focus and concern in the ongoing standardization process of quantum-computer-resistant cryptography algorithms. Hiding and masking techniques are currently under investigation to protect the Post-Quantum Cryptography (PQC) algorithms in the NIST PQC standardization process against sophisticated side-channel attacks. Between hiding and masking, masking is emerging as a popular option due to its simplicity and minimized cost of...

Success Rate (SR) is one of the most popular security metrics measuring the efficiency of side-channel attacks. Theoretical expression reveals the functional dependency on critical parameters such as number of measurements and Signal-to-Noise Ratio (SNR), helping evaluators understand the threat of an attack as well as how one can mitigate it with proper countermeasures. However so far, existing works have exposed fundamental problems such as: (i) the evaluations are restricted to a very...

Threshold implementation is a method based on secret sharing to secure cryptographic ciphers (and in particular S-boxes) against differential power analysis side-channel attacks which was proposed by Nikova, Rechberger, and Rijmen in 2006. Until now, threshold implementations were only constructed for specific types of functions and some small S-boxes, but no generic construction was ever presented. In this paper, we present the first universal threshold implementation with $t+2$ shares that...

FIPS 140-3 is the main standard defining security requirements for cryptographic modules in U.S. and Canada; commercially viable hardware modules generally need to be compliant with it. The scope of FIPS 140-3 will also expand to the new NIST Post-Quantum Cryptography (PQC) standards when migration from older RSA and Elliptic Curve cryptography begins. FIPS 140-3 mandates the testing of the effectiveness of ``non-invasive attack mitigations'', or side-channel attack countermeasures. At...

Power analysis attacks on ECC have been presented since almost the very beginning of DPA itself, even before the standardization of AES. Given that power analysis attacks against AES are well known and have a large body of practical artifacts to demonstrate attacks on both software and hardware implementations, it is surprising that these artifacts are generally lacking for ECC. In this work we begin to remedy this by providing a complete open-source ECDSA attack artifact, based on a...

Threshold Implementations have become a popular generic technique to construct circuits resilient against power analysis attacks. In this paper, we look to devise efficient threshold circuits for the lightweight block cipher family SKINNY. The only threshold circuits for this family are those proposed by its designers who decomposed the 8-bit S-box into four quadratic S-boxes, and constructed a 3-share byte-serial threshold circuit that executes the substitution layer over four cycles. In...

Public knowledge about the structure of a cryptographic system is a standard assumption in the literature and algorithms are expected to guarantee security in a setting where only the encryption key is kept secret. Nevertheless, undisclosed proprietary cryptographic algorithms still find widespread use in applications both in the civil and military domains. Even though side-channel-based reverse engineering attacks that recover the hidden components of custom cryptosystems have been...

It is a well-known fact that the power consumption during certain stages of a cryptographic algorithm exhibits a strong correlation with the Hamming Weight of its underlying variables. This phenomenon has been widely exploited in the cryptographic literature in various attacks targeting a broad range of schemes such as block ciphers or public-key cryptosystems. A common way of breaking this correlation is through the inclusion of countermeasures involving additional randomness into the...

Various Artificial Intelligence (AI) techniques are combined with classic side-channel methods to improve the efficiency of attacks. Among them, Genetic Algorithms based Correlation Power Analysis (GA-CPA) is proposed to launch attacks on hardware cryptosystems to extract the secret key efficiently. However, the convergence rate is unsatisfactory due to two problems: individuals of the initial population generally have low fitnesses, and the mutation operation is hard to generate...

The progress on constructing quantum computers and the ongoing standardization of post-quantum cryptography (PQC) have led to the development and refinement of promising new digital signature schemes and key encapsulation mechanisms (KEM). Especially lattice-based schemes have gained some popularity in the research community, presumably due to acceptable key, ciphertext, and signature sizes as well as good performance results and cryptographic strength. However, in some practical...

In the last few years a new design paradigm, the so-called ARX (modular addition, rotation, exclusive-or) ciphers, have gained popularity in part because of their non-linear operation's seemingly `inherent resilience' against Differential Power Analysis (DPA) Attacks: the non-linear modular addition is not only known to be a poor target for DPA attacks, but also the computational complexity of DPA-style attacks grows exponentially with the operand size and thus DPA-style attacks quickly...

Differential power analysis (DPA) is a form of side-channel analysis (SCA) that performs statistical analysis on the power traces of cryptographic computations. DPA is applicable to many cryptographic primitives, including block ciphers, stream ciphers and even hash-based message authentication code (HMAC). At COSADE 2017, Dobraunig~et~al. presented a DPA on the fresh re-keying scheme Keymill to extract the bit relations of neighbouring bits in its shift registers, reducing the internal...

Ascon-p is the core building block of Ascon, the winner in the lightweight category of the CAESAR competition. With ISAP, another Ascon-p-based AEAD scheme is currently competing in the 2nd round of the NIST lightweight cryptography standardization project. In contrast to Ascon, ISAP focuses on providing hardening/protection against a large class of implementation attacks, such as DPA, DFA, SFA, and SIFA, entirely on mode-level. Consequently, Ascon-p can be used to realize a wide range of...

Side-channel attacks exploit information that is leaked from hardware. The differential power analysis (DPA) attack aims at extracting sensitive information that is processed by the operations in a cryptographic primitive. Power traces are collected and subsequently processed using statistical methods. The ChipWhisperer Nano is a low-cost, open-source device that can be used to implement and study side-channel attacks. This paper describes how the DPA attack with the difference of means...

Fault Injection (FI) attacks have become a practical threat to modern cryptographic implementations. Such attacks have recently focused more on exploitation of implementation-centric and device-specific properties of the faults. In this paper, we consider the parallel between SCA attacks and FI attacks; specifically, that many FI attacks rely on the data-dependency of activation and propagation of a fault, and SCA attacks similarly rely on data-dependent power usage. In fact, these are so...

Masking by lookup table randomisation is a well-known technique used to achieve side-channel attack resistance for software implementations, particularly, against DPA attacks. The randomised table technique for first- and second-order security requires about m * 2^n bits of RAM to store an (n, m)-bit masked S-box lookup table. Table compression helps in reducing the amount of memory required, and this is useful for highly resource-constrained IoT devices. Recently, Vadnala (CT-RSA 2017)...

In both hardware and software, masking can represent an effective means of hardening an implementation against side channel attack vectors such as Differential Power Analysis (DPA). Focusing on software, however, the use of masking can present various challenges: specifically, it often 1) requires significant effort to translate any theoretical security properties into practice, and, even then, 2) imposes a significant overhead in terms of efficiency. To address both challenges, this paper...

Cryptographic primitives have been designed to be secure against mathematical attacks in a black-box model. Such primitives can be implemented in a way that they are also secure against physical attacks, in a grey-box model. One of the most popular techniques for this purpose is masking. The increased security always comes with a high price tag in terms of implementation cost. In this work, we look at how the traditional design principles of symmetric primitives can be at odds with the...

Since its selection as the winner of the SHA-3 competition, Keccak, with all its variants, has found a large number of applications. It is, for instance, a common building block in schemes submitted to NIST's post-quantum cryptography project. In many of these applications, Keccak processes ephemeral secrets. In such a setting, side-channel adversaries are limited to a single observation, meaning that differential attacks are inherently prevented. If, however, such a single trace of Keccak...

Differential power analysis (DPA) is a statistical analysis of the power traces of cryptographic computations. DPA has many applications including key-recovery on linear feedback shift register based stream ciphers. In 2017, Dobraunig et. al. presented a DPA on Keymill to uncover the bit relations of neighbouring bits in the shift registers, effectively reduces the internal state guessing space to 4-bit. In this work, we generalise the analysis methodology to uncover more bit relations on...

This work introduces the first differential side-channel analysis of the Picnic Signature Scheme, an alternate candidate in the ongoing competition for post-quantum cryptography by the National Institute of Standards and Technology (NIST). We present a successful side-channel analysis of the underlying multiparty implementation of the LowMC block cipher (MPC-LowMC) and show how side-channel information can be used to recover the entire secret key by exploiting two different parts of the...

During the past two decades there has been a great deal of research published on masked hardware implementations of AES and other cryptographic primitives. Unfortunately, many hardware masking techniques can lead to increased latency compared to unprotected circuits for algorithms such as AES, due to the high-degree of nonlinear functions in their designs. In this paper, we present a hardware masking technique which does not increase the latency for such algorithms. It is based on the...

Masking is a popular countermeasure to protect cryptographic implementations against side-channel attacks (SCA). In the literature, a myriad of proposals of masking schemes can be found. They are typically defined by a masked multiplication, since this can serve as a basic building block for any nonlinear algorithm. However, when masking generic Boolean functions of algebraic degree t, it is very inefficient to construct the implementation from masked multiplications only. Further, it is not...

Public key cryptography protocols, such as RSA and elliptic curve cryptography, will be rendered insecure by Shor’s algorithm when large-scale quantum computers are built. Cryptographers are working on quantum-resistant algorithms, and lattice-based cryptography has emerged as a prime candidate. However, high computational complexity of these algorithms makes it challenging to implement lattice-based protocols on low-power embedded devices. To address this challenge, we present Sapphire – a...

Neural Networks have become a much studied approach in the recent literature on profiled side channel attacks: many articles examine their use and performance in profiled single-target DPA style attacks. In this setting a single neural net is tweaked and tuned based on a training data set. The effort for this is considerable, as there a many hyper-parameters that need to be adjusted. A straightforward, but impractical, extension of such an approach to multi-target DPA style attacks requires...

Threshold Implementations (TI) are secure algorithmic countermeasures against side-channel attacks in the form of differential power analysis. The strength of TI lies in its minimal algorithmic requirements. These requirements have been studied over more than 10 years and many efficient implementations for symmetric primitives have been proposed. Thus, over the years the practice of protecting implementations matured, however, the theory behind threshold implementations remained the same. In...

Side channel attacks have demonstrated in the past that it is possible to break cryptographic algorithms by attacking the implementation rather than the algorithm. This paper compares an adaptation of Paul Kocher's Differential Power Analysis (DPA) for AES with a multi-bit variant by attacking an AES128 implementation for an ATmega328P microcontroller board. The results show that the use of multi-bit DPA can significantly reduce ghost peaks and allow for the recovery of a key with far fewer traces.

Embedded microprocessors are an important component of reconfigurable architectures. Fine-grain (e.g., cycle-accurate) power analysis of such processors has been used to improve power and energy efficiency, and detect implementation vulnerabilities, in embedded applications. However, such analysis is difficult to conduct; it requires either specialized and often expensive equipment, or construction of test architectures using disparate acquisition and analysis tools. In this research, we...

Side-channel power analysis is a powerful method of breaking secure cryptographic algorithms, but typically power analysis is considered to require specialized measurement equipment on or near the device. Assuming an attacker first gained the ability to run code on the unsecure side of a device, they could trigger encryptions and use the on-board ADC to capture power traces of that hardware encryption engine. This is demonstrated on a SAML11 which contains a M23 core with a TrustZone-M...

We revisit the definition of Transparency Order (TO) and that of Modified Transparency Order (MTO) as well, which were proposed to measure the resistance of an S-box against Differential Power Analysis (DPA). We spot a definitional flaw in original TO, which is proved to have significantly affected the soundness of TO and hinder it to be a good quantitative security criterion. Regretfully, the flaw itself remains virtually undiscovered in MTO, either. Surprisingly, MTO overlooks this flaw...

Differential Power Analysis and Differential Fault Analysis threaten the security of even the most trustworthy cryptographic primitives. It is important we protect their implementation such that no sensitive information is leaked using side channels and it withstands injected faults or combined physical attacks. In this work, we propose security notions tailored against advanced physical attacks consisting of both faults and probes on circuit wires. We then transform the security notions to...

At ASIACRYPT 2018 it was shown that Statistical Ineffective Fault Attacks (SIFA) pose a threat for many practical implementations of symmetric primitives. In particular, countermeasures against both power analysis and fault attacks typically do not prevent straightforward SIFA attacks that require only very limited knowledge about the concrete attacked implementation. Consequently, the exploration of countermeasures against SIFA that do not rely on protocols or physical protection mechanisms...

The effort in reducing the area of AES implementations has largely been focused on Application-Specific Integrated Circuits (ASICs) in which a tower field construction leads to a small design of the AES S-box. In contrast, a naive implementation of the AES S-box has been the status-quo on Field-Programmable Gate Arrays (FPGAs). A similar discrepancy holds for masking schemes - a well-known side-channel analysis countermeasure - which are commonly optimized to achieve minimal area in ASICs....

Side-channel attacks, especially differential power analysis (DPA), pose a serious threat to cryptographic implementations deployed in a malicious environment. One way to counter side-channel attacks is to design cryptographic schemes to withstand them, an area that is covered amongst others by leakage resilient cryptography. So far, however, leakage resilient cryptography has predominantly focused on block cipher based designs, and insights in permutation based leakage resilient...

Authenticated ciphers potentially provide resource savings and security improvements over the joint use of secret-key ciphers and message authentication codes. The CAESAR competition has aimed to choose the most suitable authenticated ciphers for several categories of applications, including a lightweight use case, for which the primary criteria are performance in resource-constrained devices, and ease of protection against side channel attacks (SCA). In March 2018, two of the candidates...

Side-channel attacks and evaluations typically utilize leakage models to extract sensitive information from measurements of cryptographic implementations. Efforts to establish a true leakage model is still an active area of research since Kocher proposed Differential Power Analysis (DPA) in 1999. Leakage certification plays an important role in this aspect to address the following question: "how good is my leakage model?". However, existing leakage certification methods still need to...

The quantum secure supersingular isogeny Diffie-Hellman (SIDH) key exchange is a promising candidate in NIST's on-going post-quantum standardization process. The evaluation of various implementation characteristics is part of this standardization process, and includes the assessment of the applicability on constrained devices. When compared to other post-quantum algorithms, SIDH appears to be well-suited for the implementation on those constrained devices due to its small key sizes. On the...

At CHES 2016, Bos et al. introduced $\textit{differential computational analysis}$ (DCA) as an attack on white-box software implementations of block ciphers. This attack builds on the same principles as DPA in the classical side-channel context, but uses computational traces consisting of plain values computed by the implementation during execution. This attack was shown to be able to recover the key of many existing AES white-box implementations. The DCA adversary is $\textit{passive}$,...

Hardware masked AES designs usually rely on Boolean masking and perform the computation of the S-box using the tower-field decomposition. On the other hand, splitting sensitive variables in a multiplicative way is more amenable for the computation of the AES S-box, as noted by Akkar and Giraud. However, multiplicative masking needs to be implemented carefully not to be vulnerable to first-order DPA with a zero-value power model. Up to now, sound higher-order multiplicative masking schemes...

The success rate is the most common evaluation metric for measuring the performance of a particular side channel attack scenario. We improve on an analytic formula for the success rate.

Low Entropy Masking Scheme (LEMS) has attracted wide attention for its low-cost feature of small fixed mask sets in Side-Channel-Analysis (SCA). To achieve the expected side channel security, it is necessary to find a balanced mask set to reduce the correlations between key dependent variables and their corresponding leakages. However, the security proof of LEMS, based on an inadequate assumption, might lead to consequent mask sets proposed without balance property, which could cause...

The ongoing CAESAR competition aims at finding authenticated encryption schemes that offer advantages over AES-GCM for several use-cases, including lightweight applications. ACORN and Ascon are the two finalists for this profile. Our paper compares these two candidates according to their resilience against differential power analysis and their ability to integrate countermeasures against such attacks. Especially, we focus on software implementations and provide benchmarks for several...

Quantum computing threatens conventional public-key cryptography. In response, standards bodies such as NIST increasingly focus on post-quantum cryptography. In particular, hash-based signature schemes are notable candidates for deployment. No rigorous side-channel analysis of hash-based signature schemes has been conducted so far. This work bridges this gap. We analyse the stateful hash-based signature schemes XMSS and XMSS^MT, which are currently undergoing standardisation at IETF, as well...

In this paper, we revisit the security conditions of masked hardware implementations. We describe a new, succinct, information-theoretic condition called d-glitch immunity which is both necessary and sufficient for security in the presence of glitches. We show that this single condition includes, but is not limited to, previous security notions such as those used in higher-order threshold implementations and in abstractions using ideal gates. As opposed to these previously known necessary...

Authenticated ciphers, like all physical implementations of cryptography, are vulnerable to side-channel attacks, including differential power analysis (DPA). The t-test leakage detection methodology has been used to verify improved resistance of block ciphers to DPA after application of countermeasures. However, extension of the t-test methodology to authenticated ciphers is non-trivial, since authenticated ciphers require additional input and output conditions, complex interfaces, and...

Since the advent of Differential Power Analysis (DPA) in the late 1990s protecting embedded devices against Side-Channel Analysis (SCA) attacks has been a major research effort. Even though many different first-order secure masking schemes are available today, when applied to the AES S-box they all require fresh random bits in every evaluation. As the quality criteria for generating random numbers on an embedded device are not well understood, an integrated Random Number Generator (RNG) can...

The distinguishing feature of the Internet of Things is that many devices get interconnected. The threat of side-channel attacks in this setting is less understood than the threat of traditional network and software exploitation attacks that are perceived to be more powerful. This work is a case study of Thread, an emerging network and transport level stack designed to facilitate secure communication between heterogeneous IoT devices. We perform the first side-channel vulnerability analysis...

Randomized moduli in Residue Number System (RNS) generate effectively large noise and make quite difficult to attack a secret key $K$ from only few observations of Hamming distances $H=(H_0, ..., H_{d-1})$ that result from the changes on the state variable. Since Hamming distances have gaussian distribution and most of the statistic tests, like NIST's ones, evaluate discrete and uniform distribution, we choose to use side-channel attacks as a tool in order to evaluate randomisation of...

DPA attacks usually exhibit a "divide-and-conquer" property: the adversary needs to enumerate only a small space of the key (a key sub-space) when performing the DPA attack. This is achieved trivially in the outer rounds of a cryptographic implementation since intermediates depend on only few key bits. In the inner rounds, however, intermediates depend on too many key bits to make DPA practical or even to pose an advantage over cryptanalysis. For this reason, DPA countermeasures may be...

Masking is a common technique to protect software implementations of symmetric cryptographic algorithms against Differential Power Analysis (DPA) attacks. The development of a properly masked version of a block cipher is an incremental and time-consuming process since each iteration of the development cycle involves a costly leakage assessment. To achieve a high level of DPA resistance, the architecture-specific leakage properties of the target processor need to be taken into account....

Side-channel attacks are a threat to cryptographic algorithms running on embedded devices. Public-key cryptosystems, including elliptic curve cryptography (ECC), are particularly vulnerable because their private keys are usually long-term. Well known countermeasures like regularity, projective coordinates and scalar randomization, among others, are used to harden implementations against common side-channel attacks like DPA. Horizontal clustering attacks can theoretically overcome these...

In this paper we introduce two things: On one hand we introduce the Tile-Probe-and-Fault model, a model generalising the wire-probe model of Ishai et al. extending it to cover both more realistic side-channel leakage scenarios on a chip and also to cover fault and combined attacks. Secondly we introduce CAPA: a combined Countermeasure Against Physical Attacks. Our countermeasure is motivated by our model, and aims to provide security against higher-order SCA, multiple-shot FA and combined...

Rotating Sbox Masking (RSM) scheme is a highly efficient masking scheme proposed to protect cryptographic implementations from side channel attacks. It is a Low Entropy Masking Scheme and has attracted special attention for its low overhead but high performance. The two public targets of international academic competition DPA Contest v4 are both RSM-masked AES implementations, specifically, RSM-AES-256 for v4.1 and RSM-AES-128 for v4.2 respectively. The side channel security of RSM-AES-256...

We present the first practically realizable side-channel assisted fault attack on PRESENT, that can retrieve the last round key efficiently using single nibble faults. The attack demonstrates how side-channel leakage can allow the adversary to precisely determine the fault mask resulting from a nibble fault injection instance. We first demonstrate the viability of such an attack model via side-channel analysis experiments on top of a laser-based fault injection setup, targeting a PRESENT-80...

Threshold Implementation (TI) is one of the most widely used countermeasure for side channel attacks. Over the years several TI techniques have been proposed for randomizing cipher execution using different variations of secret-sharing and implementation techniques. For instance, Direct Sharing (4-shares) is the most straightforward implementation of the threshold countermeasure. However, its usage is limited due to its high area requirements. On the other hand, sharing using decomposition...

Threshold implementation is a masking technique that provides provable security for implementations of cryptographic algorithms against power analysis attacks. In recent publications, several different threshold implementations of AES have been designed. However in most of the threshold implementations of AES, the Canright S-Box has been used. The Boyar-Peralta S-Box is an alternative implementation of the AES S-Box with a minimal circuit depth and is comparable in size to the frequently...

Ed25519 is an instance of the Elliptic Curve based signature scheme EdDSA that was recently introduced to solve an inconvenience of the more established ECDSA. Namely, both schemes require the generation of a random value (scalar of the ephemeral key pair) during the signature generation process and the secrecy of this random value is critical for security: knowledge of one such a random value, or partial knowledge of a series of them, allows reconstructing the signer's private key. In ECDSA...

Side-channel distinguishers play an important role in differential power analysis, where real world leakage information is compared against hypothetical predictions in order to guess at the underlying secret key. A class of distinguishers which can be described as `cluster-based' have the advantage that they are able to exploit multi-dimensional leakage samples in scenarios where only loose, `semi-profiled' approximations of the true leakage forms are available. This is by contrast with...

Memory encryption is used in many devices to protect memory content from attackers with physical access to a device. However, many current memory encryption schemes can be broken using Differential Power Analysis (DPA). In this work, we present MEAS---the first Memory Encryption and Authentication Scheme providing security against DPA attacks. The scheme combines ideas from fresh re-keying and authentication trees by storing encryption keys in a tree structure to thwart first-order DPA...

Protecting cryptographic implementations against side-channel attacks is a must to prevent leakage of processed secrets. As a cell-level countermeasure, so called DPA-resistant logic styles have been proposed to prevent a data-dependent power consumption. As most of the DPA-resistant logic is based on dual-rails, properly implementing them is a challenging task on FPGAs which is due to their fixed architecture and missing freedom in the design tools. While previous works show a significant...

QcBits is a code-based public key algorithm based on a problem thought to be resistant to quantum computer attacks. It is a constant time implementation for a quasi-cyclic moderate density parity check (QC-MDPC) Niederreiter encryption scheme, and has excellent performance and small key sizes. In this paper, we present a key recovery attack against QcBits. We first used differential power analysis (DPA) against the syndrome computation of the decoding algorithm to recover partial information...

Although lattice-based cryptography has proven to be a particularly efficient approach to post-quantum cryptography, its security against side-channel attacks is still a very open topic. There already exist some first works that use masking to achieve DPA security. However, for public-key primitives SPA attacks that use just a single trace are also highly relevant. For lattice-based cryptography this implementation-security aspect is still unexplored. In this work, we present the first...

In this paper, we investigate the security of the BLISS lattice-based signature scheme, one of the most promising candidates for post-quantum-secure signatures, against side-channel attacks. Several works have been devoted to its efficient implementation on various platforms, from desktop CPUs to micro-controllers and FPGAs, and more recent papers have also considered its security against certain types of physical attacks, notably fault injection and cache attacks. We turn to more...

In this paper, we investigate the security of the BLISS lattice-based signature scheme, one of the most promising candidates for post-quantum-secure signatures, against side-channel attacks. Several works have been devoted to its efficient implementation on various platforms, from desktop CPUs to micro-controllers and FPGAs, and more recent papers have also considered its security against certain types of physical attacks, notably fault injection and cache attacks. We turn to more...

This work deals with the energy-efficient, high-speed and high-security implementation of elliptic curve scalar multiplication, elliptic curve Diffie-Hellman (ECDH) key exchange and elliptic curve digital signatures on embedded devices using FourQ and incorporating strong countermeasures to thwart a wide variety of side-channel attacks. First, we set new speed records for constant-time curve-based scalar multiplication, DH key exchange and digital signatures at the 128-bit security level...

The efficient protection of security critical devices against side-channel analysis attacks is a fundamental need in the age of Internet of Things and ubiquitous computing. In this work, we introduce a configurable hardware design of Keccak (SHA-3) which can be tailored to fulfill the needs of a wide range of different applications. Our Keccak design is therefore equipped with generic side-channel protection capabilities. The design can thus be synthesized for any desired protection level by...

Key enumeration solutions are post-processing schemes for the output sequences of side channel distinguishers, the application of which are prevented by very large key candidate space and computation power requirements. The attacker may spend several days or months to enumerate a huge key space (e.g. $2^{40}$). In this paper, we aim at pre-processing and reducing the key candidate space by deleting impossible key candidates before enumeration. A new distinguisher named Group Collision Attack...

Whitebox cryptography aims to ensure the security of cryptographic algorithms in the whitebox model where the adversary has full access to the execution environment. To attain security in this setting is a challenging problem: Indeed, all published whitebox implementations of standard symmetric-key algorithms such as AES to date have been practically broken. However, as far as we know, no whitebox implementation in real-world products has suffered from a key recovery attack. This is due to...

SCA(Side-channel analysis) is a well-known method to recover the sensitive data stored in security products. Meanwhile numerous countermeasures for hardware implementation of cryptographic algorithms are proposed to protect the internal data against this attack fortunately. However, some designs are not aware that the protection of the plaintext and ciphertext is also crucial. In this work, we attack an implementation TDES(triple DES) by taking advantage of such leakages detected in a widely...

Differential power analysis (DPA) is a powerful tool to extract the key of a cryptographic implementation from observing its power consumption during the en-/decryption of many different inputs. Therefore, cryptographic schemes based on frequent re-keying such as leakage-resilient encryption aim to inherently prevent DPA on the secret key by limiting the amount of data being processed under one key. However, the original asset of encryption, namely the plaintext, is disregarded. This paper...

Since they were first proposed as a countermeasure against differential power analysis (DPA) in 2006, threshold schemes have attracted a lot of attention from the community concentrating on cryptographic implementations. What makes threshold schemes so attractive from an academic point of view is that they come with an information-theoretic proof of resistance against a specific subset of side-channel attacks: first-order DPA. From an industrial point of view they are attractive as a careful...

Side-channel attacks and in particular differential power analysis (DPA) attacks pose a serious threat to cryptographic implementations. One approach to counteract such attacks are cryptographic schemes based on fresh re-keying. In settings of pre-shared secret keys, such schemes render DPA attacks infeasible by deriving session keys and by ensuring that the attacker cannot collect side-channel leakage on the session key during cryptographic operations with different inputs. While these...

The security requirement of white-box cryptography (WBC) is that it should protect the secret key from a white-box security model that permits an adversary who is able to entirely control the execution of the cryptographic algorithm and its environment. It has already been demonstrated that most of the WBCs are vulnerable to algebraic attacks from a white-box security perspective. Recently, a new differential computation analysis (DCA) attack has been proposed that thwarts the white-box...

One prominent countermeasure against side-channel attacks, especially differential power analysis (DPA), is fresh re-keying. In such schemes, the so-called re-keying function takes the burden of protecting a cryptographic primitive against DPA. To ensure the security of the scheme against side-channel analysis, the used re-keying function has to withstand both simple power analysis (SPA) and differential power analysis (DPA). Recently, at SAC 2016, Keymill---a side-channel resilient key...

Second-order side-channel attacks are used to break first-order masking protections. A practical reason which often limits the efficiency of second-order attacks is the temporal localisation of the leaking samples. Several leakage samples must be combined which means high computational power. For second-order attacks, the computational complexity is quadratic. At CHES '04, Waddle and Wagner introduced attacks with complexity $\mathcal{O}(n \log_2 n)$ on hardware traces, where $n$ is the...

Over the past few years, the microprocessor industry has introduced accelerated cryptographic capabilities through instruction set extensions. Although powerful and resistant to side-channel analysis such as cache and timing attacks, these instructions do not implicitly protect against power-based side-channel attacks, such as DPA. This paper provides a specific example with Intel's AES-NI cryptographic instruction set extensions, detailing a DPA, along with results, showing two ways to...

Masking requires splitting sensitive variables into at least d + 1 shares to provide security against DPA attacks at order d. To this date, this minimal number has only been deployed in software implementations of cryptographic algorithms and in the linear parts of their hardware counterparts. So far there is no hardware construction that achieves this lower bound if the function is nonlinear and the underlying logic gates can glitch. In this paper, we give practical implementations of the...

Lightweight ciphers become indispensable and inevitable in the ubiquitous smart devices. However, the security of ciphers is often subverted by various types of attacks, especially, implementation attacks such as side-channel attacks. These attacks emphasise the necessity of providing efficient countermeasures. In this paper, our contribution is threefold: First, we observe and resolve the inaccuracy in the well-known and widely used formula for estimation of the number of gate equivalents...

Passive physical attacks, like power analysis, pose a serious threat to the security of embedded systems and corresponding countermeasures need to be implemented. In this work, we demonstrate how the costs for protecting digital circuits against passive physical attacks can be lowered significantly. We introduce a novel masking approach called domain-oriented masking (DOM). Our approach provides the same level of security as threshold implementations (TI), while it requires less chip area...

Memory and disk encryption is a common measure to protect sensitive information in memory from adversaries with physical access. However, physical access also comes with the risk of physical attacks. As these may pose a threat to memory confidentiality, this paper investigates contemporary memory and disk encryption schemes and their implementations with respect to Differential Power Analysis (DPA) and Differential Fault Analysis (DFA). It shows that DPA and DFA recover the keys of all the...

To design effective countermeasures for cryptosystems against side-channel power analysis attacks, the evaluation of the system leakage has to be lightweight and often times at the early stage like on cryptographic algorithm or source code. When real implementations and power leakage measurements are not available, security evaluation has to be through metrics for the information leakage of algorithms. In this work, we propose such a general and unified metric, information leakage amount -...

At CT-RSA 2014, Whitnall, Oswald and Standaert gave the impossibility result that no generic DPA strategies (i.e., without any \emph{a priori} knowledge about the leakage characteristics) can recover secret information from a physical device by considering an injective target function (e.g., AES and PRESENT S-boxes), and as a remedy, they proposed a slightly relaxed strategy ``generic-emulating DPAs'' free from the non-injectivity constraint. However, as we show in this paper, the only...

Masking is a popular countermeasure to thwart side-channel attacks on embedded systems. Many proposed masking schemes, even carrying ``security proofs'', are eventually broken because they are flawed by design. The security validation process is nowadays a lengthy, tedious and manual process. In this paper, we report on a method to verify the soundness of a masking scheme before implementing it on a device. We show that by instrumenting a high-level implementation of the masking scheme...

Side channel analysis and active fault analysis are now major threats to even mathematically robust cryptographic algorithms that are otherwise resistant to classical cryptanalysis. It is necessary to design suitable countermeasures to protect cryptographic primitives against such attacks. This paper focuses on designing encryption schemes that are innately secure against fault analysis. The paper formally proves that one such design strategy, namely the use of key-dependent SBoxes, is...

Instantiations of the McEliece cryptosystem which are considered computationally secure even in a post-quantum era still require hardening against side channel attacks for practical applications. Recently, the first differential power analysis attack on a McEliece cryptosystem successfully recovered the full secret key of a state-of-the-art FPGA implementation of QC-MDPC McEliece. In this work we show how to apply masking countermeasures to the scheme and present the first masked FPGA...

Side-channel attacks are powerful techniques to attack implementations of cryptographic algorithms by observing its physical parameters such as power consumption and electromagnetic radiation that are modulated by the secret state. Most side-channel attacks are of divide-and-conquer nature, that is, they yield a ranked list of secret key chunks, e.g., the subkey bytes in AES. The problem of the key recovery is then to find the correct combined key. An optimal key enumeration algorithm...

Recently, several research groups in cryptography have presented new elliptic curve model based on Edwards curves. These new curves were selected for their good performance and security perspectives. Cryptosystems based on elliptic curves in embedded devices can be vulnerable to Side-Channel Attacks (SCA), such as the Simple Power Analysis (SPA) or the Differential Power Analysis (DPA). In this paper, we analyze the existence of special points whose use in SCA is known as Same Value...

We present DPA attacks on an ARM Cortex-A8 processor running at 1 GHz. This high-end processor is typically found in portable devices such as phones and tablets. In our case, the processor sits in a single board computer and runs a full-fledged Linux operating system. The targeted AES implementation is bitsliced and runs in constant time and constant flow. We show that, despite the complex hardware and software, high clock frequencies and practical measurement issues, the implementation can...

Lattice-based cryptography has been proposed as a postquantum public-key cryptosystem. In this paper, we present a masked ring-LWE decryption implementation resistant to first-order side-channel attacks. Our solution has the peculiarity that the entire computation is performed in the masked domain. This is achieved thanks to a new, bespoke masked decoder implementation. The output of the ring-LWE decryption are Boolean shares suitable for derivation of a symmetric key. We have implemented a...

In this paper we investigate relations between several masking schemes. We show that the Ishai--Sahai--Wagner private circuits construction is closely related to Threshold Implementations and the Trichina gate. The implications of this observation are manifold. We point out a higher-order weakness in higher-order Threshold Implementations, suggest a mitigation and provide new sharings that use a lower number of input shares.