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Dates are inconsistent

Dates are inconsistent

4 results sorted by ID

2024/778 (PDF) Last updated: 2024-12-03
Ideal-to-isogeny algorithm using 2-dimensional isogenies and its application to SQIsign
Hiroshi Onuki, Kohei Nakagawa
Public-key cryptography

The Deuring correspondence is a correspondence between supersingular elliptic curves and quaternion orders. Under this correspondence, an isogeny between elliptic curves corresponds to a quaternion ideal. This correspondence plays an important role in isogeny-based cryptography and several algorithms to compute an isogeny corresponding to a quaternion ideal (ideal-to-isogeny algorithms) have been proposed. In particular, SQIsign is a signature scheme based on the Deuring correspondence and...

2024/521 (PDF) Last updated: 2024-04-02
LIT-SiGamal: An efficient isogeny-based PKE based on a LIT diagram
Tomoki Moriya
Public-key cryptography

In this paper, we propose a novel isogeny-based public key encryption (PKE) scheme named LIT-SiGamal. This is based on a LIT diagram and SiGamal. SiGamal is an isogeny-based PKE scheme that uses a commutative diagram with an auxiliary point. LIT-SiGamal uses a LIT diagram which is a commutative diagram consisting of large-degree horizontal isogenies and relatively small-degree vertical isogenies, while the original SiGamal uses a CSIDH diagram. A strength of LIT-SiGamal is efficient...

2023/1506 (PDF) Last updated: 2024-02-26
IS-CUBE: An isogeny-based compact KEM using a boxed SIDH diagram
Tomoki Moriya
Public-key cryptography

Isogeny-based cryptography is one of the candidates for post-quantum cryptography. One of the benefits of using isogeny-based cryptography is its compactness. In particular, a key exchange scheme SIDH allowed us to use a $4\lambda$-bit prime for the security parameter $\lambda$. Unfortunately, SIDH was broken in 2022 by some studies. After that, some isogeny-based key exchange and public key encryption schemes have been proposed; however, most of these schemes use primes whose sizes are...

2023/1092 (PDF) Last updated: 2024-02-01
The wrong use of FESTA trapdoor functions leads to an adaptive attack
Tomoki Moriya, Hiroshi Onuki
Attacks and cryptanalysis

Isogeny-based cryptography is one of the candidates for post-quantum cryptography. In 2023, Kani's theorem breaks an isogeny-based scheme SIDH, which was considered a promising post-quantum scheme. Though Kani's theorem damaged isogeny-based cryptography, some researchers have been trying to dig into the applications of this theorem. A FESTA trapdoor function is an isogeny-based trapdoor function that is one trial to apply Kani's theorem to cryptography. This paper claims that there is an...

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