… (SFP) on algebraic surfaces. The … cryptosystem is expected to have resistance against
quantum computers. In what follows, we call our cryptosystem an algebraic surface cryptosystem (…

… In this paper, we fully break the Algebraic Surface Cryptosystem (ASC for short) proposed
at PKC’2009 [3]. This system is based on an unusual problem in multivariate cryptography: the …

… Algebraic Surface Cryptosystem in terms of algebraic curves instead of algebraic surfaces. …
Thus, we see that the Algebraic Surface Cryptosystem is based on an NP-complete problem…

… -key Cryptosystem using Algebraic Surfaces was developed … finding sections on fibered
algebraic surfaces. This problem can … In 2007, in the case that the defining equation of a surface …

… type of public-key cryptosystem whose security is based on a section finding problem of
surfaces. This problem, which is one of the principal issues in algebraic geometry, has no known …

… zero point of the algebraic surface and a new attack utilizing it… of the invulnerable algebraic
surface public-key cryptosystem … of their Algebraic surface public-key cryptosystem (improved …

… the equivalent form of sections of fibrations on surfaces). It is easy to … break their original
cryptosystem by using algebraic points instead … of the algebraic surface public-key cryptosystem, …

… This opens an algebraic attack surface, which yields new attack … of algebraic PRGs, we
will provably decrease the security of PRGs that are reasonable candidates for cryptosystems in …

… a new public key cryptosystem based on … “Algebraic Surface Cryptosystem” (ASC) proposed
by Akiyama, Goto and Miyake. There are two main differences between our cryptosystem …

… The Diophantine equations define an algebraic curve or an algebraic surface and ask about
… cryptosystem and propose a method for recovering a key in the key exchange cryptosystem …