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A Digital Signature Based on Multivariate Polynomials over Fq
digital signature multivariate polynomial multivariate algebraic equation Grö bner bases attacks NP complete problems
2010/11/2
We propose the digital signature scheme based on multivariate polynomials over finite fields in this paper. We generate the multivariate a polynomial of high degree F(X) . We construct the digital sig...
Key Agreement Protocols Based on Multivariate Polynomials over Fq
key agreement protocol multivariate polynomials Grö bner bases NP complete problems finite field
2010/10/14
In this paper we propose new key agreement protocols based on multivariate polynomials over finite field Fq. We concretely generate the multivariate polynomial F(X)\in Fq[x1,..,xn] such that F(X)=\sum...
Information-set decoding for linear codes over Fq
Generalized McEliece cryptosystem security analysis Stern attack
2009/12/29
A code-based cryptosystem is considered secure if the best known attack against it
is information-set decoding. Stern’s algorithm and its improvements are well optimized and the
complexity is reason...
Point Compression on Jacobians of Hyperelliptic Curves over Fq.
Point Compression Jacobians Hyperelliptic Curves Fq.
2009/3/20
Hyperelliptic curve cryptography recently received a lot of attention,
especially for constrained environments. Since there space is critical, compression
techniques are interesting. In this note we...
Secure PRNGs from Specialized Polynomial Maps over Any Fq
sparse multivariate polynomial map hash function provable security
2008/5/23
We prove that a random map drawn from any class C of polynomial maps from (Fq)n to
(Fq)n+r that is (i) totally random in the a ne terms, and (ii) has a negligible chance of being not strongly one-way...