Cryptographic primitives are fundamental building blocks for designing security protocols to
achieve confidentiality, authentication, integrity and non-repudiation. It is not too much to say …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Full article: Quasigroups and their applications in cryptography Skip to Main Content Taylor and
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We give three new algorithms to solve the “isomorphism of polynomial” problem, which was
underlying the hardness of recovering the secret-key in some multivariate trapdoor one-way …

We present MQQ-SIG, a signature scheme based on “Multivariate Quadratic Quasigroups”.
The MQQ-SIG signature scheme has a public key consisting of n2 quadratic polynomials in …

In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups
(MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by solving …

We investigate the security of the family of MQQ public key cryptosystems using multivariate
quadratic quasigroups (MQQ). These cryptosystems show especially good performance …

Today, the security of the modern world is undoubtedly dependent on the cryptographic
primitives built into the various protocols used for secure communication. Let us mention …

Quasigroups of huge order, like 2^ 256, 2^ 512, 2^ 1024, that can be effectively constructed,
have important applications in designing several cryptographic primitives. We propose an …

Abstract The Rainbow Signature Scheme is a non-trivial generalization of the well known
Unbalanced Oil and Vinegar (UOV) signature scheme (Eurocrypt'99) minimizing the length …