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 …

For the last three decades, public-key cryptography has completely changed the landscape
of our modern communication systems and become an indispensable part of the foundation …

We show that the new TTM implementation schemes have a defect. There exist linearization
equations ∑ i= 1, j= 1^ n, m a_ ij x_i y_j (x_1, ..., x_n)+ ∑ i= 1^ n b_i x_i+ ∑ j= 1^ m c_j y_j …

We combine the method of searching for an invariant subspace of the unbalanced Oil and
Vinegar signature scheme and the Minrank method to defeat the new TTS signature …

In 2004, the inventors of TTM cryptosystems proposed a new scheme that could resist the
existing attacks, in particular, the Goubin-Courtois attack GC00 and the Ding-Schmidt attack …

Full article: Digital signature schemes using non-square matrices or scrap automorphisms Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

Triangular transformation method (TTM) is one of the multivariate public key cryptosystems
(MPKC) based on the intractability of tame decomposition problem. In TTM, a special class …

This paper proves that the Nagata automorphism over a finite field can be mimicked by a
tame automorphism which is a composition of four elementary automorphisms. By …

The MFE cryptosystem proposed by Wang et al. uses medium-size field extensions, which
makes faster. However, it is insecure due to SOLEs attack by Ding et al.. In this paper, we …

In 2006, the inventors of TRMC public key cryptosystem proposed a new variant of TRMC,
TRMC-4, which can resist the existing attack, in particular, the Joux et al attack. In this paper …