Multivariate Public Key Cryptosystem (MPKC) seem to be promising toward future digital
security even in the presence of quantum adversaries. MPKCs derive their security from the …

As the number and characteristics of smart devices change, the concept of the Internet of
Things (IoT) emerges. The IoT provides the connected devices with a variety of resources …

The multivariate public-key cryptography (MPKC) provides a promising class of post-
quantum signature schemes. Its theoretical security comes from the intractability of the …

Jordan-Gauss graphs are bipartite graphs given by special quadratic equations over the
commutative ring K with unity with partition sets K^ n and K^ m, n≥ m such that the …

The paper presents a short survey of the History of Multivariate Cryptography together with
the usage of old broken multivariate digital signatures in the new protocol based …

We suggest two families of multivariate public keys defined over arbitrary finite commutative
ring\(K\) with unity. The first one has quadratic multivariate public rule, this family is an …

Let n stands for the length of digital signatures with quadratic multivariate public rule in n
variables. We construct postquantum secure procedure to sign O (n^ t), t≥ 1 digital …

Abstract Matsumoto-Imai Cryptosystem was one of the first public keys developed in terms of
Multivariate Cryptography. The famous effective cryptanalysis of this system and various …

Due to the development of powerful quantum computers, traditional public-key methods are
vulnerable because they depend on number theory. Post-quantum cryptography candidates …

The RSA cryptosystem has been a cornerstone of modern public key infrastructure;
however, recent advancements in quantum computing and theoretical mathematics pose …