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 …

As the basic cryptographic structure for multivariate quadratic quasigroup (MQQ) scheme,
MQQ has been one of the latest tools in designing MQ cryptosystem. There have been …

We propose a new multivariate probabilistic encryption scheme with decryption errors MQQ-
ENC that belongs to the family of MQQ-based public key schemes. Similarly to MQQ-SIG, the …

A public-key cryptosystem is the undoubted spine of present-day communication systems.
Many mathematical theories like number theory, group theory, and ring theory were utilized …

Proper families of functions provide a convenient and memoryefficient method for
specification of large parametric families of quasigroups and d-quasigroups of large order …

It is shown that polynomially complete quasigroups with no subquasigroups are quasitermal.
The case of transitive action of the automorphism group on these quasigroups is considered …

Порождение квадратичных квазигрупп с помощью правильных семейств бу Page 1
Порождение квадратичных квазигрупп с помощью правильных семейств булевых …

MQQ scheme is a novel type multivariate public key cryptosystem. As the basic step for MQQ
scheme, the generation of MQQs is an important and hard task. In order to resist Gröbner …

Finite quasi-groups without sub-quasi-groups are considered. It is shown that polynomially
complete quasi-groups with this property are quasi-primal. The case in which the …

В работе рассматриваются конечные квазигруппы без подквазигрупп. Показано, что
полиномиально полные квазигруппы с этим свойством квазитермальны. Исследуется …