V. T. Markov, A. V. Mikhalev, A. V. Gribov, P. A. Zolotykh, S. S. Skazhenik, “Quasigroups and rings in coding theory and cryptography”, Prikl. Diskr. Mat., 2012, Number 4(18),Pages <nobr>31

This article is cited in 7 papers

Mathematical Methods of Cryptography

Quasigroups and rings in coding theory and cryptography

V. T. Markov, A. V. Mikhalev, A. V. Gribov, P. A. Zolotykh, S. S. Skazhenik

M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: Cryptoschemes and codes over associative and nonassociative algebraic structures are studied. A cryptoscheme over graded ring, a cryptoscheme over Moufang loop, a key agreement protocol, and linearly optimal codes are constructed.

Keywords: nonassociative algebraic structure, graded ring, quasigroup ring, Moufang loop, commutator quasigroup, cryptoschemes, linearly optimal code.

UDC: 512.548.7+512.554