On the period factor of quasigroups

DOI

10.2991/ccis-13.2013.50How to use a DOI?

Keywords

pseudo random sequence; quasigroup; Latin square; period factor; Frobenius group

Abstract

Quasigroups are algebraic structures closely related to Latin squares which have many different applications. Nonlinear pseudo random sequences based on quasigroups have important applications in cryptography. The quasigroups which generate nonlinear pseudo random sequences with large periods are only found by computer statistical search until now. In this paper, we discuss the probability distribution of periods factors of quasigroups by means of Frobenius groups theory.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tan Yonghua
AU  - Xu Yunqing
PY  - 2013/11
DA  - 2013/11
TI  - On the period factor of quasigroups
BT  - Proceedings of the The 1st International Workshop on Cloud Computing and Information Security
PB  - Atlantis Press
SP  - 216
EP  - 219
SN  - 1951-6851
UR  - https://doi.org/10.2991/ccis-13.2013.50
DO  - 10.2991/ccis-13.2013.50
ID  - Yonghua2013/11
ER  -