On the period factor of quasigroups
Authors
Tan Yonghua, Xu Yunqing
Corresponding Author
Tan Yonghua
Available Online November 2013.
- 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/).
Cite this article
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 -