Permutation trinomials over Fq3期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Permutation trinomials over Fq3

Affiliation:	1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China;2. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;3. Department of Informatics, University of Bergen, Bergen N-5020, Norway;4. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China;5. Department of Electrical Engineering and Computer Science, University of Stavanger, 4036, Stavanger, Norway;1. College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China;2. State Key Laboratory of Cryptology, Beijing, 100878, China;3. College of Information Science and Technology, College of Cyber Security, Jinan University, Guangzhou, Guangdong, 510632, China;1. Gongqing College, Nanchang University, Jiujiang 332020, China;2. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;3. School of Information Engineering, Nanchang University, Nanchang 330031, China;1. School of Mathematical Sciences, Henan Key Laboratory of Big Data Processing and Analysis, Luoyang Normal University, Luoyang 471934, China;2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China;3. State Key Laboratory of Cryptology, P. O. Box 5159, Beijing 100878, China;4. School of Cyber Security, University of Chinese Academy of Sciences, Beijing 100049, China;5. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Italy;2. Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Italy

Abstract:	We consider four classes of polynomials over the fields $F_{q^{3}}$ , $q = p^{h}$ , $p > 3$ , $f_{1} (x) = x^{q^{2} + q - 1} + A x^{q^{2} - q + 1} + B x$ , $f_{2} (x) = x^{q^{2} + q - 1} + A x^{q^{3} - q^{2} + q} + B x$ , $f_{3} (x) = x^{q^{2} + q - 1} + A x^{q^{2}} - B x$ , $f_{4} (x) = x^{q^{2} + q - 1} + A x^{q} - B x$ , where $A, B \in F_{q}$ . We find sufficient conditions on the pairs $(A, B)$ for which these polynomials permute $F_{q^{3}}$ and we give lower bounds on the number of such pairs.

Keywords:	Permutation polynomials Finite fields Permutation trinomials
本文献已被 ScienceDirect 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏