首页 | 本学科首页   官方微博 | 高级检索  
     


Jacobsthal sums and permutations of biquadratic residues
Affiliation:1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, People''s Republic of China;2. Department of Mathematics, Nanjing University, Nanjing 210093, People''s Republic of China;1. School of Mathematics, Hefei University of Technology, Hefei, 230601, Anhui, People''s Republic of China;2. Intelligent Interconnected systems Laboratory of Anhui province, Hefei, 230009, Anhui, People''s Republic of China;1. Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People''s Republic of Korea;2. PGItech Corp., Pyongyang, Democratic People''s Republic of Korea;3. LAGA, Department of Mathematics, University of Paris VIII, 93526 Saint-Denis, France;4. University of Paris XIII, CNRS, LAGA UMR 7539, Sorbonne Paris Cite, 93430 Villetaneuse, France;5. Telecom ParisTech, 75013 Paris, France;1. Department of Mathematics, Foshan University, Foshan, Guangdong 528000, China;2. Institute of Mathematics, Lingnan Normal University, Zhanjiang, Guangdong 524048, China;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
Abstract:Let p1(mod4) be a prime. In this paper, with the help of Jacobsthal sums over finite fields, we study some permutation problems involving biquadratic residues modulo p.
Keywords:Reciprocity laws  Permutations  Primitive roots  Cyclotomic fields
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

Copyright©北京勤云科技发展有限公司  京ICP备09084417号