The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations  

作　　者：Feng Mei LIU Qin YUE 

机构地区：[1]National Key Laboratory on Information Assurance Technology, Sub-box 21, Box 7227, Beijing 100072, P. R. China [2]Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第6期1173-1186,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant Nos. 10771100, 10971250）

摘　　要：Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given.Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given.

关 键 词：Generalized bent function integral basis Diophantine equation 

分 类 号：TN918.1[电子电信—通信与信息系统] O156.7[电子电信—信息与通信工程]