New Results on Nonexistence of Perfect p-Ary Sequences and Almost p-Ary Sequences  

作　　者：Hai Ying LIU Ke Qin FENG 

机构地区：[1]School of Mathematical Sciences, Peking University [2]Department of Mathematical Sciences, Tsinghua University

出　　处：《Acta Mathematica Sinica,English Series》2016年第1期2-10,共9页数学学报（英文版）

基　　金：supported by the Tsinghua National Lab.for Information Science and Technology

摘　　要：Complex periodical sequences with lower antocorrelation values are used in CDMA comnmnieation systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary sequences and related difference sets by using some knowledge on cyelotomic fields and their subfields.Complex periodical sequences with lower antocorrelation values are used in CDMA comnmnieation systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary sequences and related difference sets by using some knowledge on cyelotomic fields and their subfields.

关 键 词：Perfect sequence p-ary and almost p-ary sequence difference set cyclotomic field imag-inary quadratic field 

分 类 号：TN918.1[电子电信—通信与信息系统] TN929.533[电子电信—信息与通信工程]