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

被引：4
|
作者：
Liu, Hai Ying [1 ]
Feng, Ke Qin [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 01期
关键词：
Perfect sequence; p-ary and almost p-ary sequence; difference set; cyclotomic field; imaginary quadratic field;
D O I：
10.1007/s10114-015-4344-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Complex periodical sequences with lower autocorrelation values are used in CDMA communication 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 cyclotomic fields and their subfields.
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收藏
页码：2 / 10
页数：9
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