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

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作者：
Hai Ying LIU [1 ]
Ke Qin FENG [2 ]
机构：
[1] School of Mathematical Sciences, Peking University
[2] Department of Mathematical Sciences, Tsinghua
来源：
Acta Mathematica Sinica | 2016年 / 32卷 / 01期
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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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