New results on nonexistence of perfect p-ary sequences and almost p-ary sequences

Authors
Liu, Hai Ying Feng, Ke Qin
Citation
Liu, Hai Ying et Feng, Ke Qin, New results on nonexistence of perfect p-ary sequences and almost p-ary sequences, Acta mathematica Sinica. English series (Print) , 32(1), 2016, pp. 2-10
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
1
Year of publication
2016
Pages
2 - 10
Database
ACNP
SICI code
Abstract
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.