Integer-valued Alexis sequences with large zero correlation zone | Zendy

Weiwen Hu | Zendy

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Integer-valued Alexis sequences with large zero correlation zone

Author(s) -

Weiwen Hu

Publication year - 2017

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2017037

Subject(s) - mathematics , integer (computer science) , zero (linguistics) , combinatorics , binary number , class (philosophy) , integer sequence , discrete mathematics , arithmetic , generating function , computer science , programming language , philosophy , linguistics , artificial intelligence

In this paper, a new class of integer-valued Alexis sequences with length N = 2 (mod 4) is proposed and constructed by using integer-valued almost-perfect sequences obtained from three integer-valued elementary sequences. Compared with binary Alexis sequences, the proposed integer-valued Alexis sequences have a larger zero correlation zone (ZCZ). In addition, the maximal energy efficiency of the proposed sequences is investigated.

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