Binary Sequence Pairs of Period pm-1 with Optimal Three-Level Correlation

Lianfei LUO; Wenping MA; Feifei ZHAO

doi:10.1587/transfun.E101.A.1263

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

Binary Sequence Pairs of Period p^m-1 with Optimal Three-Level Correlation

Lianfei LUO, Wenping MA, Feifei ZHAO

Author information

Keywords: binary sequence pair, polynomial, cross-correlation, optimal three-level correlation

JOURNAL RESTRICTED ACCESS

2018 Volume E101.A Issue 8 Pages 1263-1266

DOI https://doi.org/10.1587/transfun.E101.A.1263

Details

Abstract

Let F_pm be the field of p^m elements where p is an odd prime. In this letter, binary sequence pairs of period N=p^m-1 are presented, where sequences are generated from the polynomial x²-c for any c ∈ F_p^m\{0}. The cross-correlation values of sequence pairs are completely determined, our results show that those binary sequence pairs have optimal three-level correlation.

Content from these authors

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!