The linear complexity of a class of binary sequences with optimal autocorrelation

摘要

Binary sequences with optimal autocorrelation and large linear complexity have important applications in cryptography and communications. Very recently, a class of binary sequences of period 4p with optimal autocorrelation was proposed by interleaving four suitable Ding-Helleseth-Lam sequences (Des. Codes Cryptogr., ), where p is an odd prime with . The objective of this paper is to determine the minimal polynomial and the linear complexity of this class of binary optimal sequences via a sequence polynomial approach. It turns out that this class of sequences has quite good linear complexity.