A Direct Construction of Cross Z-Complementary Sets with Flexible Lengths and Large Zero Correlation Zone

2022/07/24 by Praveen Kumar, Kumar, Praveen, Sudhan Majhi +3
Engineering · #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2207.11730

openalex publication_date 2022/07/24 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

This letter proposes a direct construction for cross Z-complementary sets (CZCSs) with flexible lengths and a large zero correlation zone (ZCZ). CZCS is an extension of the cross Z-complementary pair (CZCP). The maximum possible ZCZ width of a CZCP is half of its sequence length. In this letter, for the first time, a generalized Boolean function based construction of CZCSs with a large number of constituent sequences and a ZCZ ratio of 2/3 is presented. For integers m and δ, the proposed construction produces CZCS with length expressed as 2^m-1+2^δ (0 ≤ δ

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