A direct construction of cross z-complementary sequence sets with large set size

Cryptography and Communications(2024)

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摘要
This paper presents a direct construction of novel type cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of the symmetrical Z-complementary code set (SZCCS). The available construction of SZCCS has a limitation on the set size, with a maximum set size of 8. The proposed generalized Boolean function-based construction can generate CZCSS/SZCCS of length in the form of a non-power-of-two with variable set size 2^n+1 , where each code has 2^n+1 constituent sequences. The proposed construction also yields cross Z-complementary pairs and cross Z-complementary sets with a larger number of constituent sequences compared to the existing work.
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关键词
Cross Z-complementary pair (CZCP),Cross Z-complementary set (CZCS),Cross Z-complementary sequence set (CZCSS),Generalized boolean functions (GBFs),Zero-correlation-zone (ZCZ)
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