A New Construction of Optimal Symmetrical ZCCS

Abstract

We propose new constructions for a two-dimensional ($2$D) perfect array, complete complementary code (CCC), and multiple CCCs as an optimal symmetrical $Z$-complementary code set (ZCCS). We propose a method to generate a two-dimensional perfect array and CCC. By utilising mutually orthogonal sequences, we developed a method to extend the length of a CCC without affecting the set or code size. Additionally, this concept is extended to include the development of multiple CCCs, and the correlation characteristics of these multiple CCCs are identical with the characteristics of optimal symmetrical ZCCS.

This paper has been accepted in 'IEEE International Symposium on Information Theory (ISIT 2024)'

Cited by in corpus (1)

• Multiple Spectrally Null Constrained Complete Complementary Codes of Various Lengths Over Small Alphabet