A New Construction of Optimal Symmetrical ZCCS
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916369236230144 |
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| author | Kumar, Rajen Srivastava, Prashant Kumar Majhi, Sudhan |
| author_facet | Kumar, Rajen Srivastava, Prashant Kumar Majhi, Sudhan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16048 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Construction of Optimal Symmetrical ZCCS Kumar, Rajen Srivastava, Prashant Kumar Majhi, Sudhan Information Theory 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. |
| title | A New Construction of Optimal Symmetrical ZCCS |
| topic | Information Theory |
| url | https://arxiv.org/abs/2405.16048 |