Aliabadi, Zohreh and Güneri, Cem and Kalaycı, Tekgül (2025) On the hull and complementarity of 1-generator quasi-cyclic codes and four-circulant codes. Journal of Algebra and its Applications, 24 (13N14). ISSN 0219-4988 (Print) 1793-6829 (Online)
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Official URL: https://dx.doi.org/10.1142/S0219498825410166
Abstract
We study 1-generator quasi-cyclic codes and four-circulant codes, which are also quasi-cyclic but have 2 generators. We state the hull dimensions for both classes of codes in terms of the polynomials in their generating elements. We prove results such as the hull dimension of a four-circulant code is even and one-dimensional hull for double-circulant codes, which are special 1-generator codes, is not possible when the alphabet size q is congruent to 3 mod 4. We also characterize linear complementary pairs among both classes of codes. Computational results on the code families in consideration are provided as well.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | double-circulant code; four-circulant code; Hull of a code; linear complementary dual (LCD) code; linear complementary pair (LCP) of codes; quasi-cyclic code |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Cem Güneri |
| Date Deposited: | 20 Feb 2026 11:47 |
| Last Modified: | 20 Feb 2026 11:47 |
| URI: | https://research.sabanciuniv.edu/id/eprint/53294 |
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On the hull and complementarity of one generator quasi-cyclic codes and four-circulant codes. (deposited 10 Jun 2024 15:11)
- On the hull and complementarity of 1-generator quasi-cyclic codes and four-circulant codes. (deposited 20 Feb 2026 11:47) [Currently Displayed]
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