Shi, Minjia and Bian, Xinpeng and Özbudak, Ferruh and Solé, Patrick (2025) Bound on the minimum distance of double circulant cubic residue codes. Finite Fields and their Applications, 105 . ISSN 1071-5797 (Print) 1090-2465 (Online)
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Official URL: https://dx.doi.org/10.1016/j.ffa.2025.102605
Abstract
We study a class of pure double circulant binary codes attached to the cyclotomy of order 3 with respect to a prime p≡1(mod3). The minimum distance is bounded below by an argument involving cyclotomic numbers and Weil inequality for multiplicative character sums.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Cyclotomic numbers; Double circulant codes; Weil inequality |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ferruh Özbudak |
| Date Deposited: | 10 Jun 2025 11:20 |
| Last Modified: | 10 Jun 2025 11:20 |
| URI: | https://research.sabanciuniv.edu/id/eprint/51432 |
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