Bouyuklieva, Stefka and Bouyukliev, Iliya and Özbudak, Ferruh (2026) Sequence of numbers of linear codes with increasing hull dimensions. Designs, Codes, and Cryptography, 94 (2). ISSN 0925-1022 (Print) 1573-7586 (Online)
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Official URL: https://dx.doi.org/10.1007/s10623-025-01776-9
Abstract
The hull of a linear code C is the intersection of C with its dual code. We present and analyze the sequence of numbers of linear codes with increasing hull dimension but the same length n and dimension k. We also present classification results for binary and ternary linear codes with trivial hulls (LCD and self-orthogonal) for some values of the length n and dimension k, comparing the obtained numbers with the number of all linear codes for the same n and k.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hull; LCD code; Linear code; Self-orthogonal code |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ferruh Özbudak |
| Date Deposited: | 06 Apr 2026 14:24 |
| Last Modified: | 06 Apr 2026 14:24 |
| URI: | https://research.sabanciuniv.edu/id/eprint/53709 |
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