Csajbók, Bence and Siciliano, Alessandro (2018) Puncturing maximum rank distance codes. Journal of Algebraic Combinatorics. ISSN 0925-9899, ESSN: 1572-9192 (In Press)
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Official URL: https://doi.org/10.1007/s10801-018-0833-3
Abstract
We investigate punctured maximum rank distance codes in cyclic models for bilinear forms of finite vector spaces. In each of these models, we consider an infinite family of linear maximum rank distance codes obtained by puncturing generalized twisted Gabidulin codes. We calculate the automorphism group of such codes, and we prove that this family contains many codes which are not equivalent to any generalized Gabidulin code. This solves a problem posed recently by Sheekey (Adv Math Commun 10:475–488, 2016).
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Bence Csajbók |
| Date Deposited: | 13 Sep 2018 06:25 |
| Last Modified: | 15 Aug 2019 23:15 |
| URI: | http://real.mtak.hu/id/eprint/83795 |
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