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Some new non-additive maximum rank distance codes
Date
2018-03-01
Author
Otal, KAMİL
Özbudak, Ferruh
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this paper, a construction of maximum rank distance (MRD) codes as a generalization of generalized Gabidulin codes is given. The family of the resulting codes is not covered properly by additive generalized twisted Gabidulin codes, and does not cover all twisted Gabidulin codes. When the basis field has more than two elements, this family includes also non-affine MRD codes, and such codes exist for all parameters. Therefore, these codes are the first non-additive MRD codes for most of the parameters.
Subject Keywords
Theoretical Computer Science
,
General Engineering
,
Algebra and Number Theory
,
Applied Mathematics
URI
https://hdl.handle.net/11511/38020
Journal
FINITE FIELDS AND THEIR APPLICATIONS
DOI
https://doi.org/10.1016/j.ffa.2017.12.003
Collections
Department of Mathematics, Article