Daniel Thompson
Division algebras and MRD codes from skew polynomials
Thompson, Daniel; Pumpluen, Susanne
Abstract
Let $D$ be a division algebra, finite-dimensional over its center, and $R=D[t;\sigma,\delta]$ a skew polynomial ring.
Using skew polynomials $f\in R$, we construct division algebras and maximum rank distance codes consisting of matrices with entries in a noncommutative division algebra or field. These include Jha Johnson semifields, and the classes of classical and twisted Gabidulin codes constructed by Sheekey.
Citation
Thompson, D., & Pumpluen, S. (in press). Division algebras and MRD codes from skew polynomials. Glasgow Mathematical Journal,
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 28, 2023 |
Deposit Date | Feb 28, 2023 |
Journal | Glasgow Mathematical Journal |
Print ISSN | 0017-0895 |
Electronic ISSN | 1469-509X |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Public URL | https://nottingham-repository.worktribe.com/output/17938098 |
This file is under embargo due to copyright reasons.
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