Division algebras and MRD codes from skew polynomials
Thompson, Daniel; Pumpluen, Susanne
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.
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|
|Publisher||Cambridge University Press|
|Peer Reviewed||Peer Reviewed|
This file is under embargo due to copyright reasons.
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