Abstract
AbstractLet
$D$
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.
Publisher
Cambridge University Press (CUP)
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