Geodesic
Division algebras and MRD codes from skew polynomials
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 480-500

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DOI

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.
DOI : 10.1017/S001708952300006X
Mots-clés : skew polynomial ring, skew polynomials, division algebras, MRD codes 
Thompson, D.; Pumplün, S. Division algebras and MRD codes from skew polynomials. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 480-500. doi: 10.1017/S001708952300006X
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     title = {Division algebras and {MRD} codes from skew polynomials},
     journal = {Glasgow mathematical journal},
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     year = {2023},
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     doi = {10.1017/S001708952300006X},
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