Skew polynomials over fields are used to construct generalized division algebras and linear MRD codes, with criteria for maximality and comparisons of isotopic versions.
Sheekey, A new family of linear maximum rank distance codes
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A skew polynomial framework for constructing division algebras and linear maximum rank distance codes
Skew polynomials over fields are used to construct generalized division algebras and linear MRD codes, with criteria for maximality and comparisons of isotopic versions.