Non-Linear Maximum Rank Distance Codes in the Cyclic Model for the Field Reduction of Finite Geometries

Nicola Durante, Alessandro Siciliano

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In this paper we construct infinite families of non-linear maximum rank distance codes by using the setting of bilinear forms of a finite vector space. We also give a geometric description of such codes by using the cyclic model for the field reduction of finite geometries and we show that these families contain the non-linear maximum rank distance codes recently provided by Cossidente, Marino and Pavese.

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Maximum rank distance code; Bilinear form; Circulant matrix

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