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Nicola Durante
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Alessandro Siciliano
Keywords:
Maximum rank distance code, Bilinear form, Circulant matrix
Abstract
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.