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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arXiv · 1704.02110

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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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.

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Nicola Durante, Alessandro Siciliano. 2017-04-07. Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries. https://arxiv.org/abs/1704.02110

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