Geodesic
Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries
Nicola Durante1 ; Alessandro Siciliano2
1Università degli Studi di Napoli "Federico II"
2Università degli Studi della Basilicata
The electronic journal of combinatorics, Tome 24 (2017) no. 2
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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.
DOI : 10.37236/6106
Classification : 94B05, 15A63
Mots-clés : maximum rank distance code, bilinear form, circulant matrix

Nicola Durante  1   ; Alessandro Siciliano  2

1 Università degli Studi di Napoli "Federico II"
2 Università degli Studi della Basilicata 
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     title = {Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries},
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Nicola Durante; Alessandro Siciliano. Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries. The electronic journal of combinatorics, Tome 24 (2017) no. 2. doi: 10.37236/6106

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