Guglielmo Lunardon

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:149

Article

Lunardon, Guglielmo¹ 

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, Complesso Monte S Angelo,Edificio 5a,Via Cintia, I-80126 Naples, Italy

关键词: MRD-code;    Linearized polynomial;    Linear set;    F-g -linear representation;    Segre variety;   

DOI  :  10.1016/j.jcta.2017.01.002

来源: Elsevier

【 摘 要 】

In this paper we point out the relationship between linear MRD-codes and various geometric objects as linearized polynomials, linear sets of PG (n - 1, q(n)), and generalized Segre varieties. We introduce and characterize a class of particular linear MRD-codes called F-q(n) -linear codes with distance n - k + 1 proving that such codes are equivalent to (n - k +1)-embeddings of a canonical subgeometry. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free