Linear codes from ruled sets in finite projective spaces

被引：0

作者：

Hans-Joachim Kroll

Rita Vincenti

机构：

[1] Technische Universität München,Zentrum Mathematik

[2] Università degli Studi di Perugia,Dipartimento di Matematica e Informatica

来源：

Designs, Codes and Cryptography | 2020年 / 88卷

关键词：

Finite projective geometry; Projective systems; Linear codes; 51E22; 94B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct linear codes from projective systems of a finite projective space, arising by considering the points of the lines connecting point-sets chosen and fixed in two complementary subspaces. This construction allows to look for linear codes by choosing appropriate sets to get immediately length and minimum distance.

引用

页码：747 / 754

页数：7

共 6 条

[1]

Kroll H-J(2005)PD-sets for the codes related to some classical varieties Discret. Math. 301 89-105

[2]

Vincenti R(2008)PD-sets for binary RM-codes and the codes related to the Klein quadric and to the Schubert variety of PG(5, 2) Discret. Math. 308 408-414

[3]

Kroll H-J(2013)Note on a class of subsets of AG Geometry 2013 3-199

[4]

Vincenti R(1987) with intersection numbers J. Geom. 29 191-undefined

[5]

Napolitano V(undefined) and undefined undefined undefined-undefined

[6]

Tallini G(undefined) with respect to the planes undefined undefined undefined-undefined

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