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Infinite families of 2‐designs derived from affine‐invariant codes.

Authors :
Yan Liu
Xiwang Cao
Source :
Journal of Combinatorial Designs. Sep2021, Vol. 29 Issue 10, p683-702. 20p.
Publication Year :
2021

Abstract

In this paper, we first study a general type of affine‐ invariant codes and their support 2‐designs. Then we derive infinite families of 2‐designs from a special class of affine‐invariant codes and obtain their parameters by determining the weight distribution of the linear codes. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LINEAR codes
*CYCLIC codes

Details

Language :
English
ISSN :
10638539
Volume :
29
Issue :
10
Database :
Academic Search Index
Journal :
Journal of Combinatorial Designs
Publication Type :
Academic Journal
Accession number :
153074311
Full Text :
https://doi.org/10.1002/jcd.21796