A Study on Minimality of the Codewords in the Dual Code of the Code of a Symmetric (v, k,Λ ) -Design

Authors

Selda CALKAVUR, Department of Mathematics, Kocaeli University, Kocaeli, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

The Fq - code of a symmetric (v, k,l )- design is a subspace generated by the incidence matrix of the symmetric design. In this paper, we examine the minimality of the codewords in the dual code C⊥ of the binary code C of a symmetric (v, k,l )− design. So, we use the relationship between the minimum and maximum nonzero weights in the dual code C⊥ with the number of Fq.

Recommended Citation

CALKAVUR, Selda (2015) "A Study on Minimality of the Codewords in the Dual Code of the Code of a Symmetric (v, k,Λ ) -Design," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 16.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/16