Results
Title

On the ℤ<sub>q</sub>-Simplex codes and its weight distribution for dimension 2.

Authors

Durairajan, C.; Mahalakshmi, J.; Pandian, P. Chella

Abstract

In this paper, we have defined ℤq-linear code and constructed some new codes. In particular, we have introduced the concept of ℤq-Simplex codes and proved that it is a -linear code for any integer q ≥ 2 and k ≥ 3 where p is the least order element in ℤq. We have given the weight distribution of ℤq-Simplex codes of dimension 2 when q is a prime power and when q is a product of distinct primes.

Subjects

LINEAR codes; SIMPLEX algorithm; FINITE rings; HAMMING codes; INTEGERS

Publication

Discrete Mathematics, Algorithms & Applications, 2015, Vol 7, Issue 3, p-1

ISSN

1793-8309

Publication type

Academic Journal

DOI

10.1142/S1793830915500305