Publication Type : Journal Article
Publisher : World Scientific Pub Co Pte Lt
Source : Discrete Mathematics, Algorithms and Applications
Url : https://doi.org/10.1142/s1793830915500305
Campus : Coimbatore
School : School of Physical Sciences
Year : 2015
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 [Formula: see text]-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.
Cite this Research Publication : C. Durairajan, J. Mahalakshmi, P. Chella Pandian, On the ℤq-Simplex codes and its weight distribution for dimension 2, Discrete Mathematics, Algorithms and Applications, World Scientific Pub Co Pte Lt, 2015, https://doi.org/10.1142/s1793830915500305