Applied Mathematics & Information Sciences
Abstract
Z2Z4-additive codes, as a special class of abelian codes, have found a very welcoming place in the recent studies of algebraic coding theory. This family in one hand is similar to binary codes on the other hand is similar to quaternary codes. The structure of Z2Z4- additive codes and their duals has been determined lately. In this study we investigate the algebraic structure of Z2Z2s -additive codes which are a natural generalization of Z2Z4-additive codes. We present the standard form of the generator and parity-check matrices of the Z2Z2s -additive codes. Also, we give two bounds on the minimum distance of Z2Z2s -additive codes and compare them.
Suggested Reviewers
N/A
Recommended Citation
Aydogdu, Ismail and Siap, Irfan
(2013)
"The Structure of Z2Z2s-Additive Codes: Bounds on the Minimum Distance,"
Applied Mathematics & Information Sciences: Vol. 07:
Iss.
6, Article 17.
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/17