Journal article
Self-dual cyclic codes over ℤ4 uℤ4
R Luo, U Parampalli
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences | IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG | Published : 2017
Abstract
In this paper we study the structure of self-dual cyclic codes over the ring Λ = ℤ4 + uℤ4. The ring Λ is a local Frobenius ring but not a chain ring. We characterize self-dual cyclic codes of odd length n over Λ. The results can be used to construct some optimal binary, quaternary cyclic and self-dual codes.
Grants
Awarded by National Natural Science Foundation of China
Funding Acknowledgements
The work of U. Parampalli is supported in part by Australia China Group Missions project, Department of Innovation, Industry, Science and Research (DIISR) Australia, under Grant ACSRF02361, and the Innovative Disciplines Intelligence Base 111 Project No.111-2-14, of MoE, China. And the work of Rong is supported by the National Natural Science Foundation of China under Grants 11401488. The main work was presented in Proceedings of IWSDA'2015.