In this paper we study the structure of self-dual cyclic codes over the ring $Lambda= Z_4+uZ_4$. 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.
Rong LUO
Southwest Jiaotong University
Udaya PARAMPALLI
University of Melbourne
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Rong LUO, Udaya PARAMPALLI, "Self-Dual Cyclic Codes over $mathbb{Z}_4+umathbb{Z}_4$" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 4, pp. 969-974, April 2017, doi: 10.1587/transfun.E100.A.969.
Abstract: In this paper we study the structure of self-dual cyclic codes over the ring $Lambda= Z_4+uZ_4$. 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.969/_p
Copy
@ARTICLE{e100-a_4_969,
author={Rong LUO, Udaya PARAMPALLI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Self-Dual Cyclic Codes over $mathbb{Z}_4+umathbb{Z}_4$},
year={2017},
volume={E100-A},
number={4},
pages={969-974},
abstract={In this paper we study the structure of self-dual cyclic codes over the ring $Lambda= Z_4+uZ_4$. 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.},
keywords={},
doi={10.1587/transfun.E100.A.969},
ISSN={1745-1337},
month={April},}
Copy
TY - JOUR
TI - Self-Dual Cyclic Codes over $mathbb{Z}_4+umathbb{Z}_4$
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 969
EP - 974
AU - Rong LUO
AU - Udaya PARAMPALLI
PY - 2017
DO - 10.1587/transfun.E100.A.969
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2017
AB - In this paper we study the structure of self-dual cyclic codes over the ring $Lambda= Z_4+uZ_4$. 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.
ER -