IEICE TRANSACTIONS on Fundamentals
Skew Cyclic Codes over $mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$
Summary :
In this article, we study skew cyclic codes over $R=mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$, where $q=p^{m}$, $p$ is an odd prime and v3=v. We describe the generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomial of the dual of a skew cyclic code over R. Moreover, the idempotent generators of skew cyclic codes over $mathbb{F}_{q}$ and R are considered.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.8 pp.1845-1848
- Publication Date
- 2015/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E98.A.1845
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Minjia SHI
Anhui University
Ting YAO
Anhui University
Adel ALAHMADI
King Abdulaziz University
Patrick SOLÉ
Telecom ParisTech
Keyword
Latest Issue
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Minjia SHI, Ting YAO, Adel ALAHMADI, Patrick SOLÉ, "Skew Cyclic Codes over $mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 8, pp. 1845-1848, August 2015, doi: 10.1587/transfun.E98.A.1845.
Abstract: In this article, we study skew cyclic codes over $R=mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$, where $q=p^{m}$, $p$ is an odd prime and v3=v. We describe the generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomial of the dual of a skew cyclic code over R. Moreover, the idempotent generators of skew cyclic codes over $mathbb{F}_{q}$ and R are considered.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.1845/_p
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@ARTICLE{e98-a_8_1845,
author={Minjia SHI, Ting YAO, Adel ALAHMADI, Patrick SOLÉ, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Skew Cyclic Codes over $mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$},
year={2015},
volume={E98-A},
number={8},
pages={1845-1848},
abstract={In this article, we study skew cyclic codes over $R=mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$, where $q=p^{m}$, $p$ is an odd prime and v3=v. We describe the generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomial of the dual of a skew cyclic code over R. Moreover, the idempotent generators of skew cyclic codes over $mathbb{F}_{q}$ and R are considered.},
keywords={},
doi={10.1587/transfun.E98.A.1845},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Skew Cyclic Codes over $mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1845
EP - 1848
AU - Minjia SHI
AU - Ting YAO
AU - Adel ALAHMADI
AU - Patrick SOLÉ
PY - 2015
DO - 10.1587/transfun.E98.A.1845
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2015
AB - In this article, we study skew cyclic codes over $R=mathbb{F}_{q}+vmathbb{F}_{q}+v^{2}mathbb{F}_{q}$, where $q=p^{m}$, $p$ is an odd prime and v3=v. We describe the generator polynomials of skew cyclic codes over this ring and investigate the structural properties of skew cyclic codes over R by a decomposition theorem. We also describe the generator polynomial of the dual of a skew cyclic code over R. Moreover, the idempotent generators of skew cyclic codes over $mathbb{F}_{q}$ and R are considered.
ER -
English
