The Depth Spectra of Linear Codes over F2+uF2+u2F2
Summary :
In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R=F2+uF2+u2F2, where u3=1. By using homomorphism of abelian groups from R to F2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8k14k22k3 are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.1 pp.429-432
- Publication Date
- 2016/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.429
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Ting YAO
Anhui University
Minjia SHI
Anhui University
Ya CHEN
Anhui University
Keyword
Latest Issue
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Ting YAO, Minjia SHI, Ya CHEN, "The Depth Spectra of Linear Codes over F2+uF2+u2F2" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 1, pp. 429-432, January 2016, doi: 10.1587/transfun.E99.A.429.
Abstract: In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R=F2+uF2+u2F2, where u3=1. By using homomorphism of abelian groups from R to F2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8k14k22k3 are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.429/_p
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@ARTICLE{e99-a_1_429,
author={Ting YAO, Minjia SHI, Ya CHEN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Depth Spectra of Linear Codes over F2+uF2+u2F2},
year={2016},
volume={E99-A},
number={1},
pages={429-432},
abstract={In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R=F2+uF2+u2F2, where u3=1. By using homomorphism of abelian groups from R to F2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8k14k22k3 are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results.},
keywords={},
doi={10.1587/transfun.E99.A.429},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - The Depth Spectra of Linear Codes over F2+uF2+u2F2
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 429
EP - 432
AU - Ting YAO
AU - Minjia SHI
AU - Ya CHEN
PY - 2016
DO - 10.1587/transfun.E99.A.429
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2016
AB - In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R=F2+uF2+u2F2, where u3=1. By using homomorphism of abelian groups from R to F2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8k14k22k3 are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results.
ER -
English
