q-ary Quasi-Cyclic Codes on Matroid Theory

q-ary Quasi-Cyclic Codes on Matroid Theory

In this paper, rate 1/p q-ary systematic quasi-cyclic codes are constructed based on matroid theory. The relationship between the generator matrix and minimum distance d is derived. Examples and algorithm are presented.

Bibliographic Details
Main Authors: Xiuli Li, Pengcheng Zhao, Dangsheng Zhou
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201817303095
id doaj-4db9de831ef649e0a8547a9200c3348f
record_format Article
spelling doaj-4db9de831ef649e0a8547a9200c3348f2021-02-02T07:50:12ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011730309510.1051/matecconf/201817303095matecconf_smima2018_03095q-ary Quasi-Cyclic Codes on Matroid TheoryXiuli LiPengcheng ZhaoDangsheng ZhouIn this paper, rate 1/p q-ary systematic quasi-cyclic codes are constructed based on matroid theory. The relationship between the generator matrix and minimum distance d is derived. Examples and algorithm are presented.https://doi.org/10.1051/matecconf/201817303095
collection DOAJ
language English
format Article
sources DOAJ
author Xiuli Li
Pengcheng Zhao
Dangsheng Zhou
spellingShingle Xiuli Li
Pengcheng Zhao
Dangsheng Zhou
q-ary Quasi-Cyclic Codes on Matroid Theory
MATEC Web of Conferences
author_facet Xiuli Li
Pengcheng Zhao
Dangsheng Zhou
author_sort Xiuli Li
title q-ary Quasi-Cyclic Codes on Matroid Theory
title_short q-ary Quasi-Cyclic Codes on Matroid Theory
title_full q-ary Quasi-Cyclic Codes on Matroid Theory
title_fullStr q-ary Quasi-Cyclic Codes on Matroid Theory
title_full_unstemmed q-ary Quasi-Cyclic Codes on Matroid Theory
title_sort q-ary quasi-cyclic codes on matroid theory
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description In this paper, rate 1/p q-ary systematic quasi-cyclic codes are constructed based on matroid theory. The relationship between the generator matrix and minimum distance d is derived. Examples and algorithm are presented.
url https://doi.org/10.1051/matecconf/201817303095
work_keys_str_mv AT xiulili qaryquasicycliccodesonmatroidtheory
AT pengchengzhao qaryquasicycliccodesonmatroidtheory
AT dangshengzhou qaryquasicycliccodesonmatroidtheory
_version_ 1724298524378529792

Similar Items