On Constacyclic Codes over Zp1p2...pt

Let t ≥ 2 be an integer,and let p1,…,pt be distinct primes.By using algebraic properties,the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2...pt and the corresponding explicit enumerating formula.And it prove...

Full description

Saved in:
Bibliographic Details
Published in:数学年刊B辑（英文版） 2019, Vol.40 (4), p.555-566
Main Authors: Derong XIE, Qunying LIAO
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 566
container_issue 4
container_start_page 555
container_title 数学年刊B辑（英文版）
container_volume 40
creator Derong XIE
Qunying LIAO
description Let t ≥ 2 be an integer,and let p1,…,pt be distinct primes.By using algebraic properties,the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2...pt and the corresponding explicit enumerating formula.And it proves that there does not exist any self-dual cyclic code over Zp1p2...pt.
doi_str_mv 10.1007/s11401-019-0151-7
format article
fullrecord <record><control><sourceid>wanfang_jour</sourceid><recordid>TN_cdi_wanfang_journals_sxnk_e201904006</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><wanfj_id>sxnk_e201904006</wanfj_id><sourcerecordid>sxnk_e201904006</sourcerecordid><originalsourceid>FETCH-wanfang_journals_sxnk_e2019040063</originalsourceid><addsrcrecordid>eNpjYJA0NNAzNDAw1y82NDQxMNQ1MLQEYlNDXXMWBk4DI1MjXUtTS0sOBq7i4iwDA0MTc1MDTgZV_zwF5_y84pLE5MrknMxkICcltVghvyy1SCGqwLDASE9Pr6CEh4E1LTGnOJUXSnMzqLu5hjh76JYn5qUl5qXHZ-WXFuUBZeKLK_Ky41ONgHYbmBgYmBkTrxIAYAE1tw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On Constacyclic Codes over Zp1p2...pt</title><source>Springer Link</source><creator>Derong XIE ; Qunying LIAO</creator><creatorcontrib>Derong XIE ; Qunying LIAO</creatorcontrib><description>Let t ≥ 2 be an integer,and let p1,…,pt be distinct primes.By using algebraic properties,the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2...pt and the corresponding explicit enumerating formula.And it proves that there does not exist any self-dual cyclic code over Zp1p2...pt.</description><identifier>ISSN: 0252-9599</identifier><identifier>DOI: 10.1007/s11401-019-0151-7</identifier><language>eng</language><publisher>College of Mathematical Science, Sichuan Normal University, Chengdu 610066, China</publisher><ispartof>数学年刊B辑（英文版）, 2019, Vol.40 (4), p.555-566</ispartof><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.wanfangdata.com.cn/images/PeriodicalImages/sxnk-e/sxnk-e.jpg</thumbnail><link.rule.ids>314,780,784,4023,27922,27923,27924</link.rule.ids></links><search><creatorcontrib>Derong XIE</creatorcontrib><creatorcontrib>Qunying LIAO</creatorcontrib><title>On Constacyclic Codes over Zp1p2...pt</title><title>数学年刊B辑（英文版）</title><description>Let t ≥ 2 be an integer,and let p1,…,pt be distinct primes.By using algebraic properties,the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2...pt and the corresponding explicit enumerating formula.And it proves that there does not exist any self-dual cyclic code over Zp1p2...pt.</description><issn>0252-9599</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNpjYJA0NNAzNDAw1y82NDQxMNQ1MLQEYlNDXXMWBk4DI1MjXUtTS0sOBq7i4iwDA0MTc1MDTgZV_zwF5_y84pLE5MrknMxkICcltVghvyy1SCGqwLDASE9Pr6CEh4E1LTGnOJUXSnMzqLu5hjh76JYn5qUl5qXHZ-WXFuUBZeKLK_Ky41ONgHYbmBgYmBkTrxIAYAE1tw</recordid><startdate>2019</startdate><enddate>2019</enddate><creator>Derong XIE</creator><creator>Qunying LIAO</creator><general>College of Mathematical Science, Sichuan Normal University, Chengdu 610066, China</general><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>2019</creationdate><title>On Constacyclic Codes over Zp1p2...pt</title><author>Derong XIE ; Qunying LIAO</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-wanfang_journals_sxnk_e2019040063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Derong XIE</creatorcontrib><creatorcontrib>Qunying LIAO</creatorcontrib><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>数学年刊B辑（英文版）</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Derong XIE</au><au>Qunying LIAO</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Constacyclic Codes over Zp1p2...pt</atitle><jtitle>数学年刊B辑（英文版）</jtitle><date>2019</date><risdate>2019</risdate><volume>40</volume><issue>4</issue><spage>555</spage><epage>566</epage><pages>555-566</pages><issn>0252-9599</issn><abstract>Let t ≥ 2 be an integer,and let p1,…,pt be distinct primes.By using algebraic properties,the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2...pt and the corresponding explicit enumerating formula.And it proves that there does not exist any self-dual cyclic code over Zp1p2...pt.</abstract><pub>College of Mathematical Science, Sichuan Normal University, Chengdu 610066, China</pub><doi>10.1007/s11401-019-0151-7</doi></addata></record>
fulltext fulltext
identifier ISSN: 0252-9599
ispartof 数学年刊B辑（英文版）, 2019, Vol.40 (4), p.555-566
issn 0252-9599
language eng
recordid cdi_wanfang_journals_sxnk_e201904006
source Springer Link
title On Constacyclic Codes over Zp1p2...pt
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T12%3A39%3A45IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wanfang_jour&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Constacyclic%20Codes%20over%20Zp1p2...pt&rft.jtitle=%E6%95%B0%E5%AD%A6%E5%B9%B4%E5%88%8AB%E8%BE%91%EF%BC%88%E8%8B%B1%E6%96%87%E7%89%88%EF%BC%89&rft.au=Derong%20XIE&rft.date=2019&rft.volume=40&rft.issue=4&rft.spage=555&rft.epage=566&rft.pages=555-566&rft.issn=0252-9599&rft_id=info:doi/10.1007/s11401-019-0151-7&rft_dat=%3Cwanfang_jour%3Esxnk_e201904006%3C/wanfang_jour%3E%3Cgrp_id%3Ecdi_FETCH-wanfang_journals_sxnk_e2019040063%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_wanfj_id=sxnk_e201904006&rfr_iscdi=true