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有限域上常循環(huán)厄密特對(duì)偶包含碼及其應(yīng)用

朱士信,  黃山,  李錦

朱士信, 黃山, 李錦. 有限域上常循環(huán)厄密特對(duì)偶包含碼及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 2018, 40(5): 1072-1078. doi: 10.11999/JEIT170735
引用本文: 朱士信, 黃山, 李錦. 有限域上常循環(huán)厄密特對(duì)偶包含碼及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 2018, 40(5): 1072-1078. doi: 10.11999/JEIT170735
ZHU Shixin, HUANG Shan, LI Jin. Constacyclic Hermitian Dual-containing Codes over Finite Fields and Their Application[J]. Journal of Electronics & Information Technology, 2018, 40(5): 1072-1078. doi: 10.11999/JEIT170735
Citation: ZHU Shixin, HUANG Shan, LI Jin. Constacyclic Hermitian Dual-containing Codes over Finite Fields and Their Application[J]. Journal of Electronics & Information Technology, 2018, 40(5): 1072-1078. doi: 10.11999/JEIT170735

有限域上常循環(huán)厄密特對(duì)偶包含碼及其應(yīng)用

doi: 10.11999/JEIT170735
基金項(xiàng)目: 

國(guó)家自然科學(xué)基金(61772168, 61572168)，安徽省自然科學(xué)基金(1508085SQA198, 1708085QA01)

Constacyclic Hermitian Dual-containing Codes over Finite Fields and Their Application

Funds: 

The National Natural Science Foundation of China (61772168, 61572168), The Natural Science Found of Anhui Province (1508085SQA198, 1708085QA01)

  • 摘要: 該文研究了有限域GF(q2)上長(zhǎng)度為(q2m-1)/(q2-1)的常循環(huán)碼。給出一類(lèi)常循環(huán)碼是厄米特對(duì)偶包含碼的一個(gè)充要條件，并確定了這類(lèi)常循環(huán)厄米特對(duì)偶包含碼的參數(shù)。利用厄米特構(gòu)造，得到了比量子BCH碼參數(shù)更好的量子糾錯(cuò)碼。
    Abstract: In this paper, constacyclic codes over the finite fieldGF(q2) of length(q2m-1)/(q2-1) are studied. A sufficient and necessary condition for a class of constacyclic codes to be Hermitian dual-containing codes is given, and the parameters of this class of constacyclic codes are determined. Using Hermitian construction, the obtained quantum codes, are better than the parameters of quantum BCH codes.
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  • 文章訪(fǎng)問(wèn)數(shù):  1326
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出版歷程
  • 收稿日期:  2017-07-20
  • 修回日期:  2018-01-10
  • 刊出日期:  2018-05-19

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