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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。
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  • 文章訪(fǎng)問(wèn)數(shù):  1326
  • HTML全文瀏覽量:  200
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  • 被引次數(shù): 0
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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