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

ZHU Shixin; HUANG Shan; LI Jin

doi:10.11999/JEIT170735

Volume 40 Issue 5

May 2018

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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

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

doi: 10.11999/JEIT170735

Funds:

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

Received Date: 2017-07-20
Rev Recd Date: 2018-01-10
Publish Date: 2018-05-19

Abstract

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.
- Quantum codes,
- Hermitian construction,
- Constacyclic codes,
- Cyclotomic cosets

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References(16)

References

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