The Hamming Distances of a Class of <i>p</i>-Ary Negacyclic Codes

DING Jian; LI Hongju

doi:10.1049/cje.2017.10.001

Volume 27 Issue 1

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DING Jian and LI Hongju, “The Hamming Distances of a Class of p-Ary Negacyclic Codes,” Chinese Journal of Electronics, vol. 27, no. 1, pp. 46-51, 2018, doi: 10.1049/cje.2017.10.001

Citation:

DING Jian and LI Hongju, “The Hamming Distances of a Class of p-Ary Negacyclic Codes,” Chinese Journal of Electronics, vol. 27, no. 1, pp. 46-51, 2018, doi: 10.1049/cje.2017.10.001

DING Jian and LI Hongju, “The Hamming Distances of a Class of p-Ary Negacyclic Codes,” Chinese Journal of Electronics, vol. 27, no. 1, pp. 46-51, 2018, doi: 10.1049/cje.2017.10.001

Citation:

DING Jian and LI Hongju, “The Hamming Distances of a Class of p-Ary Negacyclic Codes,” Chinese Journal of Electronics, vol. 27, no. 1, pp. 46-51, 2018, doi: 10.1049/cje.2017.10.001

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The Hamming Distances of a Class of p-Ary Negacyclic Codes

doi: 10.1049/cje.2017.10.001

Department of General Education, Anhui Xinhua University, Hefei 230088, China

Funds: This work is supported by Anhui Province Natural Science Research (No.KJ2015A308, No.KJ2015JD18, No.KJ2016A307, No.KJ2017A623) and Anhui Province Colleges Outstanding Young Talents Program (No.gxyqZD2016389).

Received Date: 2016-04-21
Rev Recd Date: 2016-09-07
Publish Date: 2018-01-10

Abstract

Abstract

Based on the construction of a new distance-preserving Gray map from ((F_p + uF_p)^N, Gray distance) to (the corresponding Gray images in F_p^pN, Hamming distance) and the calculation of Gray distances of (u-1)-constacyclic codes over F_p + uF_p, a bound for the Hamming distances of a class of negacyclic codes with length pN over F_p is obtained, which is more tighter than Singleton bound. Further more, the exact Hamming distances of some p-ary negacyclic codes are determined from this bound, some of which cannot be got from Dinh's work published on Finite Fields and Their Applications in 2008.
- Negacyclic code,
- Hamming distance,
- Gray distance,
- Gray map

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References(14)

References

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