DING Jian, LI Hongju. The Hamming Distances of a Class of p-Ary Negacyclic Codes[J]. Chinese Journal of Electronics, 2018, 27(1): 46-51. doi: 10.1049/cje.2017.10.001
Citation: DING Jian, LI Hongju. The Hamming Distances of a Class of p-Ary Negacyclic Codes[J]. Chinese Journal of Electronics, 2018, 27(1): 46-51. doi: 10.1049/cje.2017.10.001

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

doi: 10.1049/cje.2017.10.001
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
  • Based on the construction of a new distance-preserving Gray map from ((Fp + uFp)N, Gray distance) to (the corresponding Gray images in FppN, Hamming distance) and the calculation of Gray distances of (u-1)-constacyclic codes over Fp + uFp, a bound for the Hamming distances of a class of negacyclic codes with length pN over Fp 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.
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