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| Content Provider | IET Digital Library |
|---|---|
| Author | G, Jian D I N I, Hongju L |
| 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 pN p , 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. |
| Starting Page | 46 |
| Ending Page | 51 |
| Page Count | 6 |
| ISSN | 10224653 |
| Volume Number | 27 |
| e-ISSN | 20755597 |
| Issue Number | Issue 1, Jan (2018) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/cje/27/1 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/cje.2017.10.001 |
| Journal | Chinese Journal of Electronics |
| Publisher Date | 2018-01-01 |
| Access Restriction | Open |
| Rights Holder | © Chinese Institute of Electronics |
| Subject Keyword | Code Cyclic Codes Distance-preserving Gray Map Finite Field Gray Code Gray Image Hamming Code Hamming Distances P-Ary Negacyclic Code Singleton Bound |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Electrical and Electronic Engineering |
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