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| Content Provider | IET Digital Library |
|---|---|
| Author | U, Xiaoni D I, Xiaodan L N, Yunqi W A |
| Abstract | Linear codes have been an interesting topic in both theory and practice for many years. Based on the theory of defining set, a class of three-weight and five-weight linear codes over prime field Fp are constructed, which is an extension of Wang et al.'s construction. Our construction include some optimal codes and almost optimal codes with respect to the Singleton bounds. We employ exponential sums to investigate the weight distributions of these linear codes. The results show that these codes can be used to construct secret sharing schemes. |
| Starting Page | 457 |
| Ending Page | 460 |
| Page Count | 4 |
| ISSN | 10224653 |
| Volume Number | 28 |
| e-ISSN | 20755597 |
| Issue Number | Issue 3, May (2019) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/cje/28/3 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/cje.2019.03.009 |
| Journal | Chinese Journal of Electronics |
| Publisher Date | 2019-05-01 |
| Access Restriction | Open |
| Rights Holder | © Chinese Institute of Electronics |
| Subject Keyword | Algebra Code Cryptography Five-weight Linear Code Linear Code Optimal Code Three-weight Linear Code Weight Distribution |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Electrical and Electronic Engineering |
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