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| Content Provider | IET Digital Library |
|---|---|
| Author | Gao, Juntao Hu, Yupu Li, Xuelian |
| Abstract | Optimal set of the frequency hopping sequences can be derived from some irreducible cyclic codes. This paper determines the linear span of the frequency hopping sequences in the optimal set. The linear span is much less than the length of the frequency hopping sequences. In order to improve the linear span, we use two types of permutation polynomials, power permutation and binomial permutation, to transform the optimal set of the frequency hopping sequences. The transformed frequency hopping sequences have optimal Hamming correlation and larger linear span than the original frequency hopping sequences. Compared with the original frequency hopping sequences, the transformed optimal frequency hopping sequences have higher security to resist the cryptanalytic method. |
| Starting Page | 818 |
| Ending Page | 823 |
| Page Count | 6 |
| ISSN | 10224653 |
| Volume Number | 24 |
| e-ISSN | 20755597 |
| Issue Number | Issue 4, Oct (2015) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/cje/24/4 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/cje.2015.10.026 |
| Journal | Chinese Journal of Electronics |
| Publisher Date | 2015-10-01 |
| Access Restriction | Open |
| Rights Holder | © Chinese Institute of Electronics |
| Subject Keyword | Algebra Binomial Permutation Code Cryptanalytic Method Cyclic Codes Frequency Hop Communication Hamming Code Irreducible Cyclic Code Linear Span Optimal Frequency Hopping Sequence Optimal Hamming Correlation Permutation Polynomials Polynomial Power Permutation Radio Link And Equipment |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Electrical and Electronic Engineering |
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