Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6
| Autor: | Kewat, Pramod Kumar, Kumari, Priti |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | Binary Whiteman's cyclotomic sequences of orders 2 and 4 have a number of good randomness properties. In this paper, we compute the autocorrelation values and linear complexity of the first class two-prime Whiteman's generalized cyclotomic sequence (WGCS-I) of order $d=6$. Our results show that the autocorrelation values of this sequence is four-valued or five-valued if $(n_1-1)(n_2-1)/36$ is even or odd respectively, where $n_1$ and $n_2$ are two distinct odd primes and their linear complexity is quite good. We employ the two-prime WGCS-I of order 6 to construct several classes of cyclic codes over $\mathrm{GF}(q)$ with length $n_1n_2$. We also obtain the lower bounds on the minimum distance of these cyclic codes. Comment: 21 pages. arXiv admin note: text overlap with arXiv:1507.05506 |
| Databáze: | arXiv |
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