科研之友
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摘要
In this paper, we always assume that p = 6f + 1 is a prime. First, we calculate the values of exponential sums of cyclotomic classes of orders 3 and 6 over an extension field of GF(3). Then, we give a formula to compute the linear complexity of all p(n+1)-periodic generalized cyclotomic sequences of order 6 over GF(3). After that, we compute the linear complexity and the minimal polynomial of a p(n+1)-periodic, balanced and generalized cyclotomic sequence of order 6 over GF(3), which is analogous to a generalized Sidelnikov's sequence. At last, we give some BCH codes with prime length p from cyclotomic sequences of orders three and six.
- 出版日期2014-8
- 单位南京航空航天大学
