科研之友
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摘要
For the complete five-valued cross-correlation distribution between two m-sequences st and sdt of period 2(m) -1 that differ by the decimation d = (2(2k) + 1)/(2(k) + 1) where m is odd and gcd(k, m) = 1, Johansen and Helleseth expressed it in terms of some exponential sums. And two conjectures were presented about them. In this correspondence we study these conjectures for the particular case where k = 3, and the cases k = 1, 2 can also be analyzed in a similar process. When k > 3, the degrees of the relevant polynomials will become higher.
- 出版日期2014-9
- 单位上海交通大学
