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Given a parameter n with n=0 \\pmod{4} , the period of the sequences is 2^{n}-1 , the number of sequences in the set is 2^{n/2} , and the cross/auto correlation function has three values with magnitudes \\leq 2^{n/2}+1 . The equivalent linear span of the codes is bound above by \\sum_{i=1}^{n/4}\\left(\\stackrel{n}{i} \\right) . These new signal sets have the same size and correlation properties as the small set of Kasami codes, but they have important advantages for use in spread spectrum multiple access communications systems. First, the sequences are \"balances,\" which represents only a slight advantage. Second, the sequence generators are easy to randomly initialize into any assigned code and hence can be rapidly \"hopped\" from sequence to sequence for code division multiple access operation. Most importantly, the codes are nonlinear in that the order of the linear difference equation satisfied by the sequence can be orders of magnitude larger than the number of memory elements in the generator that produced it. 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Bent-function sequences 论文

Bent-function sequences · 相关文章