A new family of binary sequences is constructed by Legendre sequence with period P, P=3 (mod 4). The new signal set includes two subsets consisting of (P−1)/2 and (P+1)/2 codes with good balance property. A conjecture about the maximum over all (non–trivial) autocorrelation and crosscorrelation values of sequence contained within the two subsets is proposed.
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Zhang et al. (2002) studied this question.
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