Almost perfect sequence family with perfect crosscorrelation
2020 International Symposium on Information Theory and Its Applications (ISITA)(2020)
Abstract
Perfect sequence (PS) is the sequence with zero autocorrelation at all the non-zero phase-shifts and (M, L)almost perfect sequence (APS) is the sequence of period L that has zero autocorrelation except for M non-zero phase-shifts. In this paper, we propose a (q-1/d -1, q
n
-1/d )-APS family with set size q-/ d -1 constructed from relative difference sets for prime power q and divisor d of q - 1. We further prove that the proposed family has perfect crosscorrelation.
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Key words
perfect crosscorrelation,zero autocorrelation,perfect sequence family,nonzero phase-shifts
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