On a Class of Almost Perfect Sequences

Document Type

Article

Publication Date

6-15-1997

Abstract

Periodic  ± 1 sequences all but one of whose out-of-phase autocorrelation coefficients are zero are studied by9. Using the equivalence of these almost perfect sequences to certain classes of cyclic divisible difference sets (as noted by7), we investigate the case θ = 2 (in the terminology of [9]). Sequences of periods 8, 12, and 28 are given and several nonexistence results are obtained. Our results suggest that it is unlikely to have such sequences for periods greater than 28.

DOI

10.1006/jabr.1997.6962

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