ADVANCES IN MATHEMATICS OF COMMUNICATIONS, vol.17, pp.572-588, 2023 (SCI-Expanded)
Article / Article
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
Nearly perfect sequence, partial direct product difference set, quaternary sequence, autocorrelation, cyclotomic classes, BALANCED BINARY SEQUENCES, AUTOCORRELATION, PERFECT, FAMILY
Middle East Technical University Affiliated:
In this paper, we study the m-ary sequences with (non-consecutive) two zero-symbols and at most two distinct autocorrelation coefficients, which are known as almost m-ary nearly perfect sequences. We show that these sequences are equivalent to P-partial direct product difference sets (PDPDS), then we extend known results on the sequences with two consecutive zero symbols to non-consecutive case. Next, we study the notion of multipliers and orbit combination for P-PDPDS. Finally, we present two construction methods for a family of almost quaternary sequences with at most two out-of-phase autocorrelation coefficients.