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In this work, a classical problem of the digital sequence design, or moreprecisely, finding binary sequences with optimal peak sidelobe level (PSL), isrevisited. By combining some of our previous works, together with somemathematical insights, few hybrid heuristic algorithms were created. During ourexperiments, and by using the aforementioned algorithms, we were able to findPSL-optimal binary sequences for all those lengths, which were previously foundduring exhaustive searches by various papers throughout the literature. Then,by using a general-purpose computer, we further demonstrate the effectivenessof the proposed algorithms by revealing binary sequences with lengths between106 and 300, the majority of which possess record-breaking PSL values. Then, byusing some well-known algebraic constructions, we outline few strategies forfinding highly competitive binary sequences, which could be efficientlyoptimized, in terms of PSL, by the proposed algorithms.

Hybrid Constructions of Binary Sequences with Low Autocorrelation Sidelobes