Synthesis method for bent sequences in the Vilenkin-Chrestenson basis

Abstract

The paper presents a method developed for building a complete class of bent sequences of length N = 9 in the Vilenkin–Chrestenson basis based on employing three reference constructions. The first construction allows the bent sequences of arbitrary length N=3^2k, k ∈ ℕ to be built. The resultant bent sequences can be used both in cryptographic applications and as constant amplitude codes in the MC-CDMA technology. A design of the gamma xoring block of graphic and video information based on bent sequences in the Vilenkin–Chrestenson basis was also proposed.