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Sequences with low correlation have important applications in communications, radar, cryptography, and also in compressed sensing. The ultimate objective of this paper is to design a new family of polyphase… Click to show full abstract
Sequences with low correlation have important applications in communications, radar, cryptography, and also in compressed sensing. The ultimate objective of this paper is to design a new family of polyphase sequences with low correlation. Our main contribution is the construction of such a family using additive and multiplicative characters over Galois rings. The proposed sequences have lengths N = pm − 1, family size M = pkm − 1, and a maximum magnitude $\theta _{\max \limits }=p^{k-1}\sqrt {p^{m}}$ , where k is an integer with 1 ≤ k < m.
Journal Title: Cryptography and Communications
Year Published: 2021
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