New Constructions of One-Coincidence Sequence Sets over Integer Rings

Jin-Ho Chung (), Daehan Ahn and Daehwan Kim
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Jin-Ho Chung: Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea
Daehan Ahn: Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea
Daehwan Kim: Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea

Mathematics, 2024, vol. 12, issue 21, 1-11

Abstract: In this paper, we introduce new constructions of one-coincidence frequency-hopping sequence (OC-FHS) sets over integer rings. These OC-FHSs are designed to minimize interference in frequency-hopping multiple access (FHMA) systems, which are widely used in various communication applications. By leveraging the properties of primitive elements in integer ring Z p n , we develop OC-FHS sets with lengths m p n − 1 for m dividing ( p − 1 ) , along with constructions with composite lengths based on linear functions. The proposed OC-FHS sets include parameters not previously addressed in the literature and encompass some known cases as special cases.

Keywords: frequency-hopping; hamming correlation; primitive root; pseudorandom sequence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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