Two classes of near-optimal frequency-hopping sequence sets with prime-power period

DOI10.1007/s12095-017-0229-6zbMath1387.94062OpenAlexW2617391020MaRDI QIDQ1699260

Gaojun Luo, Xiwang Cao, Shanding Xu, Guangkui Xu

Publication date: 19 February 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-017-0229-6

zbMATH Keywords

generalized cyclotomyfrequency-hopping sequencemaximal Hamming correlation

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Primes (11A41)

Cites Work

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• Three new classes of optimal frequency-hopping sequence sets
• New generalized cyclotomy and its applications
• New constructions of optimal frequency hopping sequences with new parameters
• A lower bound on the average Hamming correlation of frequency-hopping sequence sets
• New sets of frequency-hopping sequences with optimal Hamming correlation
• A new frequency-hopping sequence set based upon generalized cyclotomy
• Average Hamming correlation for the cubic polynomial hopping sequences
• Optimal Families of Perfect Polyphase Sequences From the Array Structure of Fermat-Quotient Sequences
• Optimal Frequency Hopping Sequences of Odd Length
• A New Class of Balanced Near-Perfect Nonlinear Mappings and Its Application to Sequence Design
• Optimal Frequency-Hopping Sequence Sets Based on Cyclotomy
• Optimal Frequency-Hopping Sequences Via Cyclotomy
• Optimal Frequency Hopping Sequences: A Combinatorial Approach
• Lower Bounds on the Hamming Auto- and Cross Correlations of Frequency-Hopping Sequences
• Algebraic Constructions of Optimal Frequency-Hopping Sequences
• A Class of Optimal Frequency Hopping Sequences Based upon the Theory of Power Residues
• Sets of Optimal Frequency-Hopping Sequences
• Families of sequences with optimal Hamming-correlation properties
• On the Sidel'nikov Sequences as Frequency-Hopping Sequences
• New Classes of Optimal Frequency-Hopping Sequences by Interleaving Techniques
• Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation Properties
• Sets of Frequency Hopping Sequences: Bounds and Optimal Constructions
• New Constructions for Optimal Sets of Frequency-Hopping Sequences
• $k$-Fold Cyclotomy and Its Application to Frequency-Hopping Sequences
• Optimal Sets of Frequency Hopping Sequences From Linear Cyclic Codes
• Optimal Frequency-Hopping Sequences With New Parameters
• A Unified Approach to Whiteman's and Ding-Helleseth's Generalized Cyclotomy Over Residue Class Rings
• A family of difference sets

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