Sets of frequency hopping sequences under aperiodic Hamming correlation: upper bound and optimal constructions

DOI10.3934/amc.2014.8.359zbMath1300.94038OpenAlexW1975499897MaRDI QIDQ476359

Daiyuan Peng, Xing Liu

Publication date: 28 November 2014

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2014.8.359

zbMATH Keywords

upper boundaperiodic Hamming correlationfrequency hopping sequencesfrequency hopping spread spectrumPeng-Fan bound

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)

Related Items (5)

NHZ frequency hopping sequence sets under aperiodic Hamming correlation: tighter bound and optimal constructions ⋮ New frequency-hopping sequence sets with good parameters under aperiodic Hamming correlation ⋮ Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques ⋮ Improved singleton bound on frequency hopping sequences and optimal constructions ⋮ Frequency-hopping sequence sets with good aperiodic Hamming correlation property

Cites Work

• Unnamed Item
• Unnamed Item
• Frequency/time hopping sequence sets with optimal partial Hamming correlation properties
• Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone
• Comma-Free Codes
• Frequency Hopping Sequences With Optimal Partial Autocorrelation Properties
• Lower Bounds on the Hamming Auto- and Cross Correlations of Frequency-Hopping Sequences
• A Class of Optimal Frequency Hopping Sequences Based upon the Theory of Power Residues
• On Cryptosystems Based on Polynomials and Finite Fields
• On the nonperiodic cyclic equivalence classes of Reed-Solomon codes
• Families of sequences with optimal Hamming-correlation properties
• Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings
• 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 Classes of Frequency-Hopping Sequences With Optimal Partial Correlation
• New Bound on Frequency Hopping Sequence Sets and Its Optimal Constructions
• Optimal Sets of Frequency Hopping Sequences From Linear Cyclic Codes
• kth-Order Near-Orthogonal Codes (Corresp.)

This page was built for publication: Sets of frequency hopping sequences under aperiodic Hamming correlation: upper bound and optimal constructions