Sets of Frequency Hopping Sequences: Bounds and Optimal Constructions

DOI10.1109/TIT.2009.2021366zbMath1367.94022OpenAlexW2160808756MaRDI QIDQ4975931

Miwako Mishima, Yuichiro Fujiwara, Masakazu Jimbo, Cunsheng Ding, Ryoh Fuji-Hara

Publication date: 8 August 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2009.2021366

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Communication theory (94A05) Source coding (94A29)

Related Items (32)

Linear spans of optimal sets of frequency hopping sequences ⋮ Optimal Frequency-Hopping Sequence Sets Based on Cyclotomy ⋮ Frequency/time hopping sequence sets with optimal partial Hamming correlation properties ⋮ Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques ⋮ Constructions of optimal low-hit-zone frequency hopping sequence sets ⋮ On Low-Hit-Zone Frequency-Hopping Sequence Sets with Optimal Partial Hamming Correlation ⋮ A new class of optimal wide-gap one-coincidence frequency-hopping sequence sets ⋮ Three-weight cyclic codes and their weight distributions ⋮ New frequency-hopping sequence sets with good parameters under aperiodic Hamming correlation ⋮ Two classes of near-optimal frequency-hopping sequence sets with prime-power period ⋮ Decimated \(m\)-sequences families with optimal partial Hamming correlation ⋮ Frequency-hopping sequence sets with no-hit-zone through Cartesian product ⋮ Disjoint difference families and their applications ⋮ Unified combinatorial constructions of optimal optical orthogonal codes ⋮ New classes of strictly optimal low hit zone frequency hopping sequence sets ⋮ The linear span of the frequency hopping sequences in optimal sets ⋮ Sets of frequency hopping sequences under aperiodic Hamming correlation: upper bound and optimal constructions ⋮ A new family of optimal FHS sets with composite lengths ⋮ Three new classes of optimal frequency-hopping sequence sets ⋮ New sets of optimal low-hit-zone frequency-hopping sequences based on \(m\)-sequences ⋮ Improved singleton bound on frequency hopping sequences and optimal constructions ⋮ A lower bound on the average Hamming correlation of frequency-hopping sequence sets ⋮ New families of strictly optimal frequency hopping sequence sets ⋮ Two classes of binary cyclic codes and their weight distributions ⋮ Weight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugates ⋮ Hamming correlation properties of the array structure of Sidelnikov sequences ⋮ Two constructions of low-hit-zone frequency-hopping sequence sets ⋮ Optimal frequency-hopping sequences based on the decimated \(m\)-sequences ⋮ NEW OPTIMAL FREQUENCY HOPPING SEQUENCE SETS FROM BALANCED NESTED DIFFERENCE PACKINGS OF PARTITION-TYPE ⋮ New lower bounds on the aperiodic Hamming correlations of frequency hopping sequences with low hit zone ⋮ Simplified Bounds on FHSs Set and Its Strictly Optimal Construction ⋮ A class of cyclic codes from two distinct finite fields

This page was built for publication: Sets of Frequency Hopping Sequences: Bounds and Optimal Constructions