Frequency-hopping code sequence designs having large linear span
IEEE Transactions on Information Theory
Spread spectrum communications handbook (revised ed.)
Spread spectrum communications handbook (revised ed.)
Combinatorial characterizations of one-coincidence frequency-hopping sequences
Designs, Codes and Cryptography
Further combinatorial constructions for optimal frequency-hopping sequences
Journal of Combinatorial Theory Series A - Special issue in honor of Jacobus H. van Lint
Optimal frequency hopping sequences: auto- and cross-correlation properties
IEEE Transactions on Information Theory
Sets of frequency hopping sequences: bounds and optimal constructions
IEEE Transactions on Information Theory
On the Sidel'nikov sequences as frequency-hopping sequences
IEEE Transactions on Information Theory
Optimal biphase sequences with large linear complexity derived from sequences over Z4
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
New families of binary sequences with optimal three-level autocorrelation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Lower bounds on the Hamming auto- and cross correlations of frequency-hopping sequences
IEEE Transactions on Information Theory
Optimal frequency hopping sequences: a combinatorial approach
IEEE Transactions on Information Theory
Optimal frequency-hopping sequences via cyclotomy
IEEE Transactions on Information Theory
Algebraic Constructions of Optimal Frequency-Hopping Sequences
IEEE Transactions on Information Theory
Sets of Optimal Frequency-Hopping Sequences
IEEE Transactions on Information Theory
A New Class of Sequences With Zero or Low Correlation Zone Based on Interleaving Technique
IEEE Transactions on Information Theory
Theory and applications of q-ary interleaved sequences
IEEE Transactions on Information Theory
Optimal frequency-hopping sequences with new parameters
IEEE Transactions on Information Theory
New families of frequency-hopping sequences of length mN derived from the k-fold cyclotomy
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
On the aperiodic hamming correlation of frequency-hopping sequences from norm functions
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Low-Hit-Zone frequency-hopping sequence sets with new parameters
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
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In this paper we construct new classes of optimal frequency-hopping sequences (FHSs) with respect to the Lempel-Greenberger bound and the Peng-Fan bound by interleaving techniques which are used to construct a sequence of length kN from k sequences of length N. We first give two generic constructions for optimal FHS sets from some known optimal FHS sets by interleaving techniques and present some examples of new optimal FHS sets. We then design new optimal FHSs whose parameters include those of the known optimal constructions with length kN and frequency set size N for some positive integers k and N. We also construct optimal FHS sets of length kp from power-residue sequences for any odd prime p and 2 ≤ k p. In particular, our constructions give several new parameters not covered in the literature, which are summarized in Tables I and II.