Frequency-hopping code sequence designs having large linear span
IEEE Transactions on Information Theory
Finite fields
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
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
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
The linear span of the frequency hopping sequences in optimal sets
Designs, Codes and Cryptography
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
| Hi-index | 754.84 |
Frequency hopping (FH) is one of the basic spread coding technologies in spread spectrum communications. FH sequences are needed in FH code-division multiple access (CDMA) systems. For the anti-jamming purpose, FH sequences are required to have a large linear span. A few optimal sets of FH sequences are available in the literature. However, their sequences have very small linear spans. It is known that an optimal set of FH sequences could be transformed to another optimal set of FH sequences with large linear spans by a power permutation, if the power is chosen properly [see C. Ding and J. Yin, IEEE Trans. Inf. Theory, vol. IT-54, pp. 3741-3745, 2008]. The objective of this paper is to investigate this idea of C. Ding and J. Yin further, and determine the linear span of the FH sequences in the optimal sets obtained by applying a power permutation to some existing optimal sets of FH sequences.