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.)
Finite fields
Introduction to Coding Theory
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
Sets of frequency hopping sequences: bounds and optimal constructions
IEEE Transactions on Information Theory
Optimal sets of frequency hopping sequences with large linear spans
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
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Frequency hopping (FH) sequences are needed in FH code division multiple access (CDMA) systems. Recently some new constructions of optimal sets of FH sequences were presented. For the anti-jamming purpose, FH sequences are required to have a large linear span. The objective of this paper is to determine both the linear spans and the minimal polynomials of the FH sequences in these optimal sets. Furthermore, the linear spans of the transformed FH sequences by applying a power permutation are also investigated. If the power is chosen properly, the linear span could be very large compared to the length of the FH sequences.