The linear span of the frequency hopping sequences in optimal sets |
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Authors: | Qi Wang |
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Institution: | (1) College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, 210046, China |
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Abstract: | 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. |
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Keywords: | |
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