Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings
We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spreadspectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hammi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Electrical and Electronics Engineers Inc.
1998
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14019/ http://irep.iium.edu.my/14019/ http://irep.iium.edu.my/14019/ http://irep.iium.edu.my/14019/1/Optimal_Large_Linear_Complexity_Frequency_Hopping_Patterns_Derived_from_Polynomial_Residue_Class_Rings.pdf |
| Summary: | We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spreadspectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hamming correlations according to Lempel-Greenberger bound. The nonlinear sequences have large linear complexity and can be seen as a generalized version of GMW sequences over fields |
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