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Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings

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2 Author(s)
Udaya, P. ; Dept. of Math., R. Melbourne Inst. of Technol. Univ., Vic., Australia ; Siddiqi, M.U.

We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spread-spectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hamming correlations according to Lempel-Greenberger (1974) 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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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 4 )