Journal article
Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings
P Udaya, MU Siddiqi
IEEE TRANSACTIONS ON INFORMATION THEORY | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 1998
DOI: 10.1109/18.681324
Abstract
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. © 1998 IEEE.