A class of pseudonoise sequences over GF(P) with low correlation zone

b = 1. The index set I must be of the form I = A [ B [ C where A = f1g B = fz + 1 j z 2 C0; z + 1 2 C0g and C = f0z j z 2 C1; z + 1 2 C1g: Observe that these three sets are pairwise-disjoint. Therefore, The other cases can be treated similarly. ACKNOWLEDGMENT The authors wish to thank the anonymous referee for careful review of the original manuscript and helpful comments. Double-check of the computer work by Existence of cyclic Hadamard difference sets and its relation to binary sequences with ideal autocorrelation, " J. A class of binary sequences with optimal autocorrelation properties, " IEEE Trans. of period 2 01 with ideal autocorrelation generated by the polynomial z + (z + 1) , " IEEE Trans.dorandom sequences of period 2 01 with ideal autocorrelation, " IEEE Extension of binary sequences with ideal autocorrelation property, " paper, preprint, 1999. [14] D. V. Sarwate, " Comments on 'A class of balanced binary sequences with optimal autocorrelation properties', " IEEE Trans. [17] V. M. Sidelnikov, " Some k-valued pseudo-random sequences and nearly equividistant codes, " Probl. Abstract—In this correspondence, a new class of pseudonoise sequences over GF (), based on Gordon–Mills–Welch (GMW) sequences, is constructed. The sequences have the property that, in a specified zone, the out-of-phase autocorrelation and cross-correlation values are all equal to 1. Such sequences with low correlation zone (LCZ) are suitable for approximately synchronized code-division multiple-access (CDMA) system.