Conference Proceedings

Quadriphase sequences obtained from binary quadratic form sequences

XH Tang, P Udaya, PZ Fan, T Helleseth (ed.), D Sarwate (ed.), HY Song (ed.), K Yang (ed.)

Sequences and Their Applications-SETA-2004 | SPRINGER-VERLAG BERLIN | Published : 2005

Abstract

The development of the theory of Z maximal length sequences in the last decade led to the discovery of several families of optimal quadriphase sequences. In theory, the construction uses the properties of Galois rings. In this paper, we propose a method for constructing quadriphase sequences using binary sequences based on quadratic forms. The study uses only the properties of Galois fields instead of Galois rings. We demonstrate the theory by constructing a new family of Z sequences with low correlation property. © Springer-Verlag Berlin Heidelberg 2005. 4 4