Quadriphase sequences obtained from binary quadratic form sequences

Abstract

The development of the theory of Z4 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 Z4 sequences with low correlation property. © Springer-Verlag Berlin Heidelberg 2005.