Abstract
The development of the theory of Z 4 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 4 sequences with low correlation property.
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© 2005 Springer-Verlag Berlin Heidelberg
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Tang, X., Udaya, P., Fan, P. (2005). Quadriphase Sequences Obtained from Binary Quadratic Form Sequences. In: Helleseth, T., Sarwate, D., Song, HY., Yang, K. (eds) Sequences and Their Applications - SETA 2004. SETA 2004. Lecture Notes in Computer Science, vol 3486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11423461_17
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DOI: https://doi.org/10.1007/11423461_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26084-4
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