On partial correlations of various $Z_{4}$ sequence families. (English)
Golomb, Solomon W. (ed.) et al., Sequences and their applications ‒ SETA 2008. 5th international conference, Lexington, KY, USA, September 14‒18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 332-344 (2008).
Summary: Galois ring $m$-sequences were introduced in the late 1980s and early 1990s, and have near-optimal full periodic correlations. They are related to $Z _{4}$-linear codes, and are used in CDMA communications. We consider periodic correlation and obtain algebraic expressions of the first two partial period correlation moments of the sequences belonging to families A, B and C. These correlation moments have applications in synchronisation performance of CDMA systems using Galois ring sequences. The use of Association Schemes provides us with a new uniform technique for analyzing the sequence families A, B and C.
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