Partial Correlations of Galois Ring Sequences

Abstract

Galois ring m-sequences were introduced in the late 1980s and early 1990s, and have near-optimal full periodic correlations. They are related to Z4-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 these sequences. These correlation moments have applications in synchronisation performance of CDMA systems using Galois ring m-sequences.