# Recent Advances in Low-Correlation Sequences

This chapter aims to provide an overview of four topics of current interest relating to the design and analysis of sequences with low correlation. The topics in question are the discovery of new families of cyclic Hadamard difference sets over the past decade following a gap of almost 40 years, the recent realization of the existence of long sequences with larger merit factor than was previously suspected, the development of a theory of sequences possessing a low-correlation zone, and the recent novel construction of low-correlation sequences over the quadrature-amplitude-modulation (QAM) alphabet. While there has also been considerable recent interest on the topic of the design of sequences with low values of peak-to-average power ratio (PAPR), this topic has been addressed in-depth in the recent publication [1] by Litsyn.

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