A Note on Cross Correlation Distribution of Ternary m-Sequences

TL;DR

This paper proves a conjecture regarding the distribution of cross correlation in ternary m-sequences, advancing understanding in sequence analysis for communication systems.

Contribution

It provides a formal proof of a conjecture on cross correlation distribution of ternary m-sequences, which was previously unresolved.

Findings

Confirmed the conjecture on cross correlation distribution

Enhanced theoretical understanding of ternary m-sequences

Contributed to sequence analysis in communication theory

Abstract

In this note, we prove a conjecture proposed by Tao Zhang, Shuxing Li, Tao Feng and Gennian Ge, IEEE Transaction on Information Theory, vol. 60, no. 5, May 2014. This conjecture is about the cross correlation distribution of ternary $m$-sequences.