Binary sequences with three-valued cross correlations of different lengths

TL;DR

This paper introduces new binary sequence pairs with three-valued cross correlations of different lengths, demonstrating their low correlation properties through numerical results and discussing open problems.

Contribution

It presents novel binary sequence pairs with specific cross correlation properties and explores their potential applications and open questions.

Findings

Sequences have three cross correlation values

Cross correlations are shown to be low

Numerical results support the findings

Abstract

In this paper, new pairs of binary sequences with three cross correlation values are presented. The cross correlation values are shown to be low. Finally we present some numerical results and some open problems.