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Arithmetic crosscorrelation of binary $m$-sequences with coprime periods

Information Theory 2023-09-21 v1 math.IT Number Theory

Abstract

The arithmetic crosscorrelation of binary mm-sequences with coprime periods 2n112^{n_1}-1 and 2n212^{n_2}-1\ (gcd(n1,n2)=1\gcd(n_1,n_2)=1) is determined. The result shows that the absolute value of arithmetic crosscorrelation of such binary mm-sequences is not greater than 2min(n1,n2)12^{\min(n_1,n_2)}-1.

Keywords

Cite

@article{arxiv.2309.10990,
  title  = {Arithmetic crosscorrelation of binary $m$-sequences with coprime periods},
  author = {Xiaoyan Jing and Keqin Feng},
  journal= {arXiv preprint arXiv:2309.10990},
  year   = {2023}
}
R2 v1 2026-06-28T12:26:45.036Z