Arithmetic crosscorrelation of binary $m$-sequences with coprime periods (2309.10990v1)

Published 20 Sep 2023 in cs.IT, math.IT, and math.NT

Abstract: The arithmetic crosscorrelation of binary $m$-sequences with coprime periods $2^{n_1}-1$ and $2^{n_2}-1$\ ($\gcd(n_1,n_2)=1$) is determined. The result shows that the absolute value of arithmetic crosscorrelation of such binary $m$-sequences is not greater than $2^{{\min(n_1,n_2)}-1$.}