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 $2^{\min(n_1,n_2)}-1$.

翻译：本文确定了具有互质周期$2^{n_1}-1$和$2^{n_2}-1$（其中$\gcd(n_1,n_2)=1$）的二元$m$-序列的算术互相关。结果表明，此类二元$m$-序列的算术互相关绝对值不大于$2^{\min(n_1,n_2)}-1$。