A Direct Construction of Binary Even-length Z-complementary Pairs with Zero Correlation Zone Ratio of 6/7

Abstract

This letter provides a direct construction of binary even-length Z-complementary pairs. To date, the maximum zero correlation zone ratio of Type-I Z-complementary pairs has reached 6/7, but no direct construction of Z-complementary pairs can achieve the zero correlation zone ratio of 6/7. In this letter, based on Boolean function, we give a direct construction of binary even-length Z-complementary pairs with zero correlation zone ratio 6/7. The length of constructed Z-complementary pairs is 2^m+3 + 2^m+2 + 2^m+1 and the width of zero correlation zone is 2^m+3 + 2^m+2.