International Association
for Cryptologic Research

We study signed bitwise differences and modular differences. We find a way to reduce signed bitwise differences that can be transformed into same modular differences. In this way, it needs arithmetic difference. We establish one-one relationship between modular differences and arithmetic difference. And establish one-one relationship between signed bitwise differences and arithmetic difference. Then it will reduce signed bitwise differences that can be transformed into same arithmetic difference. In this paper, we design a construction with ways we find. Given modular differences, some signed bitwise difference is uniquely determined.