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The authors study signed bitwise differences and modular differences. They find a way to reduce signed bitwise differences that can be transformed into same modular differences. In this way, it needs arithmetic difference. They 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, they design a construction with ways they find. Given modular differences, some signed bitwise difference is uniquely determined.
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