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Additive Differentials for ARX Mappings with ProbabilityExceeding 1/4
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Journal Article
Additive Differentials for ARX Mappings with ProbabilityExceeding 1/4
2024
Overview
We consider the additive differential probabilities of functions and , where and . The probabilities are used for the differential cryptanalysis of ARX ciphers that operate only with addition modulo , bitwise XOR ( ), and bit rotations ( ). A complete characterization of differentials whose probability exceeds is obtained. All possible values of their probabilities are for . We describe differentials with each of these probabilities and calculate the number of these values. We also calculate the number of all considered differentials. It is for and for , where . We compare differentials of both mappings under the given constraint.
Publisher
Springer Nature B.V
Subject
