A cryptographic hash function should dissipate patterns, such that highly related inputs are transformed into unrelated outputs. This property, known as diffusion, has been effectively measured on SHA-256 via the Strict Avalanche Criterion (SAC) throughout the 64 rounds of compression. Additionally, variants of SHA-256 with individual sub-functions removed have previously been tested. In this study, the previous work is expanded; all combinations of the seven SHA-256 sub-functions are tested for SAC, throughout the 64 rounds of compression. The threshold as to whether a variant passes the SAC is calculated with the Bonferroni Method, which results in a relaxed threshold as compared to previous measures. The SAC of each sub-function variant is compared with the SAC of variants with shared sub-functions. The sub-functions Σ1, Integer Addition, Choose, and Message Scheduler are found to consistently contribute to SAC at the earliest rounds, throughout all combinations.
Vaughn et al. (Wed,) studied this question.
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