Improvement on bit diffusion analysis of $\pi$-Cipher

Fatih Sulak, Beyza Bozdemir, Betül A. Özdemir, Neşe Koçak, Onur Koçak

Abstract


$\pi$-Cipher, designed by Gligoroski et al. [17], is a second round
candidate of the CAESAR competition. The designers analyzed the bit
diffusion of the cipher by examining the * operation and 1 round $\pi$-
function [17]. We improve this analysis by applying Strict Avalanche Criterion
(SAC) test to * operation and reduced round versions of $\pi$-function
for $\pi$16-Cipher. We obtain that * operation fails SAC test whereas all
versions of $\pi$-function for $\pi$16-Cipher pass the test.

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