Geodesic
On probability of one-bit difference propagation through modulo addition and subtraction
Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 53-60

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In this paper, a proof is given for the fact that the probability of one-bit difference propagation through modulo addition and subtraction is equal to 1 if the bit is the most significant one, and 1/2 otherwise. This theoretical fact is verified too with the experimental data.
Keywords: block cipher, differential cryptanalysis, difference propagation. 
@article{PDM_2012_4_a3,
     author = {A. I. Pestunov},
     title = {On probability of one-bit difference propagation through modulo addition and subtraction},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {53--60},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_4_a3/}
}
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A. I. Pestunov. On probability of one-bit difference propagation through modulo addition and subtraction. Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 53-60. http://geodesic.mathdoc.fr/item/PDM_2012_4_a3/