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Investigations of c-Differential Uniformity of Permutations with Carlitz Rank 3
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
The -differential uniformity is recently proposed to reflect resistance against some variants of differential attack. Finding functions with low -differential uniformity is a…
On the Boomerang Uniformity of Permutations of Low Carlitz Rank
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
Finding permutation polynomials with low differential and boomerang uniformityis an important topic in S-box designs of many block ciphers. For example, AES chooses the inverse fun…
Partially APN Boolean functions and classes of functions that are not APN infinitely often
Lilya Budaghyan, Nikolay S. Kaleyski, Soonhak Kwon +2
In this paper we define a notion of partial APNness and find various characterizations and constructions of classes of functions satisfying this condition. We connect this notion t…