10 papers · 1 filter
On APN Exponents and the Differential and Boomerang Properties of Binomials in Characteristic 3
Namhun Koo, Soonhak Kwon, Minwoo Ko +1
Recent studies on binomials of the form over have shown that these functions can exhibit very low boomerang uniformity. In this paper, w…
Locally-APN Binomials with Low Boomerang Uniformity in Odd Characteristic
Namhun Koo, Soonhak Kwon, Minwoo Ko +1
Recently, several studies have shown that when , for certain choices of , the function defined over $\Fq$ is locally-APN and h…
On Differential and Boomerang Properties of a Class of Binomials over Finite Fields of Odd Characteristic
Namhun Koo, Soonhak Kwon
In this paper, we investigate the differential and boomerang properties of a class of binomial over the finite field , where $r = \f…
The second-order zero differential uniformity of the swapped inverse functions over finite fields
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
The Feistel Boomerang Connectivity Table (FBCT) was proposed as the feistel counterpart of the Boomerang Connectivity Table. The entries of the FBCT are actually related to the sec…
On the Functions Which are CCZ-equivalent but not EA-equivalent to Quadratic Functions over
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
For a given function from to itself, determining whether there exists a function which is CCZ-equivalent but EA-inequivalent to is a very important and in…
cc-differential uniformity, (almost) perfect cc-nonlinearity, and equivalences
Nhan-Phu Chung, Jaeseong Jeong, Namhun Koo +1
In this article, we introduce new notions -differential uniformity, -differential spectrum, PccN functions and APccN functions, and investigate their properties. We also in…
On non-monomial APcN permutations over finite fields of even characteristic
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
Recently, a new concept called the -differential uniformity was proposed by Ellingsen et al. (2020), which allows to simplify some types of differential cryptanalysis. Since the…
Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic
Jaeseong Jeong, Namhun Koo, Soonhak Kwon
The study of Boolean functions with low -differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many resu…
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…