Soonhak Kwon

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cs.IT2026

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 $F_{r} (x) = x^{r} (1 + I ¨ (x))$ over $F_{p^{n}}$ have shown that these functions can exhibit very low boomerang uniformity. In this paper,…

cs.IT2026

Locally-APN Binomials with Low Boomerang Uniformity in Odd Characteristic

Namhun Koo, Soonhak Kwon, Minwoo Ko +1

Recently, several studies have shown that when $q \equiv 3 (mod 4)$ , for certain choices of $r$ , the function $F_{r} (x) = x^{r} + x^{r + \frac{q - 1}{2}}$ defined over $\Fq$ is locally-APN and h…

cs.IT2026

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 $F_{r, u} (x) = x^{r} (1 + u I ¨ (x))$ over the finite field $F_{p^{n}}$ , where $r = \…

cs.IT2024

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…