Yakov Sapozhnikov

most citedAlmost perfect nonlinear power functions with exponents expressed as fractions

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

cs.IT2023★ 1 cited

Almost perfect nonlinear power functions with exponents expressed as fractions

Daniel J. Katz, Kathleen R. O'Connor, Kyle Pacheco +1

Let $F$ be a finite field, let $f$ be a function from $F$ to $F$ , and let $a$ be a nonzero element of $F$ . The discrete derivative of $f$ in direction $a$ is $Δ_{a} f : F \to F$ …

math.NT2016

The $p$ -Adic Valuations of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Sangman Lee +1

We investigate the $p$ -adic valuation of Weil sums of the form $W_{F, d} (a) = \sum_{x \in F} ψ (x^{d} - a x)$ , where $F$ is a finite field of characteristic $p$ , $ψ$ is the canonical addi…

math.CO2016

Book crossing numbers of the complete graph and small local convex crossing numbers

Bernardo M. Ábrego, Julia Dandurand, Silvia Fernández-Merchant +2

A $k$ -page book drawing of a graph $G$ is a drawing of $G$ on $k$ halfplanes with common boundary $l$ , a line, where the vertices are on $l$ and the edges cannot cross…

Almost perfect nonlinear power functions with exponents expressed as fractions

The p-Adic Valuations of Weil Sums of Binomials

Book crossing numbers of the complete graph and small local convex crossing numbers

The $p$ -Adic Valuations of Weil Sums of Binomials