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Publications (4)

cs.CR2024

On additive differential probabilities of the composition of bitwise exclusive-or and a bit rotation

Nikolay Kolomeec, Ivan Sutormin, Denis Bykov +2

Properties of the additive differential probability $adp^{XR}$ of the composition of bitwise XOR and a bit rotation are investigated, where the differences are ex…

cs.LG2026

Diffusion-Pretrained Dense and Contextual Embeddings

Sedigheh Eslami, Maksim Gaiduk, Markus Krimmel +3

In this report, we introduce pplx-embed, a family of multilingual embedding models that employ multi-stage contrastive learning on a diffusion-pretrained language model backbone fo…

cs.CR2025

On the Maiorana-McFarland Class Extensions

Nikolay Kolomeec, Denis Bykov

The closure $M_{m}^{#}$ and the extension $M_{m}$ of the Maiorana--McFarland class $M_{m}$ in $m = 2 n$ variables relative to the extended-a…

cs.CR2022

On the image of an affine subspace under the inverse function within a finite field

Nikolay Kolomeec, Denis Bykov

We consider the function $x^{- 1}$ that inverses a finite field element $x \in F_{p^{n}}$ ( $p$ is prime, $0^{- 1} = 0$ ) and affine $F_{p}$ -subspaces of $\mathbb{F}_{p…