Improved Objective Functions to Search for 8 × 8 Bijective S-Boxes With Theoretical Resistance Against Power Attacks Under Hamming Leakage Models

Publications

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Improved Objective Functions to Search for 8 × 8 Bijective S-Boxes With Theoretical Resistance Against Power Attacks Under Hamming Leakage Models

IEEE Access. 2022. Vol. 10. P. 11886–11891.

Martínez-Díaz I., Freyre-Echevarría A., Rojas O., Sosa Gómez G., Legón-Pérez C. M.

Language: English

DOI

Local Search Trajectories over S-box space

Martínez-Díaz I., Legón-Pérez C. M., Rojas O. et al., Journal of Information Security and Applications 2022 Vol. 69 Article 103272

Added: September 18, 2026

Search-Space Reduction for S-Boxes Resilient to Power Attacks

Legón-Pérez C. M., Sánchez-Muiña R., Miyares-Moreno D. et al., Applied Sciences (Switzerland) 2021 Vol. 11 No. 11 Article 4815

Added: September 18, 2026

Probabilistic Evaluation of the Exploration–Exploitation Balance during the Search, Using the Swap Operator, for Nonlinear Bijective S-Boxes, Resistant to Power Attacks

Legón-Pérez C. M., Menéndez-Verdecía J. A., Martínez-Díaz I. et al., Information (Switzerland) 2021 Vol. 12 No. 12 Article 509

Added: September 18, 2026

Evolving Nonlinear S-Boxes With Improved Theoretical Resilience to Power Attacks

Freyre-Echevarría A., Martínez-Díaz I., Legón-Pérez C. M. et al., IEEE Access 2020 Vol. 8 P. 202728–202737

Added: September 18, 2026

Generation of Affine-Shifted S-Boxes with Constant Confusion Coefficient Variance and Application in the Partitioning of the S-Box Space

Martínez-Díaz I., Legón-Pérez C. M., Sosa Gómez G., Cryptography 2025 Vol. 9 No. 2 Article 45

Added: September 18, 2026

A New Interpolation-Based Polynomial Algorithm for Estimating Lateness in Single Machine Scheduling Problem

Lazarev A. A., Lemtyuzhnikova D. V., Tyunyatkin A. A. et al., IFAC-PapersOnLine 2022 Vol. 55 No. 10 P. 2881–2886

This research extends the interpolation approach to approximating the objective function value for the minimization maximum lateness problem. The interpolation approach is defined using a special objective function Lmax(α), which is proven to be continuous and depends only on α transform coefficient. Such a function is proven to be monotonically increasing, and this property is ...

Added: December 5, 2022

On the impossibility of an invariant attack on Kuznyechik

Fomin D., Journal of Computer Virology and Hacking Techniques 2022 Vol. 18 P. 61–67

Currently numerous cryptographic systems are based on SP-networks. These primitives are supposed to be secure but recent investigations show that some attacks are possible. The aim of this work is to study how secure the Russian standardized block cipher Kuznyechik over invariant attacks. We study the already known decompositions of its permutation and show the ...

Added: November 29, 2021

О способе построения дифференциально 2δ-равномерных подстановок на F_{2^{2m}}

Fomin D., Прикладная дискретная математика. Приложение 2021 № 14 С. 51–55

The paper studies new ways of con- structing differentially 2δ-uniform bijections over F_{2^{2m}} , m≥3, that are based on TU-construction. Some well known results on the constructing differentially 4-uniform permutations over F_{2^{2m}} are generalized in this work. The core idea is to use TU-construction and differentially δ-uniform bijections to construct 2^t · δ-uniform permutations. A generalized method for constructing 2m-bit differentially 4-uniform permutations ...

Added: September 22, 2021

Об одном представлении нелинейного преобразования алгоритма «Кузнечик» с помощью логических функций

Авраамова О. Д., Fomin D., Серов В. А. et al., Математические вопросы криптографии 2021 Vol. 12 No. 2 P. 21–38

In this paper we consider a bit-sliced implementation of the non-linear transformation shared by GOST R 34.12-2015 “Kuznyechik” block cipher and GOST R 34.11-2012 “Streebog” hash function. We combine analytical and computer methods to get a 226 Boolean operations representation. ...

Added: July 26, 2021

Stability Analysis in Discrete Optimization Involving Generalized Addition Operations

Chistyakov V., Pardalos P. M., Journal of Optimization Theory and Applications 2015 Vol. 167 No. 2 P. 585–616

This paper addresses the tolerance approach to the sensitivity analysis of optimal solutions to a nonlinear optimization problem of the form: minimize the total cost of a trajectory over all admissible discrete trajectories, where the total cost is expressed through individual costs by means of a generalized addition operation on the set of all non-negative ...

Added: February 17, 2015