Mathematical aspects of division property (Q6165429)

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scientific article; zbMATH DE number 7720657

Language	Label	Description	Also known as
English	Mathematical aspects of division property	scientific article; zbMATH DE number 7720657

Statements

scholarly article

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Mathematical aspects of division property (English)

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Cryptography and Communications

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publication date

31 July 2023

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full work available at URL

https://ia.cr/2022/736

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zbMATH Keywords

symmetric cryptography

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Boolean functions

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algebraic degree

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integral cryptanalysis

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division property

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MaRDI profile type

MaRDI publication profile

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Cube Attacks on Tweakable Black Box Polynomials

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Structural Evaluation by Generalized Integral Property

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Integral Cryptanalysis on Full MISTY1

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Integral cryptanalysis on full MISTY1

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Bit-Based Division Property and Application to Simon Family

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Modeling for three-subset division property without unknown subset. Improved cube attacks against Trivium and Grain-128AEAD

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Modeling for three-subset division property without unknown subset

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Applying MILP Method to Searching Integral Distinguishers Based on Division Property for 6 Lightweight Block Ciphers

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Another View of the Division Property

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On the Influence of the Algebraic Degree of $F^{-1}$ on the Algebraic Degree of $G \circ F$

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Graph Indicators of Vectorial Functions and Bounds on the Algebraic Degree of Composite Functions

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Convexity of division property transitions: theory, algorithms and compact models

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An algebraic formulation of the division property: revisiting degree evaluations, cube attacks, and key-independent sums

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Boolean Functions for Cryptography and Coding Theory

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Lower bounds on the degree of block ciphers

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Linearly equivalent s-boxes and the division property

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Higher-Order Differential Properties of Keccak and Luffa

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Algebraic Insights into the Secret Feistel Network

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Handling Vectorial Functions by Means of Their Graph Indicators

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Higher Order Derivatives and Differential Cryptanalysis

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Strong and tight security guarantees against integral distinguishers

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Compact representation for division property

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Cube attacks on non-blackbox polynomials based on division property

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MILP-aided method of searching division property using three subsets and applications

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Automatic search of bit-based division property for ARX ciphers and word-based division property

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Automatical method for searching integrals of ARX block cipher with division property using three subsets

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Finding integral distinguishers with ease

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Automatic search for a variant of division property using three subsets

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Automatic search for bit-based division property

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On MILP-Based Automatic Search for Bit-Based Division Property for Ciphers with (Large) Linear Layers

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Identifiers

zbMATH Open document ID

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10.1007/s12095-022-00622-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6165429

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