Another View of the Division Property

DOI10.1007/978-3-662-53018-4_24zbMath1378.94026OpenAlexW2479327246MaRDI QIDQ2835605

Christina Boura, Anne Canteaut

Publication date: 30 November 2016

Published in: Advances in Cryptology – CRYPTO 2016 (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01401016/file/crypto.pdf

zbMATH Keywords

S-boxesdivision propertyintegral attacksPresent

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (15)

Improved Integral Attack on Generalized Feistel Cipher ⋮ Integral attacks on Pyjamask-96 and round-reduced Pyjamask-128 ⋮ Pholkos -- efficient large-state tweakable block ciphers from the AES round function ⋮ Applying MILP Method to Searching Integral Distinguishers Based on Division Property for 6 Lightweight Block Ciphers ⋮ On the field-based division property: applications to MiMC, Feistel MiMC and GMiMC ⋮ Convexity of division property transitions: theory, algorithms and compact models ⋮ Strong and tight security guarantees against integral distinguishers ⋮ Massive superpoly recovery with nested monomial predictions ⋮ Mathematical aspects of division property ⋮ Finding three-subset division property for ciphers with complex linear layers ⋮ An algebraic formulation of the division property: revisiting degree evaluations, cube attacks, and key-independent sums ⋮ Lower bounds on the degree of block ciphers ⋮ On degree-\(d\) zero-sum sets of full rank ⋮ Linearly equivalent s-boxes and the division property ⋮ Modeling for three-subset division property without unknown subset

Uses Software

• PRESENT
• PRINCE
• Square

Cites Work

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• Optimized Interpolation Attacks on LowMC
• Structural Evaluation by Generalized Integral Property
• On the Influence of the Algebraic Degree of $F^{-1}$ on the Algebraic Degree of $G \circ F$
• Breaking Grain-128 with Dynamic Cube Attacks
• Higher-Order Differential Properties of Keccak and Luffa
• Cube Testers and Key Recovery Attacks on Reduced-Round MD6 and Trivium
• Integral Cryptanalysis on Full MISTY1
• PRESENT: An Ultra-Lightweight Block Cipher
• Cube Attacks on Tweakable Black Box Polynomials
• On cryptographic properties of the cosets of R(1, m)
• The block cipher Square
• Higher Order Derivatives and Differential Cryptanalysis
• PRINCE – A Low-Latency Block Cipher for Pervasive Computing Applications
• On the Classification of 4 Bit S-Boxes

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