Balanced \(2p\)-variable rotation symmetric Boolean functions with maximum algebraic immunity

DOI10.1016/J.AML.2011.06.004zbMath1231.65014OpenAlexW2293019415MaRDI QIDQ654256

Kanta Matsuura, Longjiang Qu, Shaojing Fu, Chao Li

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.004

zbMATH Keywords

Boolean functionrotation symmetrystream cipheralgebraic immunitypseudo-random number generation

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (8)

Balanced \(2p\)-variable rotation symmetric Boolean functions with optimal algebraic immunity ⋮ Results on Constructions of Rotation Symmetric Bent and Semi-bent Functions ⋮ Secondary constructions of RSBFs with good cryptographic properties ⋮ Balanced \(2p\)-variable rotation symmetric Boolean functions with optimal algebraic immunity, good nonlinearity, and good algebraic degree ⋮ Construction and count of 1-resilient rotation symmetric Boolean functions ⋮ Four decades of research on bent functions ⋮ A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity ⋮ Several classes of even-variable 1-resilient rotation symmetric Boolean functions with high algebraic degree and nonlinearity

Cites Work

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• Further properties of several classes of Boolean functions with optimum algebraic immunity
• Basic theory in construction of Boolean functions with maximum possible annihilator immunity
• Rotation Symmetric Boolean Functions –; Count and Cryptographic Properties
• Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
• Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
• Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity
• Advances in Cryptology - EUROCRYPT 2004
• Progress in Cryptology - INDOCRYPT 2004
• Fast Software Encryption

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