Concatenations of the hidden weighted bit function and their cryptographic properties

DOI10.3934/amc.2014.8.153zbMath1300.94099OpenAlexW2053453628MaRDI QIDQ476337

Qichun Wang, Pantelimon Stănică, Chik How Tan

Publication date: 28 November 2014

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2014.8.153

zbMATH Keywords

nonlinearityalgebraic immunityhidden weighted bit functionstrict avalanche criterionBDD-based attack

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (2)

On the second-order nonlinearity of the hidden weighted bit function ⋮ On the annihilators of Boolean polynomials

Cites Work

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• Cryptographic properties of the hidden weighted bit function
• A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity
• Basic theory in construction of Boolean functions with maximum possible annihilator immunity
• Fast correlation attacks on certain stream ciphers
• On ``bent functions
• Balanced Boolean functions with optimum algebraic degree, optimum algebraic immunity and very high nonlinearity
• A new method to construct Boolean functions with good cryptographic properties
• Highly Nonlinear Boolean Functions With Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks
• On the complexity of VLSI implementations and graph representations of Boolean functions with application to integer multiplication
• Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
• An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity
• On the Construction of Boolean Functions With Optimal Algebraic Immunity
• Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
• More Balanced Boolean Functions With Optimal Algebraic Immunity and Good Nonlinearity and Resistance to Fast Algebraic Attacks
• On the Resistance of Boolean Functions Against Algebraic Attacks Using Univariate Polynomial Representation
• Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials
• Advances in Cryptology - EUROCRYPT 2004
• Advances in Cryptology – CRYPTO 2004
• An Infinite Class of Balanced Vectorial Boolean Functions with Optimum Algebraic Immunity and Good Nonlinearity
• Exact relation between nonlinearity and algebraic immunity
• Advances in Cryptology - CRYPTO 2003
• Construction and Analysis of Boolean Functions of 2t+1 Variables with Maximum Algebraic Immunity
• Fast Software Encryption
• On the Higher Order Nonlinearities of Algebraic Immune Functions

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