On \((2^{m}+1)\)-variable symmetric Boolean functions with submaximum algebraic immunity \(2^{m - 1}\)

DOI10.1007/s11425-008-0131-yzbMath1193.94085OpenAlexW2006283638MaRDI QIDQ1042839

Feng Liu, Qunying Liao, Ke Qin Feng

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0131-y

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Cryptography (94A60) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (3)

On designated-weight Boolean functions with highest algebraic immunity ⋮ On the construction of multi-output Boolean functions with optimal algebraic immunity ⋮ An algorithm for the spectral immunity of binary sequence with period 2 n

Cites Work

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• Basic theory in construction of Boolean functions with maximum possible annihilator immunity
• Symmetric Boolean Functions
• Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
• A Note on Symmetric Boolean Functions With Maximum Algebraic Immunity in Odd Number of Variables
• Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
• Advances in Cryptology - EUROCRYPT 2004
• Advances in Cryptology - CRYPTO 2003
• On the Algebraic Immunity of Symmetric Boolean Functions
• Progress in Cryptology - INDOCRYPT 2004
• Progress in Cryptology - INDOCRYPT 2004
• Fast Software Encryption

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