On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations
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Publication:3600455
DOI10.1007/978-3-540-85912-3_31zbMath1206.94059OpenAlexW1549565053MaRDI QIDQ3600455
Publication date: 10 February 2009
Published in: Sequences and Their Applications - SETA 2008 (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-85912-3_31
covering radiuscryptographyblock cipherReed-Muller codeBoolean functionstream cipherS-boxhigher-order nonlinearity
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60)
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Cites Work
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- Basic theory in construction of Boolean functions with maximum possible annihilator immunity
- Nonlinearities of S-boxes
- List decoding of the first-order binary Reed-Muller codes
- Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums
- An improved list decoding algorithm for the second order Reed-Muller codes and its applications
- An upper bound for the extended Kloosterman sums over Galois rings
- Non-Linear Approximations in Linear Cryptanalysis
- Fast Low Order Approximation of Cryptographic Functions
- The weights of the orthogonals of the extended quadratic binary Goppa codes
- Algebraic immunity for cryptographically significant Boolean functions: analysis and construction
- A New Upper Bound on the Block Error Probability After Decoding Over the Erasure Channel
- Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes
- Constructing Single- and Multi-output Boolean Functions with Maximal Algebraic Immunity
- Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
- Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
- Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
- List Decoding of Biorthogonal Codes and the Hadamard Transform With Linear Complexity
- A Method of Construction of Balanced Functions with Optimum Algebraic Immunity
- Communication Theory of Secrecy Systems*
- On the weight enumeration of weights less than 2.5d of Reed—Muller codes
- Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
- Low order approximation of cipher functions
- Advances in Cryptology - EUROCRYPT 2004
- On the Algebraic Immunity of Symmetric Boolean Functions
- How Far Can We Go Beyond Linear Cryptanalysis?
- Fast Software Encryption
- On the weight structure of Reed-Muller codes
- Fast Software Encryption
- On the Higher Order Nonlinearities of Algebraic Immune Functions
- On Exact Algebraic [Non-Immunity of S-Boxes Based on Power Functions]
- Bounds for exponential sums
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