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Algebraic nonlinearity and its applications to cryptography

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/j.1538-7305.1949.tb00928.xopenalex-snapshot
Communication Theory of Secrecy Systems*
inferredcites →https://doi.org/10.1007/0-387-34799-2_31openalex-snapshot
The Strict Avalanche Criterion: Spectral Properties of Boolean Functions and an Extended Definition
inferredcites →https://doi.org/10.1007/3-540-39118-5_23openalex-snapshot
Linear Structures in Blockciphers
inferredcites →https://doi.org/10.1007/3-540-39568-7_29openalex-snapshot
Des has no Per Round Linear Factors
inferredcites →https://doi.org/10.1007/3-540-39799-x_16openalex-snapshot
Cryptanalysis of des with a Reduced Number of Rounds
inferredcites →https://doi.org/10.1007/3-540-39799-x_41openalex-snapshot
On the Design of S-Boxes
inferredcites →https://doi.org/10.1007/3-540-46416-6_31openalex-snapshot
Enumerating Nondegenerate Permutations
inferredcites →https://doi.org/10.1007/3-540-46416-6_32openalex-snapshot
Perfect nonlinear S-boxes
inferredcites →https://doi.org/10.1007/3-540-46877-3_14openalex-snapshot
Propagation Characteristics of Boolean Functions
inferredcites →https://doi.org/10.1007/3-540-46885-4_53openalex-snapshot
Nonlinearity Criteria for Cryptographic Functions
inferredcites →https://doi.org/10.1007/978-1-4615-9763-6openalex-snapshot
Enumerative Combinatorics
inferredcites →https://doi.org/10.1007/978-3-030-35199-1openalex-snapshot
Cryptography and Coding
inferredcites →https://doi.org/10.1007/978-3-642-82865-2openalex-snapshot
Analysis and Design of Stream Ciphers
inferredcites →https://doi.org/10.1007/bf00190799openalex-snapshot
Methods and instruments for designing S-boxes
inferredcites →https://doi.org/10.1007/bf00190802openalex-snapshot
Enumerating Boolean functions of cryptographic significance
inferredcites →https://doi.org/10.1007/bf00203967openalex-snapshot
The structured design of cryptographically good s-boxes
inferredcites →https://doi.org/10.1007/bf00630563openalex-snapshot
Differential cryptanalysis of DES-like cryptosystems
inferredcites →https://doi.org/10.1007/bf01578872openalex-snapshot
Contemporary cryptology—The science of information integrity
inferredcites →https://doi.org/10.1016/0097-3165(76)90024-8openalex-snapshot
On “bent” functions
inferredcites →https://doi.org/10.1016/0378-4754(79)90115-0openalex-snapshot
The complexity of computing
inferredcites →https://doi.org/10.1017/cbo9780511805967openalex-snapshot
Enumerative Combinatorics
inferredcites →https://doi.org/10.1049/ip-e.1988.0044openalex-snapshot
Towards effective nonlinear cryptosystem design
inferredcites →https://doi.org/10.1108/ir.1999.04926fae.001openalex-snapshot
Lecture Notes in Computer Science 1205
inferredcites →https://doi.org/10.1109/pgec.1964.263776openalex-snapshot
Average Values of Quantities Appearing in Boolean Function Minimization
inferredcites →https://doi.org/10.1109/tc.1979.1675242openalex-snapshot
Structured Design of Substitution-Permutation Encryption Networks
inferredcites →https://doi.org/10.1109/tit.1984.1056949openalex-snapshot
Correlation-immunity of nonlinear combining functions for cryptographic applications (Corresp.)
inferredcites →https://doi.org/10.1145/321281.321287openalex-snapshot
Statistical Complexity of Algorithms for Boolean Function Minimization

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s11128-020-02741-2openalex-snapshot
A quantum related-key attack based on the Bernstein–Vazirani algorithm
inferred← citeshttps://doi.org/10.1007/s11128-022-03752-xopenalex-snapshot
Improved BV-based quantum attack on block ciphers
inferred← citeshttps://doi.org/10.1007/s11767-998-0021-zopenalex-snapshot
Enumerating correlation-immune boolean functions of order one
inferred← citeshttps://doi.org/10.1007/s12095-015-0150-9openalex-snapshot
On various nonlinearity measures for boolean functions
inferred← citeshttps://doi.org/10.1016/b978-0-12-374890-4.00007-0openalex-snapshot
Avalanche and propagation criteria
inferred← citeshttps://doi.org/10.1016/b978-0-12-374890-4.00013-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/b978-0-12-811129-1.00003-1openalex-snapshot
Avalanche and Propagation Criteria
inferred← citeshttps://doi.org/10.1016/b978-0-12-811129-1.00016-xopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s0020-0190(96)00166-4openalex-snapshot
Comment on “bounds on the number of functions satisfying the strict avalanche criterion”
inferred← citeshttps://doi.org/10.1017/cbo9780511780448.011openalex-snapshot
Boolean Functions for Cryptography and Error-Correcting Codes
inferred← citeshttps://doi.org/10.1017/s0960129516000013openalex-snapshot
A quantum algorithm to approximate the linear structures of Boolean functions
inferred← citeshttps://doi.org/10.1109/cict56698.2022.9997844openalex-snapshot
SAILFISH-I: A Lightweight Block Cipher for Cloud-Enabled Fog Devices
inferred← citeshttps://doi.org/10.1109/ic3i.2016.7917960openalex-snapshot
Walsh Hadamard transform and cryptographic properties in stream cipher
inferred← citeshttps://doi.org/10.1140/epjqt/s40507-024-00295-1openalex-snapshot
Quantum differential cryptanalysis based on Bernstein-Vazirani algorithm
inferred← citeshttps://doi.org/10.20868/upm.thesis.39054openalex-snapshot
Vector Boolean Functions: applications in symmetric cryptography
inferred← citeshttps://doi.org/10.48550/arxiv.1712.06997openalex-snapshot
Quantum impossible differential and truncated differential cryptanalysis
inferred← citeshttps://doi.org/10.48550/arxiv.1808.03266openalex-snapshot
A quantum related-key attack based on Bernstein-Vazirani algorithm
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