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Nonlinearity measures of random Boolean functions

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Publication:301648
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DOI10.1007/s12095-015-0164-3zbMath1386.94121arXiv1308.3112OpenAlexW2136871609MaRDI QIDQ301648

Kai-Uwe Schmidt

Publication date: 1 July 2016

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3112


zbMATH Keywords

convergencenonlinearityBoolean functionReed-muller code


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Convergence of probability measures (60B10)


Related Items

Error-correction capability of Reed-Muller codes ⋮ On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions ⋮ \(r\)-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm



Cites Work

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  • Asymptotic nonlinearity of Boolean functions
  • Non-Linear Approximations in Linear Cryptanalysis
  • Distribution of Boolean Functions According to the Second-Order Nonlinearity
  • Sur la non-linéarité des fonctions booléennes
  • On the Distribution of Boolean Function Nonlinearity
  • Weight Distribution and List-Decoding Size of Reed–Muller Codes
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