A Lower Bound of the Second–order Nonlinearities of Boolean Bent Functions

No abstract is available for this paper.

• Publication year

  2011

• Venue

  Fundamenta Informaticae

• Publication date

  2011-08-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.3233/FI-2011-570
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

  2011cited by this paper
• The lower bound on the second-order nonlinearity of a class of Boolean functions with high nonlinearity

  2010cited by this paper
• The Lower Bounds on the Second Order Nonlinearity of Cubic Boolean Functions

  2010influential reference
• Third-order nonlinearities of a subclass of Kasami functions

  2010cited by this paper
• On the nonlinearity profile of the Dillon function

  2009cited by this paper
• The lower bounds on the second order nonlinearity of three classes of Boolean functions with high nonlinearity

  2009cited by this paper
• On second order nonlinearities of cubic monomial Boolean functions

  2009influential reference
• On the lower bounds of the second order nonlinearities of some Boolean functions

  2009cited by this paper
• Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications

  2008influential reference
• An improved list decoding algorithm for the second order Reed–Muller codes and its applications

  2008influential reference
• Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes

  2007cited by this paper
• A new class of monomial bent functions

  2006cited by this paper
• Construction of bent functions via Niho power functions

  2006cited by this paper
• BENT FUNCTIONS

  2006cited by this paper
• List decoding of Reed-Muller codes up to the Johnson bound with almost linear complexity

  2006cited by this paper
• Bilinear Algebra: An Introduction to the Algebraic Theory of Quadratic Forms

  1997cited by this paper
• Non-Linear Approximations in Linear Cryptanalysis

  1996cited by this paper
• Introduction to finite fields and their applications: List of Symbols

  1986cited by this paper
• The theory of error-correcting codes☆

  1980cited by this paper
• The Theory of Error-Correcting Codes

  1977cited by this paper

• On higher order nonlinearities of Boolean functions

  2023cites this paper
• On the higher-order nonlinearity of a new class of biquadratic Maiorana–McFarland type bent functions

  2023cites this paper
• On the higher-order nonlinearity of a Boolean bent function class (Constructed via Niho power functions)

  2022cites this paper
• The second-order nonlinearity of a class of Boolean functions

  2016cites this paper
• On the second-order nonlinearity of the hidden weighted bit function

  2016cites this paper
• Higher Order Nonlinearity of Niho Functions

  2015cites this paper
• Higher Order-Nonlinearities on Two Classes of Boolean Functions

  2015cites this paper
• Cryptographic Generalizations of Bent Functions

  2015cites this paper
• On second-order nonlinearity and maximum algebraic immunity of some bent functions in $\mathcal{PS}^{+}$

  2014influential citation
• On the second-order nonlinearities of some bent functions

  2013cites this paper
• Higher-order nonlinearity of Kasami functions

  2012cites this paper
• On second-order nonlinearity and maximum algebraic immunity of some bent functions in PS+

  2012influential citation