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

DOI10.1080/00207160.2011.587874zbMath1252.94066OpenAlexW2136555483MaRDI QIDQ2885539

Ruchi Gode, Sugata Gangopadhyay

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.587874

zbMATH Keywords

low-order approximationsBoolean functionsderivativesbent functionssecond-order nonlinearitycubic functions

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (06E30)

Related Items (3)

On the second-order nonlinearity of the hidden weighted bit function ⋮ The lower bounds on the second-order nonlinearity of three classes of Boolean functions ⋮ On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions

Cites Work

• On the lower bounds of the second order nonlinearities of some Boolean functions
• The lower bounds on the second order nonlinearity of three classes of Boolean functions with high nonlinearity
• An improved list decoding algorithm for the second order Reed-Muller codes and its applications
• Construction of bent functions from near-bent functions
• Third-order nonlinearities of a subclass of Kasami functions
• A new class of monomial bent functions
• Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
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