On the nonlinearity of the sequence of signs of Kloosterman sums

DOI10.1017/S0004972700038405zbMath1116.11063OpenAlexW2156563272MaRDI QIDQ5315950

Igor E. Shparlinski

Publication date: 12 September 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038405

zbMATH Keywords

cryptographyKloosterman sumspseudorandom sequence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (1)

On the distribution of Kloosterman sums

Cites Work

• The average sensitivity of bounded-depth circuits
• Nonlinearity, local and global avalanche characteristics of balanced Boolean functions
• Spectral domain analysis of correlation immune and resilient Boolean functions
• On the complexity of balanced Boolean functions
• Highly nonlinear mappings
• Cryptographic applications of analytic number theory. Complexity lower bounds and pseudo\-randomness
• Covering sequences of Boolean functions and their cryptographic significance
• Connections among nonlinearity, avalanche and correlation immunity
• Constant depth circuits, Fourier transform, and learnability
• On the Degree, Nonlinearity, Algebraic Thickness, and Nonnormality of Boolean Functions, With Developments on Symmetric Functions

This page was built for publication: On the nonlinearity of the sequence of signs of Kloosterman sums