Highly nonlinear balanced boolean functions with good local and global avalanche characteristics
Information Processing Letters
A Larger Class of Cryptographic Boolean Functions via a Study of the Maiorana-McFarland Construction
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Evolving Boolean Functions Satisfying Multiple Criteria
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
Journal of Complexity - Special issue on coding and cryptography
Concatenating Indicators of Flats for Designing Cryptographic Functions
Designs, Codes and Cryptography
Idempotents in the neighbourhood of Patterson-Wiedemann functions having Walsh spectra zeros
Designs, Codes and Cryptography
New constructions for resilient and highly nonlinear boolean functions
ACISP'03 Proceedings of the 8th Australasian conference on Information security and privacy
Propagation characteristics of x→ x-1 and Kloosterman sums
Finite Fields and Their Applications
Equivalence classes for cubic rotation symmetric functions
Cryptography and Communications
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Three basic properties of Boolean functions to be useful for cryptographic purposes are balancedness, high algebraic degree, and high nonlinearity. In addition, strict avalanche criteria and propagation characteristics are required for design of S-boxes. We introduce methods to modify the Patterson-Wiedemann (19983, 1990) and bent functions to achieve the above cryptographic properties. In the process, we are able to answer some open questions about Boolean functions