Title :
Modifications of Patterson-Wiedemann functions for cryptographic applications
Author :
Maitra, Subhamoy ; Sarkar, Palash
Author_Institution :
Comput. & Stat. Service Center, Indian Stat. Inst., Calcutta, India
fDate :
1/1/2002 12:00:00 AM
Abstract :
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
Keywords :
Boolean functions; cryptography; Boolean functions; Patterson-Wiedemann Functions; S-boxes; balanced functions; balancedness; bent functions; cryptographic applications; cryptographic properties; high algebraic degree; high nonlinearity; propagation characteristics; strict avalanche criteria; Application software; Boolean functions; Circuit noise; Codes; Computer science; Cryptography; Information theory; Notice of Violation; Statistics;
Journal_Title :
Information Theory, IEEE Transactions on
