Concatenations of the Hidden Weighted Bit Function and their Cryptographic Properties
Tan, Chick How
MetadataShow full item record
To resis Binary Decision Diagrams (BDD) based attacks, a Boolean function should have a high BDD size. The hidden weighted bit function (HWBF), introduced by Bryant in 1991, seems to be the simplest function with exponential BDD ssize. In Wang, et al. investigated the cryptographic properties of the HWBF and found what it is a very good candidate for being used in real ciphers. In this paper, we modify the HWBF and construct two classes of functions with very good cryptographic properties (better than the HWBF). The new functions are balanced, with almost optimum algebraic degree and satisfy the strict avalanche criterion. Their nonlinearity is higher than that of the HWBF. We investigate their algebraic immunity, BDD size and their resistance against fast algebraic attacks, which seem to be better than those of the HWBF too. The new functions are simple, can be implemented efficiently, have high BDD sizes and rather good cryptographic properties. Therefore, they might be excellent candidates for constructions of real-life ciphers.
The article of record as published may be located at http://dx.doi.org/10.3934/amc.2014.8.153
Showing items related by title, author, creator and subject.
Schafer, Neil Brendan. (Monterey, California: Naval Postgraduate School, 2009-09);Boolean bent functions have desirable cryptographic properties in that they have maximum nonlinearity, which hardens a cryptographic function against linear cryptanalysis attacks. Furthermore, bent functions are extremely ...
An analysis of bent function properties using the transeunt triangle and the SRC-6 reconfigurable computer Shafer, Jennifer L. (Monterey, California: Naval Postgraduate School, 2009-09);Linear attacks against cryptosystems can be defeated when combiner functions are composed of highly nonlinear Boolean functions. The highest nonlinearity Boolean functions, or bent functions, are not common- especially ...
Ulker, Birol (Monterey, Calif. Naval Postgraduate School, 2002-03);A logical function f is AND bi-decomposable if it can be written as f x1, x2)= h1 (x1) h2(x2), where x1 and x2 are disjoint. Such functions are important because they can be efficiently implemented. Also many benchmark ...