Title
Towards the Gibbs Characterization of a Class of Quaternary Bent Functions
Abstract
Bent functions generalized to the alphabet Zq, the ring of integers modulo q, are interesting not just in the realm of multiple-valued functions, but have some applications in the binary environment. The case q = 4, i.e., quaternary bent functions, are of a particular interest due to a simple relationship to binary functions. We consider the possibilities for characterization of quaternary bent functions in terms of the Gibbs derivatives defined with respect to the Reed-Muller-Fourier (RMF) transform for q-valued functions. It is shown that quaternary bent functions can be split into classes of functions sharing the same values for their Gibbs derivatives.
Year
DOI
Venue
2017
10.1109/ISMVL.2017.39
2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
Bent functions,multiple-valued logic,quaternary functions,Gibbs drerivatives
Boolean function,Discrete mathematics,Modulo,Ring of integers,Bent function,Bent molecular geometry,Mathematics,Binary number,Alphabet
Conference
ISBN
Citations 
PageRank 
978-1-5090-5497-8
0
0.34
References 
Authors
7
4
Name
Order
Citations
PageRank
Radomir S. Stankovic118847.07
Milena Stanković2354.46
Jaakko Astola31515230.41
Claudio Moraga4612100.27