Abstract | ||
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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 |
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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. Stankovic | 1 | 188 | 47.07 |
Milena Stanković | 2 | 35 | 4.46 |
Jaakko Astola | 3 | 1515 | 230.41 |
Claudio Moraga | 4 | 612 | 100.27 |