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This paper is meant to be a contribution to the study of multiple-valued bent functions. Special care has been given to the introduction of a sound formalism to allow giving formal proof of some properties and to characterize bent functions. A class of bent functions, called strict bent is introduced and its characterization is given. It is shown that there are 486 two place ternary strict bent functions.
This paper considers the impact of address arithmetic in the Cooley-Tukey and the constant geometry fast algorithms for the Vilenkin-Chrestenson transform on their implementation for the graphics processing unit (GPU). We consider issues such as using different transform radices and analyze the number of GPU instructions and register usage in the OpenCL implementations of the considered algorithms...
The paper studies binary and ternary functions that have decision diagrams of identical shape in the original and spectral (Fourier) domain. These functions are called Fourier-sweet functions. This class of functions involves certain classes of bent functions and quadratic forms in both binary and ternary cases. Bent functions and quadratic forms have applications in cryptography and error-correcting...
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