Paper Info
Title
Generation of Ternary Bent Functions by Spectral Invariant Operations in the Generalized Reed-Muller Domain
Abstract
Spectral invariant operations for ternary functions are defined as operations that preserve the absolute values of Vilenkin-Chrestenson spectral coefficients. Ternary bent functions are characterized as functions with a flat Vilenkin-Chrestenson spectrum, i.e., functions all whose spectral coefficients have the same absolute value. It follows that any function obtained by the application of one or more spectral invariant operations to a bent function will also be a bent function. This property is used in the present study to generate ternary bent functions efficiently in terms of space and time. For a software implementation of spectral invariant operations it is convenient to specify functions to be processed by the generalized Reed-Muller expressions. In this case, each invariant operation over a function <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">f</i> corresponds to adding one or more terms to the generalized Reed-Muller expression for <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">f</i> .
Year
DOI
Venue
2018
10.1109/ISMVL.2018.00048
2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
Multiple valued functions,Spectral techniques,Vilenkin Chrestenson transform,spectral invariant operations
Boolean function,Discrete mathematics,Expression (mathematics),Computer science,Absolute value,Spacetime,Bent molecular geometry,Pure mathematics,Bent function,Ternary operation,Invariant (mathematics)
Conference
ISSN
ISBN
Citations 
0195-623X
978-1-5386-4465-2
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Milena Stankovic1299.22
Claudio Moraga2612100.27
Radomir S. Stankovic318847.07