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Paper 2012/283
Some properties of q-ary functions based on spectral analysis
Deep Singh and Maheshanand Bhaintwal
Abstract
In this paper, we generalize some existing results on Boolean functions to the $q$-ary functions defined over $\BBZ_q$, where $q\geq 2$ is an integer, and obtain some new characterization of $q$-ary functions based on spectral analysis. We provide a relationship between Walsh-Hadamard spectra of two $p$-ary functions $f$ and $g$ (for $p$ a prime) and their derivative $D_{f, g}$. We provide a relationship between the Walsh-Hadamard spectra and the decompositions of any two $p$-ary functions. Further, we investigate a relationship between the Walsh-Hadamard spectra and the autocorrelation of any two $q$-ary functions.
Metadata
- Available format(s)
- Category
- Secret-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Boolean functions$q$-ary functionsWalsh-Hadamard spectrumCrosscorrelation
- Contact author(s)
- deepsinghspn @ gmail com
- History
- 2012-05-29: received
- Short URL
- https://ia.cr/2012/283
- License
-
CC BY