Paper 2012/283 Original: eprint.iacr.org/2012/283 ↗
Some properties of q-ary functions based on spectral analysis
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)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2012-05-29: last updated
- 2012-05-29: published
- Short URL
- https://ia.cr/2012/283
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2012/283,
author = {Deep Singh and Maheshanand Bhaintwal},
title = {Some properties of q-ary functions based on spectral analysis},
howpublished = {Cryptology {ePrint} Archive, Paper 2012/283},
year = {2012},
url = {https://eprint.iacr.org/2012/283}
}