Paper 2011/151 Original: eprint.iacr.org/2011/151 ↗
Direct Exponent and Scalar Multiplication Classes of an MDS Matrix
Abstract
An MDS matrix is an important building block adopted by different algorithms that provides diffusion and therefore, has been an area of active research. In this paper, we present an idea of direct exponent and direct square of a matrix. We prove that direct square of an MDS matrix results in an MDS matrix whereas direct exponent may not be an MDS matrix. We also delineate direct exponent class and scalar multiplication class of an MDS matrix and determine the number of elements in these classes. In the end, we discuss the standing of design properties of a cryptographic primitive by replacing MDS matrix by dynamic one.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2011-03-27: last updated
- 2011-03-27: published
- Short URL
- https://ia.cr/2011/151
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/151,
author = {G. Murtaza and N. Ikram},
title = {Direct Exponent and Scalar Multiplication Classes of an MDS Matrix},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/151},
year = {2011},
url = {https://eprint.iacr.org/2011/151}
}