Paper 2002/099 Original: eprint.iacr.org/2002/099 ↗
A New Statistical Testing for Symmetric Ciphers and Hash Functions
Abstract
This paper presents a new, powerful statistical testing of symmetric ciphers and hash functions which allowed us to detect biases in both of these systems where previously known tests failed. We first give a complete characterization of the Algebraic Normal Form (ANF) of random Boolean functions by means of the Möbius transform. Then we built a new testing based on the comparison between the structure of the different Boolean functions Algebraic Normal Forms characterizing symmetric ciphers and hash functions and those of purely random Boolean functions. Detailed testing results on several cryptosystems are presented. As a main result we show that AES, DES Snow and Lili-128 fail all or part of the tests and thus present strong biases.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2002-10-02: last updated
- 2002-07-24: published
- Short URL
- https://ia.cr/2002/099
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2002/099,
author = {Eric Filiol},
title = {A New Statistical Testing for Symmetric Ciphers and Hash Functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/099},
year = {2002},
url = {https://eprint.iacr.org/2002/099}
}