International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Paper: A New Statistical Testing for Symmetric Ciphers and Hash Functions

Authors:
Eric Filiol
Download:
URL: http://eprint.iacr.org/2002/099
Search ePrint
Search Google
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 M\"obius 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.
BibTeX
@misc{eprint-2002-11622,
  title={A New Statistical Testing for Symmetric Ciphers and Hash Functions},
  booktitle={IACR Eprint archive},
  keywords={secret-key cryptography / AES, DES, Block Ciphers, Boolean Functions, Hash Functions, Cryptanalysis, Stream Ciphers, Statistical Testing},
  url={http://eprint.iacr.org/2002/099},
  note={ efiliol@wanadoo.fr 11962 received 23 Jul 2002, last revised 1 Oct 2002},
  author={Eric Filiol},
  year=2002
}