Statistical Tests for Key Recovery Using Multidimensional Extension of Matsui's Algorithm 1

Reference:

Miia Hermelin, Joo Yeon Cho, and Kaisa Nyberg. Statistical Tests for Key Recovery Using Multidimensional Extension of Matsui's Algorithm 1. In Helena Handschuh, Stefan Lucks, Bart Preneel, and Phillip Rogaway, editors, Symmetric Cryptography, number 09031 in Dagstuhl Seminar Proceedings, Dagstuhl, Germany, 2009. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany.

Abstract:

In one dimension, there is essentially just one binomially distributed statistic, bias or correlation, for testing correctness of a key bit in Matsui's Algorithm 1. In multiple dimensions, different statistical approaches for finding the correct key candidate are available. The purpose of this work is to investigate the efficiency of such test in theory and practice, and propose a new key class ranking statistic using distributions based on multidimensional linear approximation and generalisation of the ranking statistic presented by Selc cuk.

Keywords:

Block cipher, key recovery attacks, key ranking, linear cryptanalysis, multidimensional approximation

Suggested BibTeX entry:

@inproceedings{her09dag,
    address = {Dagstuhl, Germany},
    author = {Miia Hermelin and Joo Yeon Cho and Kaisa Nyberg},
    booktitle = {Symmetric Cryptography},
    editor = {Helena Handschuh and Stefan Lucks and Bart Preneel and Phillip Rogaway},
    number = {09031},
    publisher = {Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
    series = {Dagstuhl Seminar Proceedings},
    title = {Statistical {T}ests for {K}ey {R}ecovery {U}sing {M}ultidimensional {E}xtension of {M}atsui's {A}lgorithm 1},
    year = {2009},
}