Multidimensional Linear Cryptanalysis of Feistel Ciphers

This paper presents new generic attacks on Feistel ciphers that incorporate the key addition at the input of the non-invertible round function only. This feature leads to a specific vulnerability that can be exploited using multidimensional linear cryptanalysis. More specifically, our approach invo...

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Bibliographic Details
Main Authors: Betül Aşkın Özdemir, Tim Beyne, Vincent Rijmen
Format: Article
Language:English
Published: Ruhr-Universität Bochum 2023-12-01
Series:IACR Transactions on Symmetric Cryptology
Subjects:
Online Access:https://tosc.iacr.org/index.php/ToSC/article/view/11277
Description
Summary:This paper presents new generic attacks on Feistel ciphers that incorporate the key addition at the input of the non-invertible round function only. This feature leads to a specific vulnerability that can be exploited using multidimensional linear cryptanalysis. More specifically, our approach involves using key-independent linear trails so that the distribution of a combination of the plaintext and ciphertext can be computed. This makes it possible to use the likelihood-ratio test as opposed to the χ2 test. We provide theoretical estimates of the cost of our generic attacks and verify these experimentally by applying the attacks to CAST-128 and LOKI91. The theoretical and experimental findings demonstrate that the proposed attacks lead to significant reductions in data-complexity in several interesting cases.
ISSN:2519-173X