Linear Cryptanalysis: Key Schedules and Tweakable Block Ciphers
Thorsten M. Kranz, Gregor Leander, Friedrich Wiemer
Abstract
Thorsten M. Kranz, Gregor Leander, Friedrich Wiemer
Abstract
This paper serves as a systematization of knowledge of linear cryptanalysis and provides novel insights in the areas of key schedule design and tweakable block ciphers. We examine in a step by step manner the linear hull theorem in a general and consistent setting. Based on this, we study the influence of the choice of the key scheduling on linear cryptanalysis, a – notoriously difficult – but important subject. Moreover, we investigate how tweakable block ciphers can be analyzed with respect to linear cryptanalysis, a topic that surprisingly has not been scrutinized until now.
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This paper serves as a systematization of knowledge of linear cryptanalysis and provides novel insights in the areas of key schedule design and tweakable block ciphers. We examine in a step by step manner the linear hull theorem in a general and consistent setting. Based on this, we study the influence of the choice of the key scheduling on linear cryptanalysis, a – notoriously difficult – but important subject. Moreover, we investigate how tweakable block ciphers can be analyzed with respect to linear cryptanalysis, a topic that surprisingly has not been scrutinized until now.
Key concepts: Linear cryptanalysis, Key schedule, Boomerang attack, Impossible differential cryptanalysis, Block cipher, Differential cryptanalysis, S-box, Computer science