The key-scheduling algorithm in the AES is the component responsible for selecting from the master key the sequence of round keys to be xor-ed to the partially encrypted state at each iteration. We consider here the group F generated by the action of the AES-128 key-scheduling operation, and we prove that the smallest group containing F and all the translations of the message space is primitive. As a consequence, we obtain that no linear partition of the message space can be invariant under its action.

Aragona, R., Civino, R., Dalla Volta, F. (2022). On the primitivity of the AES-128 key-schedule. JOURNAL OF ALGEBRA AND ITS APPLICATIONS [10.1142/S021949882350233X].

On the primitivity of the AES-128 key-schedule

Dalla Volta, F
2022

Abstract

The key-scheduling algorithm in the AES is the component responsible for selecting from the master key the sequence of round keys to be xor-ed to the partially encrypted state at each iteration. We consider here the group F generated by the action of the AES-128 key-scheduling operation, and we prove that the smallest group containing F and all the translations of the message space is primitive. As a consequence, we obtain that no linear partition of the message space can be invariant under its action.
Articolo in rivista - Articolo scientifico
AES; cryptography; group generated by the round functions; invariant partitions; key schedule; Primitive groups;
English
2022
2350233
open
Aragona, R., Civino, R., Dalla Volta, F. (2022). On the primitivity of the AES-128 key-schedule. JOURNAL OF ALGEBRA AND ITS APPLICATIONS [10.1142/S021949882350233X].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396411
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