Quantum cryptanalysis of ciphers based on generalized Feistel and Lai-Massey schemes
DOI:
https://doi.org/10.20535/tacs.2664-29132025.3.347525Abstract
This paper investigates generalizations of the Lai-Massey scheme, including unified constructions
combining it with the Feistel scheme (MD GLM, UFLM, L-Feistel, and quasi-Feistel). New reductions
to the quasi-Feistel scheme are provided. Known efficient quantum attacks are analyzed, including
chosen-plaintext attacks on 3 rounds and chosen-ciphertext attacks on 4 rounds for a special case of the
quasi-Feistel cipher using Simon’s algorithm. It is demonstrated that restrictions in that work led to the
degeneration of the quasi-Feistel scheme into the standard Feistel scheme, replicating known quantum
attacks on the Feistel scheme. New two-round distinguishing attacks are presented for the L-Feistel and
MD-1 GLM schemes, enabling round key recovery.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
