Paper 2023/1355 Original: eprint.iacr.org/2023/1355 ↗

Security Proofs for Key-Alternating Ciphers with Non-Independent Round Permutations

Liqing Yu
Yusai Wu
Yu Yu
Zhenfu Cao
Xiaolei Dong
Abstract

This work studies the key-alternating ciphers (KACs) whose round permutations are not necessarily independent. We revisit existing security proofs for key-alternating ciphers with a single permutation (KACSPs), and extend their method to an arbitrary number of rounds. In particular, we propose new techniques that can significantly simplify the proofs, and also remove two unnatural restrictions in the known security bound of 3-round KACSP (Wu et al., Asiacrypt 2020). With these techniques, we prove the first tight security bound for t-round KACSP, which was an open problem. We stress that our techniques apply to all variants of KACs with non-independent round permutations, as well as to the standard KACs.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2023-09-11: last updated
2023-09-11: published
Short URL
https://ia.cr/2023/1355
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/1355,
      author = {Liqing Yu and Yusai Wu and Yu Yu and Zhenfu Cao and Xiaolei Dong},
      title = {Security Proofs for Key-Alternating Ciphers with Non-Independent Round Permutations},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1355},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1355}
}
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