# On Cipher-Dependent Related-Key Attacks in the Ideal-Cipher Model

@inproceedings{Albrecht2011OnCR,
title={On Cipher-Dependent Related-Key Attacks in the Ideal-Cipher Model},
author={Martin R. Albrecht and Pooya Farshim and Kenneth G. Paterson and Gaven J. Watson},
booktitle={IACR Cryptol. ePrint Arch.},
year={2011}
}
• Published in IACR Cryptol. ePrint Arch. 13 February 2011
• Mathematics, Computer Science
Bellare and Kohno introduced a formal framework for the study of related-key attacks against blockciphers. They established sufficient conditions (output-unpredictability and collision-resistance) on the set of related-key-deriving (RKD) functions under which an ideal cipher is secure against related-key attacks, and suggested this could be used to derive security goals for real blockciphers. However, to do so requires the reinterpretation of results proven in the idealcipher model for the…
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## References

SHOWING 1-10 OF 24 REFERENCES
A Theoretical Treatment of Related-Key Attacks: RKA-PRPs, RKA-PRFs, and Applications
• Computer Science, Mathematics
EUROCRYPT
• 2003
This work begins by introducing definitions for the concepts of PRPs and PRFs secure against classes of RKAs, each such class being specified by an associated set of related-key deriving (RKD) functions, and proves impossibility results for some classes of attacks.
Security under key-dependent inputs
• Computer Science, Mathematics
CCS '07
• 2007
This work re-visits the question of building cryptographic primitives that remain secure even when queried on inputs that depend on the secret key and considers many natural constructions that fail to be KDI secure in the standard model, including some schemes that have been proven in the random oracle model.
Distinguisher and Related-Key Attack on the Full AES-256
• Computer Science, Mathematics
CRYPTO
• 2009
A chosen-key distinguisher and a related-key attack on the full 256-bit key AES, showing that AES-256 can not model an ideal cipher in theoretical constructions.
Ciphers Secure against Related-Key Attacks
• S. Lucks
• Computer Science, Mathematics
FSE
• 2004
This paper studies the security of PRF- and PRP-constructions against related-key attacks, and presents two novel constructions for related-keys secure PRFs and proves their security under number-theoretical infeasibility assumptions.
Pseudorandom Functions and Permutations Provably Secure against Related-Key Attacks
• Computer Science, Mathematics
CRYPTO
• 2010
This paper fills an important foundational gap with the first proofs, under standard assumptions and in the standard model, of the existence of PRFs and PRPs resisting rich and relevant forms of
On Related-Secret Pseudorandomness
• Computer Science, Mathematics
TCC
• 2010
This paper develops a theoretical framework of “related-secret secure” cryptographic primitives, a class of primitives which includes related-key secure blockciphers and PRFs, and shows that while a single related-secret pseduorandom bit is sufficient and necessary to create related- key secure block ciphers, hard-core bits with typical proofs are not related- secret psuedorandom.
New Types of Cryptanalytic Attacks Using related Keys (Extended Abstract)
• E. Biham
• Computer Science, Mathematics
EUROCRYPT
• 1993
It is shown that the key scheduling algorithms of many blockciphers inherit obvious relationships between keys, and use these key relations to attack the block ciphers, and shows that theKey scheduling algorithm should be carefully designed and that its structure should not be too simple.
New types of cryptanalytic attacks using related keys
• E. Biham
• Computer Science, Mathematics
Journal of Cryptology
• 2004
It is shown that the key-scheduling algorithms of many blockciphers inherit obvious relationships between keys, and use these key relations to attack the blockcips, and that DES is not vulnerable to the related keys attacks.
Related-Key Cryptanalysis of the Full AES-192 and AES-256
• Computer Science, Mathematics
ASIACRYPT
• 2009
This paper shows the first key recovery attack that works for all the keys and has 299.5 time and data complexity, while the recent attack by Biryukov-Khovratovich-Nikolic works for a weak key class and has much higher complexity.
Semantic Security under Related-Key Attacks and Applications
• Computer Science, Mathematics
ICS
• 2011
A formal study of RKA security for randomized encryption schemes, providing general definitions for semantic security under passive and active RKAs and showing that previous protocols which made a specialized use of random oracles in the form of operation respecting synthesizers or correlation-robust hash functions can be instantiated with RKA-secure encryption schemes.