Non-trivial black-box combiners for collision-resistant hash-functions don't exist
Pietrzak KZ. 2007. Non-trivial black-box combiners for collision-resistant hash-functions don’t exist. EUROCRYPT: Theory and Applications of Cryptographic Techniques, LNCS, vol. 4515, 23–33.
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Abstract
A (k, ℓ)-robust combiner for collision-resistant hash-functions is a construction which from ℓ hash-functions constructs a hash-function which is collision-resistant if at least k of the components are collision-resistant. One trivially gets a (k, ℓ)-robust combiner by concatenating the output of any ℓ - k + 1 of the components, unfortunately this is not very practical as the length of the output of the combiner is quite large. We show that this is unavoidable as no black-box (k, ℓ)-robust combiner whose output is significantly shorter than what can be achieved by concatenation exists. This answers a question of Boneh and Boyen (Crypto'06).
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2007-06-12
Acknowledgement
Supported by DIAMANT, the Dutch national mathematics cluster for discrete interactive and algorithmic algebra and number theory.
Volume
4515
Page
23 - 33
Conference
EUROCRYPT: Theory and Applications of Cryptographic Techniques
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Pietrzak KZ. Non-trivial black-box combiners for collision-resistant hash-functions don’t exist. In: Vol 4515. Springer; 2007:23-33. doi:10.1007/978-3-540-72540-4_2
Pietrzak, K. Z. (2007). Non-trivial black-box combiners for collision-resistant hash-functions don’t exist (Vol. 4515, pp. 23–33). Presented at the EUROCRYPT: Theory and Applications of Cryptographic Techniques, Springer. https://doi.org/10.1007/978-3-540-72540-4_2
Pietrzak, Krzysztof Z. “Non-Trivial Black-Box Combiners for Collision-Resistant Hash-Functions Don’t Exist,” 4515:23–33. Springer, 2007. https://doi.org/10.1007/978-3-540-72540-4_2.
K. Z. Pietrzak, “Non-trivial black-box combiners for collision-resistant hash-functions don’t exist,” presented at the EUROCRYPT: Theory and Applications of Cryptographic Techniques, 2007, vol. 4515, pp. 23–33.
Pietrzak KZ. 2007. Non-trivial black-box combiners for collision-resistant hash-functions don’t exist. EUROCRYPT: Theory and Applications of Cryptographic Techniques, LNCS, vol. 4515, 23–33.
Pietrzak, Krzysztof Z. Non-Trivial Black-Box Combiners for Collision-Resistant Hash-Functions Don’t Exist. Vol. 4515, Springer, 2007, pp. 23–33, doi:10.1007/978-3-540-72540-4_2.
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