Formalizing human ignorance collision-resistant hashing without the keys
There is a rarely mentioned foundational problem involving collision-resistant hash-functions: common constructions are keyless, but formal definitions are keyed. The discrepancy stems from the fact that a function H: {0,1}*→ {0, 1}nalways admits an efficient collision-finding algorithm, it's j...
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| Format: | Book Series |
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2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84887264252&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61601 |
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| Institution: | Chiang Mai University |
| Summary: | There is a rarely mentioned foundational problem involving collision-resistant hash-functions: common constructions are keyless, but formal definitions are keyed. The discrepancy stems from the fact that a function H: {0,1}*→ {0, 1}nalways admits an efficient collision-finding algorithm, it's just that us human beings might be unable to write the program down. We explain a simple way to sidestep this difficulty that avoids having to key our hash functions. The idea is to state theorems in a way that prescribes an explicitly-given reduction, normally a black-box one. We illustrate this approach using well-known examples involving digital signatures, pseudorandom functions, and the Merkle-Damgård construction. © Springer-Verlag Berlin Heidelberg 2006. |
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