pair wise independent hash function

Vickey Kumar

8/30/24, 6:01 AM

Let H be a pairwise independent hash function family with key space K, input space {0, 1}ℓ and output space {0, 1}ℓ. Use H to construct an encryption scheme with message space {0, 1}ℓ such that the scheme satisfies O(2−ℓ)-perfect two-time security. (Note: your encryption scheme must be stateless.) You must provide a detailed proof of security, including appropriate hybrid experiments. 1-3

0 + 2

secret-sharing

password-hashing

Morrolan

8/30/24, 6:14 AM

Sounds like coursework. Show us what you have tried and what your thoughts are, then we might be able to provide you with hints.

fgrieu

8/30/24, 7:23 AM

If you want help on this cut&paste of homework/exercise, first [edit](https://crypto.stackexchange.com/posts/107792/edit) it to bring it to a readable form, preferably [using LaTeX](https://crypto.meta.stackexchange.com/a/1070/555). Reword it so that's it's no longer a verbatim (thus a possible copyright violation) and in the style of direct instructions to a student. State what you have tried or/and where you are stuck. If that's at start, state/summarize the definitions of the notions (pairwise independent hash function family, two-time security of a stateless encryption scheme).

Elon Musk

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EN: pair wise independent hash function

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