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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > HYPERPLANE:
Reports tagged with hyperplane:
TR07-097 | 8th October 2007
Miklos Ajtai, Cynthia Dwork

The First and Fourth Public-Key Cryptosystems with Worst-Case/Average-Case Equivalence.

We describe a public-key cryptosystem with worst-case/average case
equivalence. The cryptosystem has an amortized plaintext to
ciphertext expansion of $O(n)$, relies on the hardness of the
$\tilde O(n^2)$-unique shortest vector problem for lattices, and
requires a public key of size at most $O(n^4)$ bits. The new
cryptosystem generalizes a conceptually ... more >>>




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