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REPORTS > KEYWORD > PUBLIC-KEY CRYPTOSYSTEM:
Reports tagged with public-key cryptosystem:
TR96-065 | 13th December 1996
Miklos Ajtai, Cynthia Dwork

#### A Public-Key Cryptosystem with Worst-Case/Average-Case Equivalence

We present a probabilistic public key cryptosystem which is
secure unless the following worst-case lattice problem can be solved in
polynomial time:
"Find the shortest nonzero vector in an n dimensional lattice
L where the shortest vector v is unique in the sense that any other
vector whose ... more >>>

TR02-042 | 7th June 2002
Dima Grigoriev

#### Public-key cryptography and invariant theory

Public-key crypto
Contact: dima@maths.univ-rennes1.fr
Author: Dima Grigoriev
Title: Public-key cryptography and invariant theory
Abstract: Public-key cryptosystems are suggested based on invariants of group
representations

more >>>

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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