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The hardness of approximate optima in lattices codes, and systems of linear equations
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A public-key cryptosystem with worst-case/average-case equivalence
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Ajtai, M.1
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Generating hard instances of lattice problems
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M. Ajtai, Generating hard instances of lattice problems, in Proc. 28th ACM Symposium on Theory of Computing (STOC), 1996, pp. 99-108. Full version available as TR96-007 from ECCC, Electronic Colloquium on Complexity, at http://www.uni-trier.de/eccc/.
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Ajtai, M.1
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2 is NP-hard for randomized reduction
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2 is NP-hard for randomized reduction, in, Proc. 30th ACM Symposium on Theory of Computing (STOC), 1998. Full version available as TR97-047 from ECCC, Electronic Colloquium on Computational Complexity, at http://www.uni-trier.de/eccc/.
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On the Limits of Non-approximability of Lattice Problems
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Goldreich, O.1
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O. Goldreich, S. Goldwasser, and, S. Halevi, Public-key cryptosystems from lattice reduction problems, 1996. Available as TR96-056 from ECCC, Electronic Colloquium on Computational Complexity, at http://www.uni-trier.de/eccc/.
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Public-key Cryptosystems from Lattice Reduction Problems
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Goldreich, O.1
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Extraits de lettres de M. Ch. Hermiteà M. Jacobi sur différents objects de la théorie des nombres
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Korkin-Zolotariev bases and successive minima of a lattice and its reciprocal lattice
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The shortest vector in a lattice is hard to approximate to within some constant
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to appear. Available as TR98-016 from ECCC, Electronic Colloquium on Computational Complexity, at
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D. Micciancio, The shortest vector in a lattice is hard to approximate to within some constant, in, Proceedings of FOCS, 1998, to appear. Available as TR98-016 from ECCC, Electronic Colloquium on Computational Complexity, at http://www.uni-trier.de/eccc/.
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P. Nguyen, and, J. Stern, A converse to the Ajtai-Dwork security proof and its cryptographic implications, 1998. Available as TR98-010 from ECCC, Electronic Colloquium on Computational Complexity, at http://www.uni-trier.de/eccc/.
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A Converse to the Ajtai-Dwork Security Proof and Its Cryptographic Implications
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