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Parallel Gauss Sieve Algorithm Solving the SVP in the Ideal Lattice of 128 dimensions

Eurocrypt 2013, Rump Session May 28, 2013. Parallel Gauss Sieve Algorithm Solving the SVP in the Ideal Lattice of 128 dimensions. Tsukasa Ishiguro (KDDI R&D Laboratories) Shinsaku Kiyomoto (KDDI R&D Laboratories) Yutaka Miyake (KDDI R&D Laboratories) Tsuyoshi Takagi (Kyushu University).

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Parallel Gauss Sieve Algorithm Solving the SVP in the Ideal Lattice of 128 dimensions

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  1. Eurocrypt2013,RumpSession May 28, 2013. Parallel Gauss Sieve AlgorithmSolving the SVP in the Ideal Lattice of 128 dimensions Tsukasa Ishiguro (KDDI R&D Laboratories) Shinsaku Kiyomoto (KDDI R&D Laboratories) Yutaka Miyake (KDDI R&D Laboratories) Tsuyoshi Takagi (Kyushu University) Parallel Gauss Sieve Algorithm 1/6

  2. Shortest vector problem (SVP) Shortest vectors Parallel Gauss Sieve Algorithm 2/6

  3. Algorithms for solving the SVP We propose the Parallel Gauss sieve algorithm. (more than 1,000 threads) Parallel Gauss Sieve Algorithm 3/6

  4. Sieving in the Ideal lattice Parallel Gauss Sieve Algorithm 4/6

  5. We Solved the SVP in the Ideal Lattice of 128 dimensions Darmstadt Ideal Lattice Challenge http://www.latticechallenge.org/ideallattice-challenge/ Parallel Gauss Sieve Algorithm 5/6

  6. Solution of the Ideal Lattice Challenge 128 vectors Parallel Gauss Sieve Algorithm 6/6

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