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Efficiency Improvement for NTRU

Efficiency Improvement for NTRU. Johannes Buchmann Martin Döring Richard Lindner. Quantum Computer Attacks. RSA ECC McEliece Merkle NTRU. 1980 1990 2000 ∙∙∙ QComputer. Hoffstein, Pipher, Silverman. NTRU.

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Efficiency Improvement for NTRU

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  1. Efficiency Improvement for NTRU Johannes Buchmann Martin Döring Richard Lindner

  2. Quantum Computer Attacks RSA ECC McEliece Merkle NTRU 1980 1990 2000 ∙∙∙ QComputer

  3. Hoffstein, Pipher, Silverman NTRU • Patented in 1996 • Sony & Greylock invested $11M • IEEE Standard Proposal 1363.1 (in progress) • 7x faster than RSA • Message Expansion • Parameters often updated

  4. NTRU Trapdoor

  5. NAEP Encryption Input Fast Slow Output

  6. Fast Slow NAEP Decryption Input Output

  7. Multiplication with Binary Polynomials

  8. Standard Multiplication • Calculate rotations • Add

  9. Sliding Window Multiplication • (Pre-)Calculate for • Calculate rotations • Add

  10. Pattern Multiplication • 33% of recurring patterns have • Precalculation is not always possible • Not all patterns are needed • Finding needed patterns iseasy

  11. Pattern Multiplication • Calculate needed • Calculate rotations • Add

  12. Comparative Timings Platform: Pentium M, 1.6 GHz, 2GB RAM, JRE 1.6

  13. Try it yourself www.flexiprovider.de

  14. Trinary Case • Easy as binary case • Can reuse patterns

  15. Thank You

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