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Factoring With Two Large Primes.pdf

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Preview of Factoring with two large primes
🔗 Source: link.springer.com
📊 Size: 999 KB
📄 Pages: 11 pages
⬇️ Downloads: 146

Summary

Arjen K. Lenstra and Mark S. Manasse present a new technique for factoring integers, which has led to significant speed-ups in factoring algorithms and new factorization records. They achieved a 50-day factorization of a 107-digit number and a 60-day factorization of a 111-digit number using their new version of the multiple polynomial quadratic sieve. The technique involves using large prime variations to find partial relations, which can be combined to create useful relations for factoring. This method has been used to factor a 138-digit number in approximately 50 days, which would have been impossible without it. The authors note that their technique does not pose a serious threat to factorization-based cryptosystems but could have significant implications for cryptanalysts.

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Arjen K. Lenstra and Mark S.

Technical Information

  • File Format: PDF
  • File Size: 999 KB
  • Pages: 11
  • Language: EN
  • Total Downloads: 146
  • Last Updated: 3 hours ago

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