Context Our Contribution Conclusion

Eric Brier1

Description

Context Our Contribution Conclusion Factoring Unbalanced Moduli with Known Bits Eric Brier1 David Naccache2 Mehdi Tibouchi2 1Ingenico 2Ecole normale superieure ICISC 2009

• context factoring


• ecole normale


• factoring unbalanced


• using lattice


• bit pattern


• unbalanced moduli


• pattern can

Sujets

• Ingenico
• École normale

Informations

• Publié par: pefav
• Nombre de lectures: 11
• Langue: English

Extrait

Context

Factoring

OurContribution

Unbalanced Moduli with Known

´ Eric Brier 1 David Naccache 2 Mehdi Tibouchi 2

1

Ingenico

2 eirueermrlasepuonelocE ´ ´

ICISC 2009

Bits

Conclusion

ContextuOrCnortbiution

Our Results in a Nutshell

Co

• Investigatethe problem of factoring an unbalanced RSA modulusn=pq(p>q) given the knowledge of some bits of p. • Findthat it is easily solved when at least 2 log 2 qcontiguous bits ofpare known, regardless of their position. • Showthat this bound can be improved depending on where the known bit pattern is located, and that different (e.g. non-contiguous) patterns can be tackled as well.

nclusion

ContextuOrCnortbiution

Our Results in a Nutshell

Co

• Investigatethe problem of factoring an unbalanced RSA modulusn=pq(p>q) given the knowledge of some bits of p. • Find logit is easily solved when at least 2that 2 qcontiguous bits ofpare known, regardless of their position. • Showthat this bound can be improved depending on where the known bit pattern is located, and that different (e.g. non-contiguous) patterns can be tackled as well.

cnlusion

oCtnxetOurContribution

Our Results in a Nutshell

Co

• Investigatethe problem of factoring an unbalanced RSA modulusn=pq(p>q) given the knowledge of some bits of p. • Findit is easily solved when at least 2 logthat 2 qcontiguous bits ofpare known, regardless of their position. • Showthat this bound can be improved depending on where the known bit pattern is located, and that different (e.g. non-contiguous) patterns can be tackled as well.

nclusion

Context

Context Factoring with a hint Unbalanced moduli

Our Contribution Initial observations Using Lattice Reduction Other patterns

uOrCnortibution

Outline

Conclusion