Claus Fieker Seminar SS12:Lattice based cryptography
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Lattice based cryptography

Neu sortiert, mit Daten und Namen.
  1. Overview (Fieker)
  2. Z-moduln, Hermite and Smith normal forms

    Cohen I (Kopp, 8.5.)

  3. Lattices: definition, minima, Minkowski theory, enumeration

    Pohst-Zassenhaus (Haag, 15.5.)

  4. Lattices: LLL and applications, short vectors, close vectors

    Pohst-Zassenhaus (Neurohr, 22.5.)

  5. Lattices: complexity of lattice problems

    For an overview, have a look at here(Steuer, 29.5.)

  6. Fully Homomorphic Encryption (Gentry's Thesis) (Bindel, 5.6.)
  7. The NTRU system

    See 1st reference given below (or Wikipedia)(Rese, 12.6.)

  8. Lattice based Hash functions LASH

    See here There are other overviews available (Mücksch, 19.6.)

  9. A lattice-based traitor tracing scheme see (Emelin, 26.6.)
  10. Learning with error (LWE)

    also for the next, have a look at this or that (at least the 1st half)(Eberle, 3.7.)

  11. LWE crypto

    see above (Korell, 3.7.)

  12. The GGH system - and how to break it

    See here (Boos, 10.7.)

  13. Coppersmith's method for small roots

    See here(This is the reason to avoid small exponents in RSA) (Behr, 17.7.)

For a general overview, I suggest looking at either this or that paper. (Some of the links will only work at the uni) On the 1st slot (17.4) we will finalize (if neccessary) the topics and decide the language ... On the 24.4 I will give some overview/ motivation and the following week we start the serious talks.

I would like to see written drafts of the talks before talks, not neccessarily typed.

Wenn es Probleme mit den Links gibt, bitte Beschweren. Ich habe die gerade alle ausprobiert und alles hat geklappt.

TU KaiserslauternFB MathematikAG Algebra & GeometrieCAS SINGULAR KIS