The Mathematics of Lattices I

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  • Опубліковано 27 сер 2024

КОМЕНТАРІ • 14

  • @johnyeah6406
    @johnyeah6406 4 роки тому +13

    This is the most elegant and most condensed lattices from scratch talk I have ever seen, Vinod is a legend

    • @A__Ujwala
      @A__Ujwala 3 роки тому

      Hello John! I really need to do a project in cryptography as a part of my college academics. My basics of cryptography are not clear. Can you explain what does vinod mean by vectors? Please give an example of a vector in cryptography.

  • @mohamedbachkat6085
    @mohamedbachkat6085 Рік тому +1

    Hello, Could someone explain me what is the gaussian sampling simpely please?

  • @winterrain870
    @winterrain870 6 років тому +3

    Are there any reading material on this subject??

  • @forheuristiclifeksh7836
    @forheuristiclifeksh7836 5 місяців тому +1

    1:04:06

  • @ellenajt1027
    @ellenajt1027 4 роки тому +1

    Vaikuntanathan tries to explain at 1:04:28 ish why we shouldn't expect the SIS solution to give us the zero vector... so I guess I see that the ambiguity about where the y_i comes from means its unlikely that a worst case SIS solution will conspire to be zero? (Presumably there are a lot of SIS solutions for a random instance?) This doesn't feel very satisfying to me... can anyone flesh out the intuition he is alluding to?
    Edit: Some additional discussion is given in the next video. The additional idea is that the adversary only gets the y_i mod the lattice, which hides information that they would need to make it so that ry is the zero vector...

  • @mohamedbachkat6085
    @mohamedbachkat6085 Рік тому

    Hello, could someone can explain me how to had ei to vi to obtain yi with gaussian please? I need the details of the calculation please?

  • @carolinbeer3945
    @carolinbeer3945 2 роки тому

    Can someone explain me the difference between y_i and a_i (around 57:00)?

  • @abidgr8
    @abidgr8 6 років тому +4

    Is the PDF of the talk available?

  • @forheuristiclifeksh7836
    @forheuristiclifeksh7836 4 місяці тому

    1:00:40

  • @jamesbolivardigriz8252
    @jamesbolivardigriz8252 2 роки тому

    great talk but please don't use long dashes as bullet points when giving s.t. conditions -- too easily confused for negation signs

  • @A__Ujwala
    @A__Ujwala 3 роки тому

    what does he mean by vectors? can any one give an example for a vector in cryptography?

    • @Mr_Oszy
      @Mr_Oszy 2 роки тому

      vector used to describe anything that has both a direction and a magnitude such as velocity..in cryptography you can treat a meassge mi as vector..