CSIS 5857: Encoding and Encryption

... – Compute inverse of that polynomial mod some other “prime” polynomial – Galois Field with m = 28 used to create S-Boxes for AES , mapping 256 possible byte inputs to 256 possible byte outputs ...

... – Compute inverse of that polynomial mod some other “prime” polynomial – Galois Field with m = 28 used to create S-Boxes for AES , mapping 256 possible byte inputs to 256 possible byte outputs ...

Lecture 1

... Topology is a generalization of order Verify that for an ordered set (X , 6) the set τ = {A ∈ P(X ) | ∀x∈A ∀y ∈X [(x 6 y ) ⇒ (y ∈ A)]} is a topology on X . It is called the Alexandroff topology of (X , 6). Show that two different orders on the same set give rise to two different Alexandroff topologi ...

... Topology is a generalization of order Verify that for an ordered set (X , 6) the set τ = {A ∈ P(X ) | ∀x∈A ∀y ∈X [(x 6 y ) ⇒ (y ∈ A)]} is a topology on X . It is called the Alexandroff topology of (X , 6). Show that two different orders on the same set give rise to two different Alexandroff topologi ...

Morphisms in Logic, Topology, and Formal Concept Analysis

... ping on models in the opposite direction, with the property that the image of a formula relates to a given model if and only if the image of the model relates to the formula. These morphisms have several advantages: other than being motivated in logical terms, they can easily be described for arbitr ...

... ping on models in the opposite direction, with the property that the image of a formula relates to a given model if and only if the image of the model relates to the formula. These morphisms have several advantages: other than being motivated in logical terms, they can easily be described for arbitr ...

Remarks on a paper of Guy Henniart

... Let K/E be an infinite Galois extension of p-adic local fields. Let v be a jump for the upper numbering filtration and define α = inf{α ∈ R | Gal(K/E)α ⊆ Gal(K/E)v }. Then α is strictly smaller than v. 1.5. Wild, homogeneous local Galois representations All fields are non-Archimedean local containin ...

... Let K/E be an infinite Galois extension of p-adic local fields. Let v be a jump for the upper numbering filtration and define α = inf{α ∈ R | Gal(K/E)α ⊆ Gal(K/E)v }. Then α is strictly smaller than v. 1.5. Wild, homogeneous local Galois representations All fields are non-Archimedean local containin ...