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Lecture 7: Introduction to Galois Fields for the AES by Christof Paar

Introduction to Cryptography by Christof Paar · 278.4K views · 2014-01-30 · 1:30:50

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Overview

Christof Paar's university lecture introducing Galois fields and finite-field arithmetic as used in AES. It covers the mathematics behind the AES S-box.

On Hacker News

Recommended as a moderately formal, clear introduction to finite fields, useful beyond AES.

Recommended by 3 HN people across 3 months · HN mentions 2017–2020

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What people said

opheliate · 2020-12 · Strong recommendation

While we're here, Christof Paar's 'Introduction to Cryptography' lecture series (freely available on YouTube here in English: [LINK] , originally delivered at Ruhr University Bochum) is a really excellent explanation of the internals of a number of crytographic algorithms. The lecture on Galois Fields ( [VIDEO] ) is especially useful in understanding AES, and explains where some of the operations described in the blog linked here actually come from (i.e: S-Boxes used in AES are derived from inversion in finite fields).

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dnautics · 2019-02 · Recommendation

if you want to learn finite fields somewhat more formally, but not so formally, this is a pretty good introduction (yes, it's for AES, but the principles are the same): [VIDEO]

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ktta · 2017-07 · Recommendation

Galois fields are used in crypto a bit, and I recommend this lecture to understand it in the context of crypto [VIDEO] PS: He has an entire series of lectures on his channel. Highly recommend.

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