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While we're here, Christof Paar's 'Introduction to Cryptography' lecture series (freely available on YouTube here in English: https://www.youtube.com/channel/UC

While we're here, Christof Paar's 'Introduction to Cryptography' lecture series (freely available on YouTube here in English: https://www.youtube.com/channel/UC1usFRN4LCMcfIV7UjHNuQg https://www.youtube.com/channel/UC1usFRN4LCMcfIV7UjHNuQg, 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 (https://www.youtube.com/watch?v=x1v2tX4_dkQ https://www.youtube.com/watch?v=x1v2tX4_dkQ) 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).

jjice 6y ago
We used Christof Paar's book in my crypto class this past semester. The book was great (much better than my professor) and the explanations of how number theory makes up the majority of the math our modern encryption uses were great. I had never heard of a Galois field until that course, and his text book did a great job explaining what they are and why it makes AES possible. In general, encryption algorithms are so neat. We take some obscure (at least to me) math topics and we can use them in ways to create these incredible algorithms. Right now, the most exciting thing in the world of crypto for me is the NIST competition for a post-quantum crypto algorithm. I'm very excited to see what comes out on top.
fatnoah 6y ago
I love the shoutout. As a grad student at WPI somewhere around 2000 or so when AES was first, I took his "Cryptography and Data Security" course and my end of class project was a complete implementation (in C) of Rijndael. (I later found out that others in the class chose to implement portions of the cipher and not the whole thing.) It was definitely one of my favorite grad classes.

jjice 6y ago

We used Christof Paar's book in my crypto class this past semester. The book was great (much better than my professor) and the explanations of how number theory makes up the majority of the math our modern encryption uses were great. I had never heard of a Galois field until that course, and his text book did a great job explaining what they are and why it makes AES possible. In general, encryption algorithms are so neat. We take some obscure (at least to me) math topics and we can use them in ways to create these incredible algorithms. Right now, the most exciting thing in the world of crypto for me is the NIST competition for a post-quantum crypto algorithm. I'm very excited to see what comes out on top.

fatnoah 6y ago

I love the shoutout. As a grad student at WPI somewhere around 2000 or so when AES was first, I took his "Cryptography and Data Security" course and my end of class project was a complete implementation (in C) of Rijndael. (I later found out that others in the class chose to implement portions of the cipher and not the whole thing.) It was definitely one of my favorite grad classes.