AES I - Group, Ring, Field and Finite Field - Abstract Algebra Basics - Cyber Security - CSE4003

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In this session we will be looking at abstract algebra basics needed for understanding Advance Encryption Standard - AES
1. Groups
2. Rings
3. Fields
4. Finite Fields
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This video should appear first in youtube, when i search "Group, Ring and Field".... Thank You sir...

pradeephmkumar
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Very clear, crisp in a flow explanation for groups, fields and rings. To good!

mitaaggarwal
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Hi may i ask when you are checking for whether z%2 is a field, what happens when you add two expressions that each come to 1. eg 3mod2+4mod2=1+1 = 2 or 10?

vegiecon
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5 mod 2 = 1, mentioned wrong while adding :)

TheTeluguChurch
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wonderful explanation .. May I have your PowerPoint that you explain on it?

fatimanadi
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5 mod 2 + 3 mod 2 = 2 . Since 2 is not part of { 0, 1 } can we take it as a field?

pradeephmkumar
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In abstract algebra ops could be anything so say if we take natural numbers n subtraction op, it won't be closed under 2-5=-3 so it won't even be a group?

PowersOfTau
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you proved integers mod 2({0, 1}) to be a finite field but it does not satisfy additive inverse property of field? ..the additive inverse of 1 is -1 which is not present

ankitcse
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Sir Please Share notes of DES and AES algorithm.

saigeeta
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at 24:19 you made a misake by making 5 mod 2=0

ankitcse