Rings, Fields and Finite Fields

Network Security: Rings, Fields, and Finite Fields
Topics discussed:
1) Properties that are satisfied for an abelian group to be a ring, commutative ring, integral domain, and field.
2) Consolidation of all properties to be satisfied for a ring, commutative ring, integral domain, and field.
3) Properties that are satisfied for a set to be a finite field.
4) Familiar examples of fields.
5) Application areas of finite fields.

Music:
Axol x Alex Skrindo - You [NCS Release]

#NetworkSecurityByNeso #Cryptography #NetworkSecurity #Rings #Fields #FiniteFields

[k.kailasnath]

Excellent. I have not seen such a beautiful and lucid explanation of abstract algebra

[erolakkas]

Excellent. You nailed it bro. I think everyone can easily understands what linear algebra tells.

[Luffy-eg]

thankyou so much, i am greatfull that i found this video, i am having exam tomorrow and this video helped me alot, you explained it really nicely.

[Debasish-Kumar-Baidya]

Finally Completed
My Cryptography Syllabus
19/4/2023
8th Semester
NSEC

[samifjs]

Make a video on how this concept is used in security and cryptography. I KNOW What is ring, field I want to know how it is used in this area.

[raulmarin]

thank you very much for a very clear explanation

[subashadhikari]

Thankyou from the land of mountains, Nepal

[mathstechnicalguru]

Please sir, Abstract alegebra provide all videos 🙏

[omartahmi]

Thank you very much for this perfect presentation of rings, fields and finite fields. I have a question, at 12:17, why you said that p is obviously a prime number? Is it because if p is not a prime number then we can't always divide by a non-zero number? so not every number has a multiplicative inverse which contradicts M6 so it's not an integral domain then not a finite field right ?

[bhartitomar]

Plzz post further topics 🥺
We have semester exams after 3 days

[engineersmind]

Post further topics.... That will help to understand everything about cryptography

[lovelinux]

@nesoacademy please specifies when this subject will be completed.

[Radhe.Krishna-jl]

What a great class. Jay Jagannath ⭕❗⭕b

[rajeshprajapati]

See 10:57, A2 is Associativity of Addition. Right ? Anyone can confirm.

[adamhenriksson]

Is (-b) the same as b^-1. It makes no sense to me that (-b) should exist if a-b does not exist. a + b^-1 makes much more sense.

[mohitpandey]

Thank God I have learnt abstract algebra and vector spaces before 😂

[arjungaming]

Thank you sir ❤
This lecture is exactly like mom does during we eat chapati
Son : mom iam done my stomach is full
Mom : No take one more chapati
Son : ok this is last one
Mom : No one more & this is the last chapati you have to eat
Son :😭😭

[creaturesuniverse]

Make a Video how this concept use in cryptography.. Pls Sir.❤

[abc-ymzs]

sir here 1 is numeric one or one element

[fifagamming]

Sir group theory ka pdf note milega kya