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.
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Axol x Alex Skrindo - You [NCS Release]
#NetworkSecurityByNeso #Cryptography #NetworkSecurity #Rings #Fields #FiniteFields

[@k.kailasnath1932]

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

[@erolakkas6410]

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

[@user-tp5oi4jp7i]

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.

[@raulmarin6607]

thank you very much for a very clear explanation

[@Debasish-Kumar-Baidya]

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

[@engineersmind877]

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

[@akashrashmika3729]

excellent.thank you so much

[@staryout]

Great video 🙏

[@gerphoenix5786]

thank you!!!

[@harshmarkam6883]

Thank you soo much sir 🙏

[@mohitpandey4655]

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

[@omartahmi2813]

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 ?

[@chinmayrath8494]

If we mod the integers and the modulus is a prime, say p, then each positive integer that is less than p is relatively prime to p and, therefore, has a multiplicative inverse modulo p. So, when we mod by a prime p we construct a finite field of p elements; the integers mod p is a finite field

[@lovelinux308]

@nesoacademy please specifies when this subject will be completed.

[@user-hc8hx9ll2b]

What a great class. Jay Jagannath ⭕❗⭕b

[@mathstechnicalguru2041]

Please sir ,Abstract alegebra provide all videos 🙏

[@abc-ym4zs]

sir here 1 is numeric one or one element

[@satyamkumar759]

Pranam sir

[@arjungaming2706]

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 :😭😭

[@bhartitomar1964]

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

[@darshgupta1021]

pass or fail?

[@btstia]

Mine is tomorrow 😂

[@subashadhikari3290]

Thankyou from the land of mountains, Nepal

[@adamhenriksson6007]

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.

[@rajeshprajapati4863]

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

[@manuuchit2021]

No it's about binary operation which is given in question

[@rajeshprajapati6662]

@@manuuchit2021 Got it. Thanks !

[@RighttoInformationAct2005]

sir where is the next chapters pls

[@samifjs34]

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.

[@binarysaiyan9389]

Rings and fields are used to generate secret keys that have some properties that makes them useful for implementing various cryptographic primitives

[@binarysaiyan9389]

Like Shamir's secret sharing algorithm

[@itsm3dud39]

is this the last video?

[@nesoacademy]

www.nesoacademy.org/cs/11-cryptography-and-network-security

[@My_Creativity-143.]

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