Rings, Fields and Finite Fields

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

Опубликовано:

16 сен 2024

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Комментарии : 38

@k.kailasnath1932 Год назад

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

@erolakkas6410 9 месяцев назад

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

@user-tp5oi4jp7i 6 месяцев назад

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 Год назад

thank you very much for a very clear explanation

@Debasish-Kumar-Baidya Год назад

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

@engineersmind877 2 года назад

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

@akashrashmika3729 4 месяца назад

excellent.thank you so much

@samifjs34 10 месяцев назад

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 10 месяцев назад

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

@binarysaiyan9389 10 месяцев назад

Like Shamir's secret sharing algorithm

@mathstechnicalguru2041 Год назад

Please sir ,Abstract alegebra provide all videos 🙏

@omartahmi2813 Год назад

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 Год назад

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

@staryout Год назад

Great video 🙏

@subashadhikari3290 2 года назад

Thankyou from the land of mountains, Nepal

@satyamkumar759 2 года назад

Pranam sir

@bhartitomar1964 2 года назад

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

@darshgupta1021 Год назад

pass or fail?

@Blackpinnkkkk Год назад

Mine is tomorrow 😂

@creaturesuniverse248 3 месяца назад

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

@gerphoenix5786 2 года назад

thank you!!!

@user-hc8hx9ll2b 5 месяцев назад

What a great class. Jay Jagannath ⭕❗⭕b

@mohitpandey4655 2 года назад

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

@lovelinux308 2 года назад

@nesoacademy please specifies when this subject will be completed.

@rajeshprajapati4863 2 года назад

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

@manuuchit2021 2 года назад

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

@rajeshprajapati6662 2 года назад

@@manuuchit2021 Got it. Thanks !

@adamhenriksson6007 Год назад

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.

@arjungaming2706 Год назад

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 :😭😭