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Search results “Abstract algebra in cryptography degree”

05:01
Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
Views: 140781 Socratica

14:46
Learn and understand GF and various operations on elements using polynomial representation

08:49
Solutions to some typical exam questions. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Views: 37763 Randell Heyman

07:41
Multiplication and addition tables for GF(2^3), concept of generator in GF and operations using generator.

10:40
This video covers the math major including applied math vs pure math, courses you'll take, and careers you can go into. The math major in undergrad involves a lot of the same classes whether you go into applied math or pure math include Calculus, linear algebra, differential equations, proofs, abstract algebra, real analysis, and more. But you will be able to take electives in pure or applied math concepts. Pure math is about using math to solve problems in math. Then applied math is about using math to solve problems outside of math (such as physics, engineering, finance, chemistry, biology, etc). Many pure math students end up getting their PhD so they can work in academia on research. Overall math students can go into a variety of fields including engineering, software development, teaching, finance, and more. Applied Math Courses: https://www.youtube.com/watch?v=mRxsfgilBKY *************************************************** ► For more information on math, science, and engineering majors, check us out at https://majorprep.com *************************************************** ► Patreon: https://patreon.com/majorprep ► PayPal: https://www.paypal.me/majorprep ► Facebook: https://facebook.com/majorprep
Views: 160359 MajorPrep

18:17
Additive and Multiplicative Inverse of elements in Galois Field. link to my channel- https://www.youtube.com/user/lalitkvashishtha link to data structure and algorithm playlist - https://www.youtube.com/watch?v=GbOW74e4xZE&list=PLLvKknWU7N4y_eGpQdg1Y-hORO7cxtoLU link to information theory and coding techniques playlist - https://www.youtube.com/watch?v=2qJ_mcjKYtk&list=PLLvKknWU7N4yDkIlN4YE-sXfFD4trDf6W link to compiler design playlist - https://www.youtube.com/watch?v=uAVkjTbB7Yc&list=PLLvKknWU7N4zpJWLqk7DXK26JwTB-gFmZ
Views: 27453 Lalit Vashishtha

01:15:21
Coding Theory by Dr. Andrew Thangaraj, Department of Electronics & Communication Engineering, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 26113 nptelhrd

11:07
Groups of Permutations - Also, A could be empty, since the empty function on the empty set is the identity permutation of that set, so S_emptyset is the trivial group.

01:24:12
2018 Program for Women and Mathematics Topic: Mathematics in Cryptography II Speaker: Toni Bluher Affiliation: National Security Agency Date: May 21, 2018 For more videos, please visit http://video.ias.edu

34:45
In this video I discuss irreducible polynomials and tests for irreducibility. Note that this video is intended for students in abstract algebra and is not appropriate for high-school or early college level algebra courses.
Views: 35885 James Hamblin

15:22
How to check whether the given polynomial is irreducible or not. link to my channel- https://www.youtube.com/user/lalitkvashishtha link to data structure and algorithm playlist - https://www.youtube.com/watch?v=GbOW74e4xZE&list=PLLvKknWU7N4y_eGpQdg1Y-hORO7cxtoLU link to information theory and coding techniques playlist - https://www.youtube.com/watch?v=2qJ_mcjKYtk&list=PLLvKknWU7N4yDkIlN4YE-sXfFD4trDf6W link to compiler design playlist - https://www.youtube.com/watch?v=uAVkjTbB7Yc&list=PLLvKknWU7N4zpJWLqk7DXK26JwTB-gFmZ
Views: 18083 Lalit Vashishtha

14:21
Chapter 14 (Formerly Chapter 5: Cryptography) of "Elementary Abstract Algebra: Examples and Applications. To find the textbook, "Algebraic Structures and Applications", please visit the page: abstractalgebra.altervista.org
Views: 209 coachmath3

55:42
Discrete Mathematical Structures
Views: 101240 nptelhrd

03:13
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
Views: 123836 Socratica

18:51
Learn more math and science with brilliant.org, https://brilliant.org/blackpenredpen/ , first 200 people to sign up will get 20% off your subscription, and you can also support my channel! Thank you! Read more about CRT: https://brilliant.org/wiki/chinese-remainder-theorem/ Solution to the question: https://brilliant.org/problems/thursday-birthday/ a classic modular arithmetic problem, solving system of congruences, must know number theory basic, blackpenredpen, math for fun, https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen, [email protected]
Views: 47789 blackpenredpen

14:27
In this video we only focus on the mathematical solution for software_update from the 34c3 CTF. sage script: https://gist.github.com/LiveOverflow/104adacc8af7895a4c14cea4a5236ecc -=[ 🔴 Stuff I use ]=- → Microphone:* https://amzn.to/2LW6ldx → Graphics tablet:* https://amzn.to/2C8djYj → Camera#1 for streaming:* https://amzn.to/2SJ66VM → Lens for streaming:* https://amzn.to/2CdG31I → Connect Camera#1 to PC:* https://amzn.to/2VDRhWj → Camera#2 for electronics:* https://amzn.to/2LWxehv → Lens for macro shots:* https://amzn.to/2C5tXrw → Keyboard:* https://amzn.to/2LZgCFD → Headphones:* https://amzn.to/2M2KhxW -=[ ❤️ Support ]=- → per Video: https://www.patreon.com/join/liveoverflow → per Month: https://www.youtube.com/channel/UClcE-kVhqyiHCcjYwcpfj9w/join -=[ 🐕 Social ]=- → Twitter: https://twitter.com/LiveOverflow/ → Website: https://liveoverflow.com/ → Subreddit: https://www.reddit.com/r/LiveOverflow/ → Facebook: https://www.facebook.com/LiveOverflow/ -=[ 📄 P.S. ]=- All links with "*" are affiliate links. LiveOverflow / Security Flag GmbH is part of the Amazon Affiliate Partner Programm. #CTF #Cryptography
Views: 22093 LiveOverflow

19:18
This video is useful for students of BTech/BE/Engineering/ BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.

30:23
Views: 9042 Internetwork Security

11:51
This video is useful for students of BTech/BE/Engineering/ BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.

10:35
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven using basic group theory. Prerequisites: To follow this video, you will want to first learn the basics of congruences. If you found this video helpful, please share it with your friends! You might like the other videos in our Number Theory Playlist: https://www.youtube.com/watch?v=VLFjOP7iFI0&list=PLi01XoE8jYojnxiwwAPRqEH19rx_mtcV_ Don't forget to Subscribe to our channels so you'll hear about our newest videos: http://www.youtube.com/subscription_center?add_user=SocraticaStudios Subject: Number Theory Teacher: Michael Harrison Artist: Katrina de Dios
Views: 148184 Socratica

10:37
Ring Theory: As an application of maximal ideals and residue fields, we give explicit constructions of fields with 4 and 8 elements. A key step is to find irreducible polynomials (quadratic and cubic).
Views: 8699 MathDoctorBob

17:49
This video is useful for students of BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.

03:11
Learn the definition of a group - one of the most fundamental ideas from abstract algebra. If you found this video helpful, please give it a "thumbs up" and share it with your friends! To see more videos on Abstract Algebra, please watch our playlist: https://www.youtube.com/watch?v=QudbrUcVPxk&list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6 If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
Views: 206011 Socratica

13:59
Group Theory 69, Polynomial Rings

04:10
This tutorial demonstrates how the euclidian algorithm can be used to find the greatest common denominator of two large numbers. Learn Math Tutorials Bookstore http://amzn.to/1HdY8vm Donate http://bit.ly/19AHMvX STILL NEED MORE HELP? Connect one-on-one with a Math Tutor. Click the link below: https://trk.justanswer.com/aff_c?offer_id=2&aff_id=8012&url_id=232 :)
Views: 322720 Learn Math Tutorials

11:57
Field Theory 1, Extension Fields Please check my list on Abstract Algebra http://www.youtube.com/playlist?list=PLWbnIo7XnOkw7zZu6u3si3at21r534qIM

11:22
This video shows you how to calculate the order of integers and how to find primitive roots.
Views: 15727 Cathy Frey

31:24
Views: 18824 Internetwork Security

24:28
Views: 888906 3Blue1Brown

05:30
Addition and multiplication of Ring of polynomials over Modulo m. How to solve addition and multiplication of Ring of polynomial over Modulo. #RingOfPolynomials #additionMultiplication #modulo #ringtheory Please subscribe the channel for updates and support us.

15:55
Views: 203037 MajorPrep

09:34
https://annamalaimaths.wordpress.com/
Views: 130 Annamalai N

54:29
Google Tech Talk 1/8/13 Presented by Nigel P. Smart ABSTRACT Multi-Party Computation (MPC) allows, in theory, a set of parties to compute any function on their secret input without revealing anything bar the output of the function. For many years this has been a restricted to a theoretical tool in cryptography. However, in the past five years amazing strides have been made in turning theory into practice. In this talk I will present the latest, practical, protocol called SPDZ (Speedz), which achieves much of its performance advantage from the use of Fully Homomorphic Encryption as a sub-procedure. No prior knowledge of MPC will be assumed. Speaker Info University of Bristol, U.K.

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10:03
This video is useful for students of BTech/BE/Engineering/ BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.

02:21
How to solve 6x ≡ 4 (mod 10) If you want to see how to solve a linear congruence using Euclid's Algorithm, see https://youtu.be/4-HSjLXrfPs
Views: 60780 Maths with Jay

33:40
this video is useful for Bsc maths student and msc maths student and other exams...we upload daily one video so tell us which topic yu want NEXT.......check our channel, we have uploaded many videos ...... do LIKE,SHARE,COMMENT,SUBSCRIBE galois theory part-1 - https://youtu.be/7mAt9q2ofIw galois theory part-2 - https://youtu.be/jMdO_nbBqI4 solvable n nilpotent groups - https://youtu.be/Q8Z1IIAne4Q thanks for watching understanding mathematics

14:09
Views: 905 Harpreet Bedi

07:30
We give a large number of defintions Ref: Part III notes(Burt)
Views: 746 Harpreet Bedi

48:19
Modules and Homomorphisms

03:35
So you first converted between bases, but now there's variables in the way. What a bummer. Learn how to solve for the variable.
Views: 153632 Mike McCraith

20:55
Siavosh Benabbas, Rosario Gennaro, and Yevgeniy Vahlis University of Toronto, Canada; IBM Research, USA; and Columbia University, USA Abstract. We study the problem of computing on large datasets that are stored on an untrusted server. We follow the approach of amortized verifiable computation introduced by Gennaro, Gentry, and Parno in CRYPTO 2010. We present the first practical verifiable computation scheme for high degree polynomial functions. Such functions can be used, for example, to make predictions based on polynomials tted to a large number of sample points in an experiment. In addition to the many noncryptographic applications of delegating high degree polynomials, we use our veriable computation scheme to obtain new solutions for verifiable keyword search, and proofs of retrievability. Our constructions are based on the DDH assumption and its variants, and achieve adaptive security, which was left as an open problem by Gennaro et al (albeit for general functionalities). Our second result is a primitive which we call a verifiable database (VDB). Here, a weak client outsources a large table to an untrusted server, and makes retrieval and update queries. For each query, the server provides a response and a proof that the response was computed correctly. The goal is to minimize the resources required by the client. This is made particularly challenging if the number of update queries is unbounded. We present a VDB scheme based on the hardness of the subgroup membership problem in composite order bilinear groups.
Views: 425 TheIACR

01:53
Views: 4161 Project Rhea

11:24
Views: 2700 Harpreet Bedi

15:47
From the Paar Lectures on cryptography
Views: 834 Project Rhea

49:58
Views: 4838 PHSC Dev. Math

01:46:56
SPEAKER: Francois Rodier TITLE: Asymptotic nonlinearity of Boolean functions ABSTRACT: The nonlinearity of Boolean functions on the space Fm2 is important in cryptography. It is used to measure the strength of cryptosystems when facing linear attacks. In the case low degree of approximation attacks, we examine the nonlinearity of order r of a Boolean function, which equals the number of necessary substitutions in its truth table needed to change it into a function of degree at most r. Studies aimed at the distribution of Boolean functions according to the r-th order nonlinearity. Asymptotically, a lower bound is established in the higher order cases for almost all Boolean functions, whereas a concentration point is shown in the first and second order nonlinearity case. In the case of vectorial Boolean functions, a concentration point is shown in the first order nonlinearity case. SPEAKER: Sorina Ionica TITLE: Pairing-based methods for genus 2 curve jacobians with maximal endomorphism ring ABSTRACT: Algorithms for constructing jacobians of genus 2 curves with nice cryptographic properties involve the computation of Igusa class polynomials for CM quartic fields. The CRT method used to compute these polynomials needs to find first a jacobian with maximal endomorphism ring over a finite field, and then enumerates all others jacobians having maximal endomorphism ring using horizontal isogenies. For $\ell 2$, we use Galois cohomology and the Tate pairing to compute the action of the Frobenius on the $\ell$-torsion. In view of application to Igusa class polynomials computation, we deduce an algorithm to verify whether the jacobian of a genus 2 curve has locally maximal endomorphism ring at $\ell$. Moreover, we derive a method to construct horizontal isogenies starting from a jacobian with maximal endomorphism ring.
Views: 69 Microsoft Research

33:57
In this video we construct the prime fields.
Views: 4332 Ben1994

07:33
This video shows you the method to look for the primitive roots which are useful in to be used in cryptosystem of Discrete Logarithm.
Views: 28451 Steven Wong

13:05
Addition and multiplication table of gf(2), gf(3), gf(5), gf(7). link to my channel- https://www.youtube.com/user/lalitkvashishtha link to data structure and algorithm playlist - https://www.youtube.com/watch?v=GbOW74e4xZE&list=PLLvKknWU7N4y_eGpQdg1Y-hORO7cxtoLU link to information theory and coding techniques playlist - https://www.youtube.com/watch?v=2qJ_mcjKYtk&list=PLLvKknWU7N4yDkIlN4YE-sXfFD4trDf6W link to compiler design playlist - https://www.youtube.com/watch?v=uAVkjTbB7Yc&list=PLLvKknWU7N4zpJWLqk7DXK26JwTB-gFmZ
Views: 6442 Lalit Vashishtha