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Search results “Abstract algebra in cryptography degree”
Cyclic Groups  (Abstract Algebra)
 
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
Galois Field Part 1
 
14:46
Learn and understand GF and various operations on elements using polynomial representation
Views: 12820 DrVikasThada
Finite fields made easy
 
08:49
Solutions to some typical exam questions. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Views: 37763 Randell Heyman
Galois Field Part 2
 
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Multiplication and addition tables for GF(2^3), concept of generator in GF and operations using generator.
Views: 5509 DrVikasThada
The Math Major
 
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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
Galois Field {GF(2), GF(3), GF(5), GF(7)}
 
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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
Mod-01 Lec-09 Construction of Finite Fields
 
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
Groups of Permutations
 
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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.
Views: 155485 LadislauFernandes
Mathematics in Cryptography II - Toni Bluher
 
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
Irreducible Polynomials
 
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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
Irreducible Polynomials in GF(2) of degree 1, 2 and 3.
 
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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
EAAEA Chapter 14: Introduction to Cryptography
 
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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
Lecture 37-Algebras(contd...)
 
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Discrete Mathematical Structures
Views: 101240 nptelhrd
Abstract Algebra: The definition of a Ring
 
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
System of congruences, modular arithmetic
 
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
Linear independence and GF(2) - 34C3 CTF software_update (crypto) part 2/2
 
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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
Group Theory - Subgroup in hindi
 
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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.
Group theory - Cyclic Group in hindi
 
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.
Number Theory: Fermat's Little Theorem
 
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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
RNT2.1.1. Finite Fields of Orders 4 and 8
 
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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
Group theory - Lagrange's theorem in hindi
 
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This video is useful for students of BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.
Abstract Algebra: The definition of a Group
 
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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
Group Theory 69, Polynomial Rings
 
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Group Theory 69, Polynomial Rings
Views: 8105 LadislauFernandes
How to Find the Greatest Common Divisor by Using the Euclidian Algorithm
 
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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
Field Theory 1, Extension Fields
 
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Field Theory 1, Extension Fields Please check my list on Abstract Algebra http://www.youtube.com/playlist?list=PLWbnIo7XnOkw7zZu6u3si3at21r534qIM
Views: 9824 LadislauFernandes
Order of Integers and Primitive Roots
 
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This video shows you how to calculate the order of integers and how to find primitive roots.
Views: 15727 Cathy Frey
Euler's formula with introductory group theory
 
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How e to the pi i can be made more intuitive with some perspectives from group theory, and why exactly e^(pi i) = -1. Apply to work at Emerald Cloud Lab: - Application software engineer: http://3b1b.co/ecl-app-se - Infrastructure engineer: http://3b1b.co/ecl-infra-se - Lab focused engineer: http://3b1b.co/ecl-lab-se - Scientific computing engineer: http://3b1b.co/ecl-sci-comp Special thanks to the following Patrons: http://3b1b.co/epii-thanks There's a slight mistake at 13:33, where the angle should be arctan(1/2) = 26.565 degrees, not 30 degrees. Arg! If anyone asks, I was just...er...rounding to the nearest 10's. For those looking to read more into group theory, I'm a fan of Keith Conrads expository papers: http://www.math.uconn.edu/~kconrad/blurbs/ ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 888906 3Blue1Brown
Addition and multiplication of ring of polynomials | Modulo
 
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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.
A Look at Some Higher Level Math Classes | Getting a Math Minor
 
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MajorPrep Merch Store: https://teespring.com/stores/majorprep Join Facebook Group: https://www.facebook.com/groups/majorprep/ Follow MajorPrep on Twitter: https://twitter.com/MajorPrep1 This video goes over some of the extra math classes you can take if you get a math minor. Some of these include... Graph Theory Vector Analysis Topology Numerical Analysis Real Analysis Complex Analysis Abstract Algebra Differential Geometry etc If you want the full list of classes I show in this video you can click the link below. Full List of Required Math Classes: http://catalog.calpoly.edu/collegesandprograms/collegeofsciencemathematics/mathematics/mathematicsminor/ Cutting a Mobius Strip in Half (more detailed explanation): https://www.youtube.com/watch?v=XlQOipIVFPk ►Support the Channel Patreon: https://patreon.com/majorprep PayPal(one time donation): https://www.paypal.me/majorprep ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/majorprep *************************************************** ► For more information on math, science, and engineering majors, check us out at https://majorprep.com Best Ways to Contact Me: Facebook, twitter, or email ([email protected])
Views: 203037 MajorPrep
Possible degrees of an irreducible polynomial over R
 
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https://annamalaimaths.wordpress.com/
Views: 130 Annamalai N
Multi-Party Computation: From Theory to Practice
 
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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.
Views: 9630 GoogleTechTalks
Group Theory - Order of an Element of Group in hindi
 
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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.
Solve a Linear Congruence with common factor
 
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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
GALOIS THEORY PART-3 (APPLICATIONS OF GALOIS THEORY) in hindi
 
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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
Defn Irred Divisors, Linear Equivalence, Divisor class group
 
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We give a large number of defintions Ref: Part III notes(Burt)
Views: 746 Harpreet Bedi
Lecture 8 - Modules and Homomorphisms
 
48:19
Modules and Homomorphisms
Solving Congruence Equations
 
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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
Verifiable Delegation of Computation over Large Datasets (Crypto 2011)
 
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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
Galois Fields Part 1
 
01:53
Views: 4161 Project Rhea
Divisors on Curves
 
11:24
Views: 2700 Harpreet Bedi
Galois fields part 5
 
15:47
From the Paar Lectures on cryptography
Views: 834 Project Rhea
Summer Number Theory Day; Session 3
 
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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
Prime Fields Part 1
 
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In this video we construct the prime fields.
Views: 4332 Ben1994
Primitive Roots
 
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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
Extension of GF(2) to GF(4)
 
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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