Acerca de este Curso
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100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel principiante

Aprox. 16 horas para completar

Sugerido: 4 weeks, 2-5 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Griego

Habilidades que obtendrás

Number TheoryCryptographyModular Exponentiation

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel principiante

Aprox. 16 horas para completar

Sugerido: 4 weeks, 2-5 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Griego

Programa - Qué aprenderás en este curso

Semana
1
4 horas para completar

Modular Arithmetic

10 videos (Total 90 minutos), 4 readings, 13 quizzes
10 videos
Problems6m
Divisibility Tests5m
Division by 212m
Binary System11m
Modular Arithmetic12m
Applications7m
Modular Subtraction and Division11m
4 lecturas
Python Code for Remainders5m
Slides1m
Slides1m
Slides1m
12 ejercicios de práctica
Divisibility15m
Remainders10m
Division by 45m
Four Numbers10m
Division by 10110m
Properties of Divisibility10m
Divisibility Tests8m
Division by 24m
Binary System8m
Modular Arithmetic8m
Remainders of Large Numbers10m
Modular Division10m
Semana
2
4 horas para completar

Euclid's Algorithm

7 videos (Total 78 minutos), 4 readings, 7 quizzes
7 videos
Least Common Multiple8m
Diophantine Equations: Examples5m
Diophantine Equations: Theorem15m
Modular Division12m
4 lecturas
Greatest Common Divisor: Code15m
Extended Euclid's Algorithm: Code10m
Slides1m
Slides10m
7 ejercicios de práctica
Greatest Common Divisor10m
Tile a Rectangle with Squares20m
Least Common Multiple10m
Least Common Multiple: Code15m
Diophantine Equations15m
Diophantine Equations: Code20m
Modular Division: Code20m
Semana
3
4 horas para completar

Building Blocks for Cryptography

14 videos (Total 91 minutos), 4 readings, 6 quizzes
14 videos
Existence of Prime Factorization2m
Euclid's Lemma4m
Unique Factorization9m
Implications of Unique Factorization10m
Remainders7m
Chinese Remainder Theorem7m
Many Modules5m
Fast Modular Exponentiation10m
Fermat's Little Theorem7m
Euler's Totient Function6m
Euler's Theorem4m
4 lecturas
Slides10m
Slides10m
Fast Modular Exponentiation7m
Slides10m
5 ejercicios de práctica
Integer Factorization20m
Remainders8m
Chinese Remainder Theorem: Code15m
Fast Modular Exponentiation: Code20m
Modular Exponentiation8m
Semana
4
5 horas para completar

Cryptography

9 videos (Total 67 minutos), 4 readings, 2 quizzes
9 videos
RSA Cryptosystem14m
Simple Attacks5m
Small Difference5m
Insufficient Randomness7m
Hastad's Broadcast Attack8m
More Attacks and Conclusion5m
4 lecturas
Many Time Pad Attack10m
Slides10m
Randomness Generation10m
Slides and External References10m
2 ejercicios de práctica
RSA Quiz: Code2h
RSA Quest - Quiz6m
4.6
28 revisionesChevron Right

50%

comenzó una nueva carrera después de completar estos cursos

40%

consiguió un beneficio tangible en su carrera profesional gracias a este curso

Principales revisiones sobre Number Theory and Cryptography

por PWNov 22nd 2018

I was really impressed especially with the RSA portion of the course. It was really well explained, and the programming exercise was cleverly designed and implemented. Well done.

por LJan 2nd 2018

A good course for people who have no basic background in number theory , explicit clear explanation in RSA algorithm. Overall,a good introduction course.

Instructores

Avatar

Alexander S. Kulikov

Visiting Professor
Department of Computer Science and Engineering
Avatar

Michael Levin

Lecturer
Computer Science
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Vladimir Podolskii

Associate Professor
Computer Science Department

Acerca de Universidad de California en San Diego

UC San Diego is an academic powerhouse and economic engine, recognized as one of the top 10 public universities by U.S. News and World Report. Innovation is central to who we are and what we do. Here, students learn that knowledge isn't just acquired in the classroom—life is their laboratory....

Acerca de National Research University Higher School of Economics

National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more. Learn more on www.hse.ru...

About the Programa especializado Introduction to Discrete Mathematics for Computer Science

Discrete Math is needed to see mathematical structures in the object you work with, and understand their properties. This ability is important for software engineers, data scientists, security and financial analysts (it is not a coincidence that math puzzles are often used for interviews). We cover the basic notions and results (combinatorics, graphs, probability, number theory) that are universally needed. To deliver techniques and ideas in discrete mathematics to the learner we extensively use interactive puzzles specially created for this specialization. To bring the learners experience closer to IT-applications we incorporate programming examples, problems and projects in our courses....
Introduction to Discrete Mathematics for Computer Science

Preguntas Frecuentes

  • Una vez que te inscribes para obtener un Certificado, tendrás acceso a todos los videos, cuestionarios y tareas de programación (si corresponde). Las tareas calificadas por compañeros solo pueden enviarse y revisarse una vez que haya comenzado tu sesión. Si eliges explorar el curso sin comprarlo, es posible que no puedas acceder a determinadas tareas.

  • Cuando te inscribes en un curso, obtienes acceso a todos los cursos que forman parte del Programa especializado y te darán un Certificado cuando completes el trabajo. Se añadirá tu Certificado electrónico a la página Logros. Desde allí, puedes imprimir tu Certificado o añadirlo a tu perfil de LinkedIn. Si solo quieres leer y visualizar el contenido del curso, puedes auditar el curso sin costo.

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