Welcome to Course 2 of Introduction to Applied Cryptography. In this course, you will be introduced to basic mathematical principles and functions that form the foundation for cryptographic and cryptanalysis methods. These principles and functions will be helpful in understanding symmetric and asymmetric cryptographic methods examined in Course 3 and Course 4. These topics should prove especially useful to you if you are new to cybersecurity. It is recommended that you have a basic knowledge of computer science and basic math skills such as algebra and probability.
이 강좌는 Introduction to Applied Cryptography 특화 과정의 일부입니다.
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다음 특화 과정의 4개 강좌 중 2번째 강좌:
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영어
자막: 아랍어, 프랑스어, 포르투갈어 (유럽), 이탈리아어, 베트남어, 독일어, 러시아어, 영어, 스페인어
유연한 마감일
일정에 따라 마감일을 재설정합니다.
공유 가능한 수료증
완료 시 수료증 획득
100% 온라인
지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
다음 특화 과정의 4개 강좌 중 2번째 강좌:
초급 단계
완료하는 데 약 14시간 필요
영어
자막: 아랍어, 프랑스어, 포르투갈어 (유럽), 이탈리아어, 베트남어, 독일어, 러시아어, 영어, 스페인어
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강의 계획표 - 이 강좌에서 배울 내용
완료하는 데 4시간 필요
Integer Foundations
Building upon the foundation of cryptography, this module focuses on the mathematical foundation including the use of prime numbers, modular arithmetic, understanding multiplicative inverses, and extending the Euclidean Algorithm. After completing this module you will be able to understand some of the fundamental math requirement used in cryptographic algorithms. You will also have a working knowledge of some of their applications.
완료하는 데 4시간 필요
5개 동영상 (총 60분), 10 개의 읽기 자료, 2 개의 테스트
완료하는 데 4시간 필요
Modular Exponentiation
A more in-depth understanding of modular exponentiation is crucial to understanding cryptographic mathematics. In this module, we will cover the square-and-multiply method, Eulier's Totient Theorem and Function, and demonstrate the use of discrete logarithms. After completing this module you will be able to understand some of the fundamental math requirement for cryptographic algorithms. You will also have a working knowledge of some of their applications.
완료하는 데 4시간 필요
4개 동영상 (총 51분), 9 개의 읽기 자료, 2 개의 테스트
완료하는 데 3시간 필요
Chinese Remainder Theorem
The modules builds upon the prior mathematical foundations to explore the conversion of integers and Chinese Remainder Theorem expression, as well as the capabilities and limitation of these expressions. After completing this module, you will be able to understand the concepts of Chinese Remainder Theorem and its usage in cryptography.
완료하는 데 3시간 필요
3개 동영상 (총 25분), 5 개의 읽기 자료, 2 개의 테스트
완료하는 데 4시간 필요
Primality Testing
Finally we will close out this course with a module on Trial Division, Fermat Theorem, and the Miller-Rabin Algorithm. After completing this module, you will understand how to test for an equality or set of equalities that hold true for prime values, then check whether or not they hold for a number that we want to test for primality.
완료하는 데 4시간 필요
3개 동영상 (총 36분), 8 개의 읽기 자료, 3 개의 테스트
검토
MATHEMATICAL FOUNDATIONS FOR CRYPTOGRAPHY의 최상위 리뷰
AS 제공2020년 5월 1일
I enrolled for this course because Number Theory is my area of interest. This course has helped me to spend my time effectively during this lockdown period. Thank you Coursera.
PC 제공2021년 2월 19일
Very interesting course which is starting to be challenging to the occasional student and throws the basis for real comprehnsion of facts always accepet as true.
SM 제공2020년 5월 21일
It was an awesome course, I found the idea of cryptography deeply. After 10 years I fullfilled one of my dream.
VT 제공2020년 7월 28일
The course content and the assignments were quite meticulously designed and delivered efficiently.
Introduction to Applied Cryptography 특화 과정 정보
Cryptography is an essential component of cybersecurity. The need to protect sensitive information and ensure the integrity of industrial control processes has placed a premium on cybersecurity skills in today’s information technology market. Demand for cybersecurity jobs is expected to rise 6 million globally by 2019, with a projected shortfall of 1.5 million, according to Symantec, the world’s largest security software vendor. According to Forbes, the cybersecurity market is expected to grow from $75 billion in 2015 to $170 billion by 2020. In this specialization, students will learn basic security issues in computer communications, classical cryptographic algorithms, symmetric-key cryptography, public-key cryptography, authentication, and digital signatures. These topics should prove useful to those who are new to cybersecurity, and those with some experience.
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