'Modular arithmetic' diaporamas de présentation

Number-Theoretic Algorithms

Number-Theoretic Algorithms. Chapter 31, CLRS book. Modular Arithmetic. The Chinese Remainder Problem. A problem described in an ancient Chinese arithmetic book, Sun Tze Suan Ching , by Sun Tze (around 300AD, author of The Art of War ).

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Announcements

Announcements. No Labs / Recitation this week On Friday we will talk about Project 3 Release late afternoon / evening tomorrow Cryptography. Midterm Curve. 0-35 D 36-39 C- 40-50 C 51-55 C+ 56-59 B- 60-68 B 69-74 B+ 75-79 A- 80-100 A. Data Structures. More List Methods

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ECE454/CS594 Computer and Network Security

ECE454/CS594 Computer and Network Security. Dr. Jinyuan (Stella) Sun Dept. of Electrical Engineering and Computer Science University of Tennessee Fall 2011. Public Key Cryptography. Modular Arithmetic RSA Diffie -Hellman Elliptic Curve Cryptography. Public Key Cryptography .

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The Integers and Division

The Integers and Division. Example: Let n and d be positive integers. How many positive integers not exceeding n are divisible by d? Solution: They are of the form {dk}, where k is a positive integer. 0 < dk ? n ? 0 < k ? n/d

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CS322

Week 8 - Friday. CS322. Last time. What did we talk about last time? Relations Reflexive Symmetric Transitive. Questions?. Logical warmup. There are five pirates who wish to divide 100 gold coins These pirates are ranked: Captain Lieutenant Master Midshipman Seaman

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22C:19 Discrete Math Integers and Modular Arithmetic

22C:19 Discrete Math Integers and Modular Arithmetic. Fall 2010 Sukumar Ghosh. Preamble. Historically, number theory has been a beautiful area of study in pure mathematics . However, in modern times, number theory is very important in the area of security .

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Chapter 3 (Part 2): The Fundamentals: Algorithms, the Integers & Matrices

Chapter 3 (Part 2): The Fundamentals: Algorithms, the Integers & Matrices. The Integers and Division (Section 3.4). Introduction Review basics concepts of number theory Divisibility, greatest common divisors, modular arithmetic Computer arithmetic using binary expansions

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Chapter 2 (Part 1): The Fundamentals: Algorithms, the Integers & Matrices

Chapter 2 (Part 1): The Fundamentals: Algorithms, the Integers & Matrices. The Integers and Division (Section 2.4). Introduction Review basics concepts of number theory Divisibility, greatest common divisors, modular arithmetic Computer arithmetic using binary expansions

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CSC2110 Discrete Mathematics Tutorial 5 GCD and Modular Arithmetic

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MA/CSSE 473 Day 05

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Elements of Coding and Encryption

Elements of Coding and Encryption. Encryption. In the modern word, it is crucial that the information is transmitted safely . For example, Internet purchases, bank and credit card electronic transactions must be secure, which means that no confidential information can be lost.

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Gulf Coast Community Foundation STEMsmart Summit

Gulf Coast Community Foundation STEMsmart Summit. State College of Florida Venice Campus. Jim Condor a nd Altay Ozgener. T-Shirt Design. Mathematics + Art. Modular Art. Modular Arithmetic. Mod 4 Arithmetic. Definitions. 0 1 2 3. Definitions.

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Previous Lecture Revision Hashing

Previous Lecture Revision Hashing. Searching : The Main purpose of computer is to store & retrieve Locating for a record is the most time consuming action Methods: Linear Search ( Search for a target element by element) Asymptotic notation is O(n)

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Encryption on the Internet

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computer science

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