# '1 mod' presentation slideshows

## ACM International Collegiate Programming Contest

ACM International Collegiate Programming Contest. Banff Springs, Alberta April 6 – 10, 2008. Sep. 22 (local) Oct. 6 (Oswego – preliminary) Nov. 10 (RIT – regional final). stefanko@cs.rochester.edu Sep. 11, CBS 601, 4:15pm. Office hours. Instructor office hours (CSB 620)

By milt
(200 views)

By stormy
(460 views)

## Ancient Wisdom: Primes, Continued Fractions, The Golden Ratio, and Euclid’s GCD

Ancient Wisdom: Primes, Continued Fractions, The Golden Ratio, and Euclid’s GCD. Definition: A number > 1 is prime if it has no other factors, besides 1 and itself. Each number can be factored into primes in a unique way. [Euclid].

By walden
(228 views)

## CS/ECE Advanced Network Security Dr. Attila Altay Yavuz

CS/ECE Advanced Network Security Dr. Attila Altay Yavuz. Topic 4 Basic Number Theory Credit: Prof. Dr. Peng Ning. Fall 2014. Outline. GCD Totient (Euler-Phi), relative primes Euclid and Extended Euclid Algorithm Little Fermat, Generalized Fermat Theorem

By thane
(90 views)

## Modular (Remainder) Arithmetic

n = qk + r (for some k; r < k) eg 37 = (2)(17) + 3 Divisibility notation: 17 | 37 - 3. n mod k = r 37 mod 17 = 3. Modular (Remainder) Arithmetic. Sets of Remainders. x -2 (5 – 2) -1 (5 – 1) * 0 1 2 3 4 5 6 7 8. x mod 5 3 4 0 1 2 3 4 0 1 2 3.

By tiva
(1447 views)

## CS 2210:0001Discrete Structures Modular Arithmetic and Cryptography

CS 2210:0001Discrete Structures Modular Arithmetic and Cryptography. Fall 2017 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 .

By omer
(370 views)

## Announcements: Pass in Homework 5 now. Term project groups and topics due by Friday

DTTF/NB479: Dszquphsbqiz Day 22. Announcements: Pass in Homework 5 now. Term project groups and topics due by Friday Can use discussion forum to find teammates HW6 posted Questions? This week: Primality testing, factoring Discrete Logs. 1.

By domani
(138 views)

## RSA Cryptosystem

RSA Cryptosystem. by Drs. Charles Tappert and Ron Frank The information presented here comes primarily from https ://en.wikipedia.org/wiki/RSA_(cryptosystem ) and http://www.math.uchicago.edu/~ may/VIGRE/VIGRE2007/ REUPapers /FINALAPP/Calderbank.pdf. RSA Cryptosystem.

By azura
(131 views)

## DTTF/NB479: Dszquphsbqiz Day 9

DTTF/NB479: Dszquphsbqiz Day 9. Announcements: Homework 2 due now Computer quiz Thursday on chapter 2 Questions? Today: Finish congruences Fermat’s little theorem Euler’s theorem Important for RSA public key crypto – pay careful attention!.

(177 views)

By cerise
(189 views)

By lucine
(56 views)

By tirza
(218 views)

By brandy
(172 views)

By gage
(161 views)

## IS 2150 / TEL 2810 Introduction to Security

IS 2150 / TEL 2810 Introduction to Security. James Joshi Associate Professor, SIS Lecture 7 Oct 20, 2009 Basic Cryptography Network Security. Objectives. Understand/explain/employ the basic cryptographic techniques Review the basic number theory used in cryptosystems Classical system

By abril
(122 views)

## Some Number Theory

Some Number Theory. Modulo Operation: Question: What is 12 mod 9? Answer: 12 mod 9  3 or 12  3 mod 9 Definition: Let a , r , m   (where  is a set of all integers) and m  0. We write a  r mod m if m divides r – a. m is called the modulus.

By feryal
(125 views)

## VIL CRHF from FIL CRHF: adding IV

x[1]. x[2]. …. x[l]. VIL CRHF from FIL CRHF: adding IV. Build VIL CRHF h:{0,1} *  {0,1} m from FIL CRHF c:{0,1} n  {0,1} m 1 st Idea: use iterative process, compressing block by block 2 nd idea: use a fixed IV as first block y 0 =IV {0,1} m

By watson
(85 views)

By tilly
(167 views)

## Authors: K. W. Kim, E. K. Ryu and K. Y. Yoo Authors: K. J. Lee and B. J. Lee

Cryptanalysis of Lee-Lee authenticated key agreement scheme Cryptanalysis of the modified authenticated key agreement scheme. Authors: K. W. Kim, E. K. Ryu and K. Y. Yoo Authors: K. J. Lee and B. J. Lee Source: Applied Mathematics and Computation, 2005 Reporter: Chun-Ta Li ( 李俊達 ). Outline.

By thelma
(140 views)

## Aritmética Computacional

Aritmética Computacional. Francisco Rodríguez Henríquez CINVESTAV e-mail: francisco@cs.cinvestav.mx. Fairy Tale : Chinese Emperor used to count his army by giving a series of tasks. All troops should form groups of 3. Report back the number of soldiers that were not able to do this.

By stacie
(160 views)

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