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Cryptology
Day 3: First look at
computer ciphers
MAT 140: Introduction to the
Mathematical Sciences
19 September 2008

Robert Talbert, PhD
Associate Professor of Mathematics
and Computing Science
rtalbert@franklincollege.edu
Recap of Day 2

• Integer congruence modulo n

• Using integer congruence to make and break shift ciphers

• Idea: Representing text characters as numbers and then
  using math to manipulate them
Unicode

     Worldwide standard for
representing characters from the
keyboard and various languages
       in numerical form
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation
Mat 140 Cryptology Day 3 Presentation

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Mat 140 Cryptology Day 3 Presentation

  • 1. Cryptology Day 3: First look at computer ciphers MAT 140: Introduction to the Mathematical Sciences 19 September 2008 Robert Talbert, PhD Associate Professor of Mathematics and Computing Science rtalbert@franklincollege.edu
  • 2. Recap of Day 2 • Integer congruence modulo n • Using integer congruence to make and break shift ciphers • Idea: Representing text characters as numbers and then using math to manipulate them
  • 3. Unicode Worldwide standard for representing characters from the keyboard and various languages in numerical form