Class-5-24-10 - MODERN CRYPTOGRAPHY next MODERN...

Info icon This preview shows pages 1–19. Sign up to view the full content.

View Full Document Right Arrow Icon
MODERN CRYPTOGRAPHY next
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
MODERN CRYPTOGRAPHY 2. The opponent has access to any amount of corresponding Plaintext - Ciphertext pairs 3. The opponent may have access to the key used in the encrypting transformation E (M) = C k 1. The opponent knows the system being used 4. Security is to be achieved by the opponent not being able to construct the decrypting transformation D (C) = M k next
Image of page 2
THE EULER PHI FUNCTION next
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
THE EULER FERMAT THEOREM Example This number is a prime Amazing?? next
Image of page 4
Sample Problems 3 next
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Prove the basic principle an use it to next
Image of page 6
next
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
next
Image of page 8
HOW IT IS USED 1. Bob chooses two large primes p and q and computes m= p x q 2. Bob picks an encrypting exponent e 4. Bob computes the decrypting exponent d BOB m and e public p q and secret 5. Alice to send a message 1 < M < m to Bob computes 6. Bob to decrypt C computes next
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
WHY DOES IT WORK? RECALL EULER FERMAT ?
Image of page 10
Image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 12
Image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 14
Image of page 15

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 16
Image of page 17

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 18
Image of page 19
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern