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Lecture05-crypto

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CS 312: Algorithm Analysis Lecture #5: Public-Key Cryptography with RSA This work is licensed under a Creative Commons Attribution-Share Alike 3.0 Unported License. Slides by: Eric Ringger, with contributions from Mike Jones, Eric Mercer, Sean Warnick

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Announcements § HW #3 Due Now § Project #1 § Early: today (by 5pm) § Due: Wednesday (by 5pm) § Holiday: Monday § Next topic: Divide and Conquer § Beginning Wednesday
Objectives § Understand the big picture for cryptography § Introduce Public Key Cryptography § Apply all of our favorite algorithms to define RSA § Understand why RSA is secure

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Punch-Line § RSA § Named after Rivest, Shamir, Adleman § Gives strong guarantees of security § Exploits: § Polynomial time computability of: § Modular Exponentiation – modexp() § Greatest Common Divisor – extended-Euclid() § Fermat Primality Testing – primality2() § Intractability of: § Factoring § Modular root finding
Cryptography

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Cryptography § Past: private key protocols § Exchange codebook § E.g., One-time Pad § E.g., AES (Advanced Encryption Standard) § Present: public key protocols §
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