CRYPTOGRAPHY קריפטוגרפיה Thu 15:45-18:15.

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Presentation transcript:

CRYPTOGRAPHY קריפטוגרפיה Thu 15:45-18:15

TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAA

The Crypto “Race of Arms” (3761 BC - 1976) “Secure” System+ “Secure” System “Secure” System++ “Break” “Break++” “Break+” Traditional crypto: 8 attack 9defense Modern crypto: 9 defense 8attack

How is This possible? Rely on computational intractability. “problems that computers cannot solve” PROVE that “break” -> “solve hard problem” For example, FACTORING: Given: N = PQ Find: P,Q What are the factors of 15? What are the factors of 1763? (hint: 41,43)

Basis of EVERY electronic transaction on the web! What are the factors of 25195908475657893494 027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357 ? RSA-2048 (617 digits, $200K) Basis of EVERY electronic transaction on the web!

Alice and Bob – A Love Tale

Alice and Bob – A Love Tale Protocols Zero-knowledge proofs Secure computation Encryption Authentication Digital signatures

Is it a Hard Course? No Harder than Algorithms/Complexity. Basic math. Rich in (beautiful) concepts.