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Class-6-2-10 - α k and then compute α-k V = α-k α k X =...

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next Primitive roots mod p
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next Primitive roots and Cyclotomic Polynomials p=3 p=5 p=7 p=11 p=13 p=17 p=19 THE MOEBIUS FUNCTION
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Getting them all from one next 6
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next A public key exchange system The key common to p3 and p6 is 9 = 10 ( ) ( )
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(authentification) next
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SECURITY next
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THE EL GAMAL CRYPTOSYSTEM BOB ALICE EVE p r PUBLIC α β = r a r b = k V = α k X U = r k BOB ALICE ( U, V ) the message! r - a = r p - 1 - a α = r a a discrete logarithm problem! U = r k a discrete logarithm problem! next no Berlekamp needed here
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Unformatted text preview: α k and then compute α-k V = α-k α k X = X DIGITAL SIGNATURES next = X e b , ( X d i ) e b Let m i = p i q i < m b Zero Knowledge and how it is used in smart cards next A Challenge response protocol next R L Right! Left! Right! Left! Left! BOB and ALICE next R L Right! Left! Right! Left! Left! BOB and EVE R L Back to Mathematics next Alice claims to know a square root s of y...
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