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Contents

Diffie-Hellman key exchange.

Alice and Bob use Diffie-Hellman key exchange to share secrets.  They
start with prime numbers, pick private keys, generate and share public
keys, and then generate a shared secret key.

## Step 0

The test program supplies prime numbers p and g.

## Step 1

Alice picks a private key, a, greater than 1 and less than p.  Bob does
the same to pick a private key b.

## Step 2

Alice calculates a public key A.

    A = g**a mod p

Using the same p and g, Bob similarly calculates a public key B from his
private key b.

## Step 3

Alice and Bob exchange public keys.  Alice calculates secret key s.

    s = B**a mod p

Bob calculates

    s = A**b mod p

The calculations produce the same result!  Alice and Bob now share
secret s.

Version data entries

222 entries across 222 versions & 1 rubygems

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trackler-2.2.1.180 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.179 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.178 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.177 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.176 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.175 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.174 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.173 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.172 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.171 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.170 problem-specifications/exercises/diffie-hellman/description.md
trackler-2.2.1.169 problem-specifications/exercises/diffie-hellman/description.md
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trackler-2.2.1.160 problem-specifications/exercises/diffie-hellman/description.md