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Contents

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

174 entries across 174 versions & 1 rubygems

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trackler-2.1.0.18 common/exercises/diffie-hellman/description.md
trackler-2.1.0.17 common/exercises/diffie-hellman/description.md
trackler-2.1.0.16 common/exercises/diffie-hellman/description.md
trackler-2.1.0.15 common/exercises/diffie-hellman/description.md
trackler-2.1.0.14 common/exercises/diffie-hellman/description.md
trackler-2.1.0.13 common/exercises/diffie-hellman/description.md
trackler-2.1.0.12 common/exercises/diffie-hellman/description.md
trackler-2.1.0.11 common/exercises/diffie-hellman/description.md
trackler-2.1.0.10 common/exercises/diffie-hellman/description.md
trackler-2.1.0.9 common/exercises/diffie-hellman/description.md
trackler-2.1.0.8 common/exercises/diffie-hellman/description.md
trackler-2.1.0.7 common/exercises/diffie-hellman/description.md
trackler-2.1.0.6 common/exercises/diffie-hellman/description.md
trackler-2.1.0.5 common/exercises/diffie-hellman/description.md
trackler-2.1.0.4 common/exercises/diffie-hellman/description.md
trackler-2.1.0.3 common/exercises/diffie-hellman/description.md
trackler-2.1.0.2 common/exercises/diffie-hellman/description.md
trackler-2.1.0.1 common/exercises/diffie-hellman/description.md
trackler-2.1.0.0 common/exercises/diffie-hellman/description.md
trackler-2.0.8.55 common/exercises/diffie-hellman/description.md