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# Diffie Hellman
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.
## Setup
Go through the setup instructions for ECMAScript to
install the necessary dependencies:
http://exercism.io/languages/ecmascript
## Requirements
Install assignment dependencies:
```bash
$ npm install
```
## Making the test suite pass
Execute the tests with:
```bash
$ npm test
```
In the test suites all tests but the first have been skipped.
Once you get a test passing, you can enable the next one by
changing `xtest` to `test`.
## Source
Wikipedia, 1024 bit key from www.cryptopp.com/wiki. [http://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange](http://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange)
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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