# How can I do elliptic curve crypto with OpenSSL?

I’ve previously looked at doing asymmetric crypto with `openssl`

using the `genrsa`

, `rsa`

, and `rsautl`

commands. This uses RSA, which is one way to do asymmetric crypto. An alternative way is elliptic-curve crypto (ECC), and `openssl`

has commands for ECC too.

Here’s how Alice and Bob generate their private keys and extract public keys from them:

```
# Alice generates her private key
openssl ecparam -name secp256k1 -genkey -noout -out alice_priv_key.pem
# Alice extracts her public key from her private key
openssl ec -in alice_priv_key.pem -pubout -out alice_pub_key.pem
```

(Here, we choose the curve `secp256k1`

. There are many to choose from.)

However, there are no tools for encrypting and decrypting! ECC doesn’t define these directly. Instead, ECC users use *Diffie-Hellman (DH) key exchange* to compute a shared secret, then communicate using that shared secret. This combination of ECC and DH is called ECDH.

See Alice and Bob derive their shared secret:

```
$ openssl pkeyutl -derive -inkey alice_priv_key.pem -peerkey bob_pub_key.pem -out alice_shared_secret.bin
$ openssl pkeyutl -derive -inkey bob_priv_key.pem -peerkey alice_pub_key.pem -out bob_shared_secret.bin
$ base64 alice_shared_secret.bin
BvqYFmmnn7s9M8bOrO0YDmBHs1sBIAtz5/0mmCQY5/8=
$ base64 bob_shared_secret.bin
BvqYFmmnn7s9M8bOrO0YDmBHs1sBIAtz5/0mmCQY5/8=
```

Notice Alice’s shared secret file is the same as Bob’s. They can now use this shared secret to communicate using any symmetric crypto. For example:

```
$ echo 'I love you Bob' > plain.txt
$ openssl enc -aes256 -base64 -k $(base64 alice_shared_secret.bin) -e -in plain.txt -out cipher.txt
$ openssl enc -aes256 -base64 -k $(base64 bob_shared_secret.bin) -d -in cipher.txt -out plain_again.txt
$ cat plain_again.txt
I love you Bob
```

### More by Jim

- The inception bar: a new phishing method
- The hacker hype cycle
- Project C-43: the lost origins of asymmetric crypto
- How Hacker News stays interesting
- My parents are Flat-Earthers
- The dots do matter: how to scam a Gmail user
- The sorry state of OpenSSL usability
- I hate telephones
- The Three Ts of Time, Thought and Typing: measuring cost on the web
- Granddad died today
- Your syntax highlighter is wrong

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