Openssl Generate Strong Keys Using Eecdh
An example of using OpenSSL operations to perform a Diffie-Hellmen secret key exchange (DHKE). The goal in DHKE is for two users to obtain a shared secret key, without any other users knowing that key. The exchange is performed over a public network, i.e. all messages sent between the two users can be intercepted and read by any other user. The protocol makes use of modular arithmetic and especially exponentials. The security of the protocol relies on the fact that solving a discrete logarithm (the inverse of an exponential) is practically impossible when large enough values are used.
Wikipedia has a description and example of DHKE. My lecture slides on public key cryptography also include a description. My description of DHKE starts at about 39m 30s into the screencast available on YouTube. It includes a simple example starting at 47m 53s. View below to go straight to the DHKE portion of the lecture.
OpenSSL provides both a library of security operations you can access from your own software, as well as a command line mode. In the past I've given examples of using OpenSSL to generate RSA keys as well as encrypt and sign with RSA. In the following I demonstrate using OpenSSL for DHKE.
Dec 28, 2013 8 thoughts on “ Creating Self-Signed ECDSA SSL Certificate using OpenSSL ” aprogrammer January 13, 2015 at 22:31. Thanks for the post. I found many usefull commands to generate csr, key and self-signed crt on the fly with one command in non-interactive mode. Elliptic-Curve Diffie-Hellman (ECDH) key exchange avoids all known feasible cryptanalytic attacks, and modern web browsers now prefer ECDHE over the original, finite field, Diffie-Hellman. The discrete log algorithms we used to attack standard Diffie-Hellman groups do not gain as strong of an advantage from precomputation, and individual. How to generate keys in PEM format using the OpenSSL command line tools? The JOSE standard recommends a minimum RSA key size of 2048 bits. To generate a 2048-bit RSA private + public key pair for use in RSxxx and PSxxx signatures: openssl genrsa 2048 -out rsa-2048bit-key-pair.pem Elliptic Curve keys. To generate an EC key pair the curve designation must be specified.
- Oct 02, 2019 The sample application shows an example how to generate a key pair into a context ( rsa or ecp ). Once you have the relevant context, you can use this context to write both the public key and the private key in PEM format, using mbedtlspkwritepubkeypem and mbedtlspkwritekeypem.
- Mar 02, 2018 a 256-bit prime field', is the name of an elliptic curve which generates the: parameters. You can use the following command to list all supported curves: openssl ecparam -listcurves: When that is done, you can generate a key using the created parameters (several: keys can be produced from the same parameters): openssl genpkey -des3 -paramfile.
DHKE is performed by two users, on two different computers. For my demo I do everything on one computer. The steps performed by each user are the same, but just with different files. In the following there is user 1 and user 2.
Steps for Diffie-Hellman Key Exchange with OpenSSL
Generate the Diffie-Hellman global public parameters, saving them in the file dhp.pem:
Display the generated global public parameters, first in the encoded form, then in the text form:
Each user now uses the public parameters to generate their own private and public key, saving them in the file dhkey1.pem (for user 1) and dhkey2.pem (for user 2):
The other user uses the same public parameters, dhp.pem, to generate their private/public key:
The users must exchange their public keys. First extract the public key into the file dhpub1.pem (and similar user 2 creates dh2pub.pem - this step is not shown below):
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After exchanging public keys, i.e. the files dhpub1.pem and dhpub2.pem, each user can derive the shared secret. User 1 performs the following to output the secret, a 128 Byte binary value into the file secret1.bin:
The other user does the same using their private key and user 1's public key to produce secret2.bin:
The secrets should be the same:
PDF version of this page, 27 Jan 2013
Created on Sun, 27 Jan 2013, 1:24pm
Openssl Dh Key
Last changed on Mon, 03 Nov 2014, 10:46am