Key

How to generate keys in PEM formatusing the OpenSSL command line tools?

RSA keys

(RSA key generation can be viewed as a process that takes in a random bitstream and outputs, with probability approaching 1 over time, an RSA key pair. To deterministically derive an RSA key based on a passphrase, you'd need to specify every detail of the key generation algorithm itself, so that changes to the algorithm cannot change the output. RSA (Rivest–Shamir–Adleman) is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone. The other key must be kept private. RSA private key generation essentially involves the generation of two prime numbers. When generating a private key various symbols will be output to indicate the progress of the generation. Represents each number which has passed an initial sieve test, + means a number has passed a single round of the Miller-Rabin primality test. Apr 25, 2016 密碼學-密碼分析與實驗(第三版) 使用cryptool 2產生1024-bit RSA金鑰之φ(n), public-key exponent e, private.

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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 PSxxxsignatures:

Elliptic Curve keys

To generate an EC key pair the curve designation must be specified. Note thatJOSE ESxxx signatures require P-256, P-384 and P-521 curves (see theircorresponding OpenSSL identifiers below).

Elliptic Curve private + public key pair for use with ES256 signatures:

Key generator for wingeeker tool rental. Elliptic Curve private + public key pair for use with ES384 signatures:

Cryptool 1

Elliptic Curve private + public key pair for use with ES512 signatures:

PEM key parsing in Java

The BouncyCastle library provides a simpleutility to parse PEM-encoded keys in Java, to use them for JWS or JWE later.

For Maven you should include the following BouncyCastle dependencies (where1.52 is the latest stable version as of May 2015):

Example parsing of an PEM-encoded EC key in Java:

On Sat, Jan 28, 2017 at 4:58 PM, Frank Migge
<[hidden email]> wrote:

Cryptool Download Free

Hi Mithun,
>> I have a embedded board P1010 RDB running openssl on VXWORKS 5.4 .
>> I am generating RSA 2048 and 3072 bit key pairs.
>> I am providing entropy to openssl by using RAND_seed from a HW RNG.
>> My average generation time for RSA 2048 key pair is 2 Minutes and 3072 is 8 minutes.
I noticed embedded board key generation times vary by OS and OpenSSL version after converting a Altera Atlas FPGA SoC HPS from original 2013 Yocto Linux to latest Ubuntu. Under the old Yocto, key generation occasionally took up to 2 minutes. Same board under Ubuntu 16.04, 2048 RSA keys take consistently 2-5 seconds, while 3072 keys need around 8-16 seconds. Even running the system single core, the numbers don't change (on a low utilized system, using OS built-in /dev/urandom).
While I am on a different CPU and OS (32bit ARM v7 900Mhz dual core, 1GB 400Mhz RAM), your e500 PowerPC can't be to far behind. Your numbers seem to be off by a magnitude. You mentioned using a external HW RNG, could that be it?

Cheers,
Frank
Wednesday, January 25, 2017 1:10 AM
I'm afraid you will have to look at the OpenSSL source code, I haven't
paid much attention to that CPU recently.
Enjoy
Jakob
Monday, January 23, 2017 4:09 PM
Hi Jakob,
Can you please give me some reference/example of bignum optimization which I can check on powerpc architectures.

Cryptool 1.4.41

Is this any specific instruction set addition? or something more generic?
Thanks & Regards

Wednesday, January 18, 2017 1:08 AM

I believe this is a CPU intensive operation (if VxWorks can do
this, try observing the CPU load during).
Potential improvements:
1. Check if the CPU specific bignum optimizations for your CPU
variant have been enabled via the libcrypto CPU detection code
(for example, there are optimizations for different ARM cortex
variants).
2. Faster CPU (expensive obviously).
3. Do the generation in the background before the keypair is
needed, at a time when the extra CPU load is less of a problem.
Enjoy
Jakob
Tuesday, January 17, 2017 3:44 PM
Hi
I have a embedded board P1010 RDB running openssl on VXWORKS 5.4 .
I am providing entropy to openssl by using RAND_seed from a HW RNG.
My average generation time for RSA 2048 key pair is 2 Minutes and 3072 is 8 minutes.

Mithun

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