Generate Public Key From Private Key

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When openssl generates a public/private key pair, does it first generate private key and then computes public key from private key ? Or should public key be calculated at the same time of the private key ?
Is it possible to have multiple public keys which match to the same private key?
Bob5421
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marc_s
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That depends on the particular crypto system. – President James K. Polk May 4 '20 at 22:36
Not in RSA at least, in fact, you can have one public key with several "different" private keys. In RSA the step is to generate the public key first, then generate the private key afterward. This is because several randomly chosen values are chosen at the start and before the final private key generation, but they're all discarded after generating the private key. Had they were kept, it's possible to redo the step with different values and still use the same public key, but while the resulting private key will look different at first glance, they're mathematically equal. Even if you use algorithms that might create multiple keys, for all intent and purpose, they're the same key, since it will be impossible to infer if a certain key of a set of private keys is used to sign, only that the key is a valid pair for the public key you have.
Also, this seems to be an X-Y question. Even if you find an algorithm that creates multiple public keys for a single private key, since the public key is meant to be, well, public, there's nothing stopping the public from encrypting the same message and observe the identical encrypted result. So you can't have two secretive actors who don't want to be associated to use those keys. As you mention OpenSSL specifically, on SSL you might give different public keys (assuming such algorithm exist, since as I point out it's the reverse in RSA) to different CA or maybe embed them to different apps/device, but since CAs support a single cert serving multiple domains/server, and multiple CAs serving a single domain, there doesn't seem to be any benefit from the current practice.
Martheen
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You said the public key is generated first, but look at this procedure: The private key is generated first: openssl ecparam -genkey -name secp256k1 -rand /dev/urandom -out private.txt && openssl ec -in private.txt -pubout -outform DER|tail -c 65|xxd -p -c 65 > public.txt So i do not understand... – Bob5421 May 3 '20 at 10:39
That's why I said at least in RSA, which is commonly used for SSL. secp256k1 meanwhile is almost exclusively for BTC. If you want multiple public key so you can have different receipt address, see bitcoin.stackexchange.com/questions/68657/… – Martheen May 3 '20 at 14:01
So you mean with rsa public key is generated first then private key ? And for secp256k1 it is the opposite : private first and public then ? – Bob5421 May 3 '20 at 14:26
In ECDSA (where secp256k1 is used), the private key is randomly selected, then and only then, the public key can be calculated. – Martheen May 3 '20 at 14:53
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Steps to generate SSH public key from existing private key using Puttygen:
www.simplified.guide/putty/puttygen-generate-publ…
How to generate the missing public key from the private key?
How to generate the missing public key from the private key?
To generate the missing public key again from the private key, the following command will generate the public key of the private key provided with the -f option. $ ssh-keygen -y -f ~/.ssh/id_rsa > ~/.ssh/id_rsa.pub Enter passphrase: The -y option will read a private SSH key file and prints an SSH public key to stdout.
blog.tinned-software.net/generate-public-s…
How to generate a public SSH key from a private key?
How to generate a public SSH key from a private key?
The -y option will read a private SSH key file and prints an SSH public key to stdout. The public key part is redirected to the file with the same name as the private key but with the .pub file extension. If the key has a password set, the password will be required to generate the public key.
blog.tinned-software.net/generate-public-s…
Can a public key be generated from a private key in RSA?
Can a public key be generated from a private key in RSA?
Not in RSA at least, in fact, you can have one public key with several "different" private keys. In RSA the step is to generate the public key first, then generate the private key afterward.
stackoverflow.com/questions/61570859/ge…
How to generate a public key using OpenSSL?
How to generate a public key using OpenSSL?
To generate public (e,n) key from the private key using openssl you can use the following command: To dissect the contents of the private.pem private RSA key generated by the openssl command above run the following (output truncated to labels here):
stackoverflow.com/questions/5244129/us…
https://blog.tinned-software.net/generate-public-ssh-key-from-private-ssh-key
Перевести · 15.02.2016 · To generate the missing public key again from the private key, the following command will generate the public key of the private key provided with the -f option. $ ssh-keygen -y -f ~/.ssh/id_rsa > ~/.ssh/id_rsa.pub Enter passphrase: The -y option will read a private SSH key file and prints an SSH public key to stdout. The public key part is redirected to the file with the same name as the private key …
https://stackoverflow.com/questions/61570859
Перевести · 02.05.2020 · You said the public key is generated first, but look at this procedure: The private key is generated first: openssl ecparam -genkey -name secp256k1 -rand /dev/urandom -out …
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How to generate SSH Key Pair in Windows using puttygen.exe?
https://www.shellhacks.com/ssh-create-public-key-from-private
Перевести · 29.05.2019 · Usually a public SSH key is generated at the same time as a private key. Unlike a private SSH key, it is acceptable to lose a public key as it can be generated again from a private key at any time. In this small note i am showing how to create a public …
https://kyletk.com/index.php/2018/03/31/openssh-regenerate-public-key-from-private-key
Перевести · 31.03.2018 · It is a simple one liner command to generate a public key from a private key, so lets say our private key is named ‘user@myserver.key’ and we want to generate the public key …
Перевести · 24.01.2020 · Openssl Extracting Public key from Private key RSA. Generate 2048 bit RSA Private/Public key openssl genrsa -out mykey.pem 2048 To just output the public part of a private key: openssl rsa -in mykey.pem -pubout -out pubkey.pem. DSA. Generate DSA Paramaters openssl dsaparam -out dsaparam.pem 2048 From the given Parameter Key Generate …
https://security.stackexchange.com/questions/172274
Перевести · 26.10.2017 · In practice, yes, you can get the public key from the private key. In principle, it would be possible to create an RSA private key from which the corresponding public key cannot be easily obtained, but this would require using both a non-standard key generation method and a non-standard private key …
can I get a public key? It's easy using openssl rsa : $ openssl rsa -in the-private-key-from-your-question.pem -pubout writing RSA key -----BEGIN...
In practice, yes, you can get the public key from the private key. In principle, it would be possible to create an RSA private key from which th...
Yes. It's quite easy too. If you look at RSA specification, a public key needs n and e . A private key might have p q d . Use these to calculate...
if you need it for ssh use this command ssh-keygen -y -f private_key.pem
https://askubuntu.com/questions/53553
Перевести · 17.07.2011 · Press generate and follow instructions to generate (public/private) key pair. Copy your public key data from the "Public key for pasting into OpenSSH authorized_keys file" section of the PuTTY Key Generator, and paste the key …
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