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Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure that funds can only be spent by their rightful owners.
This tool is capable of generating key the the curve
"c2pnb272w1", "c2tnb359v1", "prime256v1", "c2pnb304w1", "c2pnb368w1", "c2tnb431r1", "sect283r1", "sect283k1", "secp256r1", "sect571r1", "sect571k1", "sect409r1", "sect409k1", "secp521r1", "secp384r1", "P-521", "P-256", "P-384", "B-409", "B-283", "B-571", "K-409", "K-283", "K-571", "brainpoolp512r1", "brainpoolp384t1", "brainpoolp256r1", "brainpoolp512t1", "brainpoolp256t1", "brainpoolp320r1", "brainpoolp384r1", "brainpoolp320t1", "FRP256v1", "sm2p256v1"
secp256k1 refers to the parameters of the elliptic curve used in Bitcoin’s public-key cryptography, and is defined in Standards for Efficient Cryptography (SEC)
A few concepts related to ECDSA:
Openssl Generating EC Keys and Parameters
$ openssl ecparam -list_curves secp256k1 : SECG curve over a 256 bit prime field secp384r1 : NIST/SECG curve over a 384 bit prime field secp521r1 : NIST/SECG curve over a 521 bit prime field prime256v1: X9.62/SECG curve over a 256 bit prime field
An EC parameters file can then be generated for any of the built-in named curves as follows:
$ openssl ecparam -name secp256k1 -out secp256k1.pem $ cat secp256k1.pem -----BEGIN EC PARAMETERS----- BgUrgQQACg== -----END EC PARAMETERS-----
To generate a private/public key pair from a pre-eixsting parameters file use the following:
$ openssl ecparam -in secp256k1.pem -genkey -noout -out secp256k1-key.pem $ cat secp256k1-key.pem -----BEGIN EC PRIVATE KEY----- MHQCAQEEIKRPdj7XMkxO8nehl7iYF9WAnr2Jdvo4OFqceqoBjc8/oAcGBSuBBAAK oUQDQgAE7qXaOiK9jgWezLxemv+lxQ/9/Q68pYCox/y1vD1fhvosggCxIkiNOZrD kHqms0N+huh92A/vfI5FyDZx0+cHww== -----END EC PRIVATE KEY-----
Examine the specific details of the parameters associated with a particular named curve
$ openssl ecparam -in secp256k1.pem -text -param_enc explicit -noout Field Type: prime-field Prime: 00:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff: ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:fe:ff: ff:fc:2f A: 0 B: 7 (0x7) Generator (uncompressed): 04:79:be:66:7e:f9:dc:bb:ac:55:a0:62:95:ce:87: 0b:07:02:9b:fc:db:2d:ce:28:d9:59:f2:81:5b:16: f8:17:98:48:3a:da:77:26:a3:c4:65:5d:a4:fb:fc: 0e:11:08:a8:fd:17:b4:48:a6:85:54:19:9c:47:d0: 8f:fb:10:d4:b8 Order: 00:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff:ff: ff:fe:ba:ae:dc:e6:af:48:a0:3b:bf:d2:5e:8c:d0: 36:41:41 Cofactor: 1 (0x1)