**EC Cryptography Tutorials - Herong's Tutorial Examples** - v1.03, by Herong Yang

"openssl ecparam -list_curves" - Curves Supported by OpenSSL

This section provides a list of Elliptic Curves supported by OpenSSL.

**What Are Elliptic Curves Supported by OpenSSL?**
Almost every named elliptic curve is supported in the latest version of OpenSSL.

Here is how to get a list of supported elliptic curves by OpenSSL.

herong> openssl version OpenSSL 1.1.1k 25 Mar 2021 herong> openssl ecparam -list_curves secp112r1 : SECG/WTLS curve over a 112 bit prime field secp112r2 : SECG curve over a 112 bit prime field secp128r1 : SECG curve over a 128 bit prime field secp128r2 : SECG curve over a 128 bit prime field secp160k1 : SECG curve over a 160 bit prime field secp160r1 : SECG curve over a 160 bit prime field secp160r2 : SECG/WTLS curve over a 160 bit prime field secp192k1 : SECG curve over a 192 bit prime field secp224k1 : SECG curve over a 224 bit prime field secp224r1 : NIST/SECG curve over a 224 bit prime field 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 prime192v1: NIST/X9.62/SECG curve over a 192 bit prime field prime192v2: X9.62 curve over a 192 bit prime field prime192v3: X9.62 curve over a 192 bit prime field prime239v1: X9.62 curve over a 239 bit prime field prime239v2: X9.62 curve over a 239 bit prime field prime239v3: X9.62 curve over a 239 bit prime field prime256v1: X9.62/SECG curve over a 256 bit prime field sect113r1 : SECG curve over a 113 bit binary field sect113r2 : SECG curve over a 113 bit binary field sect131r1 : SECG/WTLS curve over a 131 bit binary field sect131r2 : SECG curve over a 131 bit binary field sect163k1 : NIST/SECG/WTLS curve over a 163 bit binary field sect163r1 : SECG curve over a 163 bit binary field sect163r2 : NIST/SECG curve over a 163 bit binary field sect193r1 : SECG curve over a 193 bit binary field sect193r2 : SECG curve over a 193 bit binary field sect233k1 : NIST/SECG/WTLS curve over a 233 bit binary field sect233r1 : NIST/SECG/WTLS curve over a 233 bit binary field sect239k1 : SECG curve over a 239 bit binary field sect283k1 : NIST/SECG curve over a 283 bit binary field sect283r1 : NIST/SECG curve over a 283 bit binary field sect409k1 : NIST/SECG curve over a 409 bit binary field sect409r1 : NIST/SECG curve over a 409 bit binary field sect571k1 : NIST/SECG curve over a 571 bit binary field sect571r1 : NIST/SECG curve over a 571 bit binary field c2pnb163v1: X9.62 curve over a 163 bit binary field c2pnb163v2: X9.62 curve over a 163 bit binary field c2pnb163v3: X9.62 curve over a 163 bit binary field c2pnb176v1: X9.62 curve over a 176 bit binary field c2tnb191v1: X9.62 curve over a 191 bit binary field c2tnb191v2: X9.62 curve over a 191 bit binary field c2tnb191v3: X9.62 curve over a 191 bit binary field c2pnb208w1: X9.62 curve over a 208 bit binary field c2tnb239v1: X9.62 curve over a 239 bit binary field c2tnb239v2: X9.62 curve over a 239 bit binary field c2tnb239v3: X9.62 curve over a 239 bit binary field c2pnb272w1: X9.62 curve over a 272 bit binary field c2pnb304w1: X9.62 curve over a 304 bit binary field c2tnb359v1: X9.62 curve over a 359 bit binary field c2pnb368w1: X9.62 curve over a 368 bit binary field c2tnb431r1: X9.62 curve over a 431 bit binary field wap-wsg-idm-ecid-wtls1: WTLS curve over a 113 bit binary field wap-wsg-idm-ecid-wtls3: NIST/SECG/WTLS curve over a 163 bit binary field wap-wsg-idm-ecid-wtls4: SECG curve over a 113 bit binary field wap-wsg-idm-ecid-wtls5: X9.62 curve over a 163 bit binary field wap-wsg-idm-ecid-wtls6: SECG/WTLS curve over a 112 bit prime field wap-wsg-idm-ecid-wtls7: SECG/WTLS curve over a 160 bit prime field wap-wsg-idm-ecid-wtls8: WTLS curve over a 112 bit prime field wap-wsg-idm-ecid-wtls9: WTLS curve over a 160 bit prime field wap-wsg-idm-ecid-wtls10: NIST/SECG/WTLS curve over a 233 bit binary field wap-wsg-idm-ecid-wtls11: NIST/SECG/WTLS curve over a 233 bit binary field wap-wsg-idm-ecid-wtls12: WTLS curve over a 224 bit prime field Oakley-EC2N-3: IPSec/IKE/Oakley curve #3 over a 155 bit binary field. Not suitable for ECDSA. Questionable extension field! Oakley-EC2N-4: IPSec/IKE/Oakley curve #4 over a 185 bit binary field. Not suitable for ECDSA. Questionable extension field! brainpoolP160r1: RFC 5639 curve over a 160 bit prime field brainpoolP160t1: RFC 5639 curve over a 160 bit prime field brainpoolP192r1: RFC 5639 curve over a 192 bit prime field brainpoolP192t1: RFC 5639 curve over a 192 bit prime field brainpoolP224r1: RFC 5639 curve over a 224 bit prime field brainpoolP224t1: RFC 5639 curve over a 224 bit prime field brainpoolP256r1: RFC 5639 curve over a 256 bit prime field brainpoolP256t1: RFC 5639 curve over a 256 bit prime field brainpoolP320r1: RFC 5639 curve over a 320 bit prime field brainpoolP320t1: RFC 5639 curve over a 320 bit prime field brainpoolP384r1: RFC 5639 curve over a 384 bit prime field brainpoolP384t1: RFC 5639 curve over a 384 bit prime field brainpoolP512r1: RFC 5639 curve over a 512 bit prime field brainpoolP512t1: RFC 5639 curve over a 512 bit prime field SM2 : SM2 curve over a 256 bit prime field

Table of Contents

Geometric Introduction to Elliptic Curves

Algebraic Introduction to Elliptic Curves

Abelian Group and Elliptic Curves

Discrete Logarithm Problem (DLP)

Generators and Cyclic Subgroups

tinyec - Python Library for ECC

ECDH (Elliptic Curve Diffie-Hellman) Key Exchange

ECDSA (Elliptic Curve Digital Signature Algorithm)

ECES (Elliptic Curve Encryption Scheme)

What Are Standard Elliptic Curves

►"openssl ecparam -list_curves" - Curves Supported by OpenSSL

"secp256r1" - For 256-Bit ECC Keys

"secp256k1" - For 256-Bit ECC Keys

"sect283r1" - For 256-Bit ECC Keys

"brainpoolP256r1"“ - For 256-Bit ECC Keys