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$CryptographicEllipticCurveNames
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$CryptographicEllipticCurveNames

[Experimental]

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gives a list of the elliptic curves supported for key generation and digital signatures.

Details

  • $CryptographicEllipticCurveNames enumerates values for the "CurveName" option for GenerateAsymmetricKeyPair, GenerateDigitalSignature and GenerateFileSignature.
  • Supported elliptic curve names include:
  • "prime192v1"NIST/X9.62/SECG curve over a 192-bit prime field
    "prime256v1"X9.62/SECG curve over a 256-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
    "sect163k1"NIST/SECG/WTLS curve over a 163-bit binary field
    "sect163r2"NIST/SECG curve over a 163-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
    "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
  • Supported twisted Edwards curve names include:
  • "ed25519"NIST curve over a 255-bit prime field
    "ed448"NIST curve over a 448-bit prime field

Examples

Basic Examples  (3)Summary of the most common use cases

Get a list of supported elliptic curves:

In[1]:=1
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-br1ch0
Out[1]=1

Create an elliptic curve public and private key pair:

In[2]:=2
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-fud6it
Out[2]=2

GenerateDigitalSignature will automatically use the same curve:

In[3]:=3
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-bhfb0
Out[3]=3

In GenerateDigitalSignature, specify a value of "CurveName" if the key is a set of bytes:

In[1]:=1
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-iny7ql
In[2]:=2
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-djdk65
Out[2]=2

Create an Edwards curve public and private key pair:

In[1]:=1
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-ld4wjp
Out[1]=1

GenerateDigitalSignature will automatically use the same algorithm and curve:

In[2]:=2
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https://wolfram.com/xid/0g01quge4slwepwnyuf0vxv-i90v2q
Out[2]=2
Wolfram Research (2020), $CryptographicEllipticCurveNames, Wolfram Language function, https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html (updated 2021).
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Wolfram Research (2020), $CryptographicEllipticCurveNames, Wolfram Language function, https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html (updated 2021).

Text

Wolfram Research (2020), $CryptographicEllipticCurveNames, Wolfram Language function, https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html (updated 2021).

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Wolfram Research (2020), $CryptographicEllipticCurveNames, Wolfram Language function, https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html (updated 2021).

CMS

Wolfram Language. 2020. "$CryptographicEllipticCurveNames." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html.

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Wolfram Language. 2020. "$CryptographicEllipticCurveNames." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html.

APA

Wolfram Language. (2020). $CryptographicEllipticCurveNames. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html

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Wolfram Language. (2020). $CryptographicEllipticCurveNames. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html

BibTeX

@misc{reference.wolfram_2025_$cryptographicellipticcurvenames, author="Wolfram Research", title="{$CryptographicEllipticCurveNames}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html}", note=[Accessed: 24-April-2025 ]}

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@misc{reference.wolfram_2025_$cryptographicellipticcurvenames, author="Wolfram Research", title="{$CryptographicEllipticCurveNames}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html}", note=[Accessed: 24-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_$cryptographicellipticcurvenames, organization={Wolfram Research}, title={$CryptographicEllipticCurveNames}, year={2021}, url={https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html}, note=[Accessed: 24-April-2025 ]}

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@online{reference.wolfram_2025_$cryptographicellipticcurvenames, organization={Wolfram Research}, title={$CryptographicEllipticCurveNames}, year={2021}, url={https://reference.wolfram.com/language/ref/$CryptographicEllipticCurveNames.html}, note=[Accessed: 24-April-2025 ]}