Elliptic Curve Key Generation Example

Accredited Standards Committee X9, American National Standard X9.62-2005, Public Key Cryptography for the Financial Services Industry, The Elliptic Curve Digital Signature Algorithm (ECDSA), November 16, 2005. Certicom Research, Standards for efficient cryptography, SEC 1: Elliptic Curve Cryptography, Version 2.0, May 21, 2009. The primary benefit promised by elliptic curve cryptography is a smaller key size, reducing storage and transmission requirements, i.e. That an elliptic curve group could provide the same level of security afforded by an RSA -based system with a large modulus and correspondingly larger key: for example, a 256-bit elliptic curve public key should provide comparable security to a 3072-bit RSA public key. Feb 13, 2019  ECC popularly used an acronym for Elliptic Curve Cryptography. It is based on the latest mathematics and delivers a relatively more secure foundation than the first generation public key cryptography systems for example RSA. Elliptic Curves. In 1985, cryptographic algorithms were proposed based on elliptic curves.

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Definition

Provides an abstract base class that encapsulates the Elliptic Curve Digital Signature Algorithm (ECDSA).

Elliptic Curve Key Generation Example

Elliptic Curve Key Length

Inheritance
ECDsa
Derived

Remarks

This class serves as the abstract base class for ECDsaCng derivations.

Constructors

ECDsa()

Initializes a new instance of the ECDsa class.

Fields

Elliptic Curve Cryptography Problems

KeySizeValue

Represents the size, in bits, of the key modulus used by the asymmetric algorithm.

(Inherited from AsymmetricAlgorithm)
LegalKeySizesValue

Specifies the key sizes that are supported by the asymmetric algorithm.

(Inherited from AsymmetricAlgorithm)

Properties

Generation
KeyExchangeAlgorithm

Gets the name of the key exchange algorithm.

KeySize

Gets or sets the size, in bits, of the key modulus used by the asymmetric algorithm.

(Inherited from AsymmetricAlgorithm)
LegalKeySizes

Gets the key sizes that are supported by the asymmetric algorithm.

(Inherited from AsymmetricAlgorithm)
SignatureAlgorithm

Gets the name of the signature algorithm.

Methods

Clear()

Releases all resources used by the AsymmetricAlgorithm class.

(Inherited from AsymmetricAlgorithm)
Create()

Creates a new instance of the default implementation of the Elliptic Curve Digital Signature Algorithm (ECDSA).

Create(ECCurve)

Creates a new instance of the default implementation of the Elliptic Curve Digital Signature Algorithm (ECDSA) with a newly generated key over the specified curve.

Create(ECParameters)

Creates a new instance of the default implementation of the Elliptic Curve Digital Signature Algorithm (ECDSA) using the specified parameters as the key.

Create(String)

Creates a new instance of the specified implementation of the Elliptic Curve Digital Signature Algorithm (ECDSA).

Dispose()

Releases all resources used by the current instance of the AsymmetricAlgorithm class.

(Inherited from AsymmetricAlgorithm)
Dispose(Boolean)

Releases the unmanaged resources used by the AsymmetricAlgorithm class and optionally releases the managed resources.

(Inherited from AsymmetricAlgorithm)
Equals(Object)

Determines whether the specified object is equal to the current object.

(Inherited from Object)
ExportECPrivateKey()

Exports the current key in the ECPrivateKey format.

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ExportEncryptedPkcs8PrivateKey(ReadOnlySpan<Byte>, PbeParameters)

Exports the current key in the PKCS#8 EncryptedPrivateKeyInfo format with a byte-based password.

(Inherited from AsymmetricAlgorithm)
ExportEncryptedPkcs8PrivateKey(ReadOnlySpan<Char>, PbeParameters)

Exports the current key in the PKCS#8 EncryptedPrivateKeyInfo format with a char-based password.

(Inherited from AsymmetricAlgorithm)
ExportExplicitParameters(Boolean)

When overridden in a derived class, exports the explicit parameters for an elliptic curve.

ExportParameters(Boolean)

When overridden in a derived class, exports the named or explicit parameters for an elliptic curve. If the curve has a name, the Curve field contains named curve parameters, otherwise it contains explicit parameters.

ExportPkcs8PrivateKey()

Exports the current key in the PKCS#8 PrivateKeyInfo format.

(Inherited from AsymmetricAlgorithm)
ExportSubjectPublicKeyInfo()

Exports the public-key portion of the current key in the X.509 SubjectPublicKeyInfo format.

(Inherited from AsymmetricAlgorithm)
FromXmlString(String)

This method throws in all cases.

GenerateKey(ECCurve)

When overridden in a derived class, generates a new ephemeral public/private key pair for the specified curve, replacing the current key.

GetHashCode()

Serves as the default hash function.

(Inherited from Object)
GetType()

Gets the Type of the current instance.

(Inherited from Object)
HashData(Byte[], Int32, Int32, HashAlgorithmName)

When overridden in a derived class, computes the hash value of the specified portion of a byte array by using the specified hashing algorithm.

HashData(Stream, HashAlgorithmName)

When overridden in a derived class, computes the hash value of the specified binary stream by using the specified hashing algorithm.

ImportECPrivateKey(ReadOnlySpan<Byte>, Int32)

Imports the public/private keypair from an ECPrivateKey structure, replacing the keys for this object.

ImportEncryptedPkcs8PrivateKey(ReadOnlySpan<Byte>, ReadOnlySpan<Byte>, Int32)

Imports the public/private keypair from a PKCS#8 EncryptedPrivateKeyInfo structure after decrypting with a byte-based password, replacing the keys for this object.

ImportEncryptedPkcs8PrivateKey(ReadOnlySpan<Char>, ReadOnlySpan<Byte>, Int32)

Imports the public/private keypair from a PKCS#8 EncryptedPrivateKeyInfo structure after decrypting with a char-based password, replacing the keys for this object.

ImportParameters(ECParameters)

When overridden in a derived class, imports the specified parameters.

ImportPkcs8PrivateKey(ReadOnlySpan<Byte>, Int32)

Imports the public/private keypair from a PKCS#8 PrivateKeyInfo structure after decryption, replacing the keys for this object.

ImportSubjectPublicKeyInfo(ReadOnlySpan<Byte>, Int32)

Imports the public key from an X.509 SubjectPublicKeyInfo structure after decryption, replacing the keys for this object.

MemberwiseClone()

Creates a shallow copy of the current Object.

(Inherited from Object)
SignData(Byte[], HashAlgorithmName)

Computes the hash value of the specified byte array using the specified hash algorithm and signs the resulting hash value.

SignData(Byte[], Int32, Int32, HashAlgorithmName)

Computes the hash value of a portion of the specified byte array using the specified hash algorithm and signs the resulting hash value.

SignData(Stream, HashAlgorithmName)

Computes the hash value of the specified stream using the specified hash algorithm and signs the resulting hash value.

SignHash(Byte[])

Generates a digital signature for the specified hash value.

ToString()

Returns a string that represents the current object.

(Inherited from Object)
ToXmlString(Boolean)

This method throws in all cases.

TryExportECPrivateKey(Span<Byte>, Int32)

Attempts to export the current key in the ECPrivateKey format into a provided buffer.

TryExportEncryptedPkcs8PrivateKey(ReadOnlySpan<Byte>, PbeParameters, Span<Byte>, Int32)

Attempts to export the current key in the PKCS#8 EncryptedPrivateKeyInfo format into a provided buffer, using a byte-based password.

TryExportEncryptedPkcs8PrivateKey(ReadOnlySpan<Char>, PbeParameters, Span<Byte>, Int32)

Attempts to export the current key in the PKCS#8 EncryptedPrivateKeyInfo format into a provided buffer, using a char-based password.

TryExportPkcs8PrivateKey(Span<Byte>, Int32)

Attempts to export the current key in the PKCS#8 PrivateKeyInfo format into a provided buffer.

TryExportSubjectPublicKeyInfo(Span<Byte>, Int32)

Attempts to export the current key in the X.509 SubjectPublicKeyInfo format into a provided buffer.

TryHashData(ReadOnlySpan<Byte>, Span<Byte>, HashAlgorithmName, Int32)

Attempts to compute the hash value of the specified read-only span of bytes into the provided destination by using the specified hashing algorithm.

TrySignData(ReadOnlySpan<Byte>, Span<Byte>, HashAlgorithmName, Int32)

Attempts to compute the ECDSA digital signature for the specified read-only span of bytes into the provided destination by using the specified hashing algorithm and the current key.

TrySignHash(ReadOnlySpan<Byte>, Span<Byte>, Int32)

Attempts to compute the ECDSA digital signature for the specified read-only span of bytes representing a data hash into the provided destination by using the current key.

VerifyData(Byte[], Byte[], HashAlgorithmName)

Verifies that a digital signature is appropriate for the current key and provided data with a specified hash algorithm.

VerifyData(Byte[], Int32, Int32, Byte[], HashAlgorithmName)

Verifies that a digital signature is appropriate for the current key and provided portion of data with a specified hash algorithm.

VerifyData(ReadOnlySpan<Byte>, ReadOnlySpan<Byte>, HashAlgorithmName)

Verifies that a digital signature is appropriate for the current key and provided data with a specified hash algorithm.

VerifyData(Stream, Byte[], HashAlgorithmName)

Verifies that a digital signature is appropriate for the current key and provided data with a specified hash algorithm.

VerifyHash(Byte[], Byte[])

Verifies that a digital signature is appropriate for the current key and provided data hash.

VerifyHash(ReadOnlySpan<Byte>, ReadOnlySpan<Byte>)

Verifies that a digital signature is appropriate for the current key and provided data hash.

Explicit Interface Implementations

IDisposable.Dispose()

For a description of this member, see Dispose().

(Inherited from AsymmetricAlgorithm)

Free Key Generation Software

Applies to

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