RSAKeyValue

RSAKeyValue is a data structure used in cryptography to represent an RSA key pair, which consists of a public key and a private key. The RSA algorithm is widely used for secure data transmission and is based on the mathematical difficulty of factoring large integers. The RSAKeyValue structure is typically used in XML-based formats, such as XML Signature and XML Encryption standards, to encode RSA keys for use in digital signatures and encryption.

The RSAKeyValue structure includes the following elements:

Modulus (n): A large integer that is the product of two distinct prime numbers, p and q. The modulus is used in both the public and private keys.

Exponent (e): A positive integer that is relatively prime to the totient of the modulus. The exponent is used in the public key for encryption and in the private key for decryption.

D (d): A positive integer that is the modular multiplicative inverse of the exponent e modulo the totient of the modulus. The D value is used in the private key for decryption.

P (p): One of the prime factors of the modulus. The P value is used in the private key for decryption.

Q (q): The other prime factor of the modulus. The Q value is used in the private key for decryption.

DP (dp): The modular multiplicative inverse of the exponent e modulo p-1. The DP value is used in the private key for decryption.

DQ (dq): The modular multiplicative inverse of the exponent e modulo q-1. The DQ value is used in the private key for decryption.

InverseQ (iq): The modular multiplicative inverse of q modulo p. The InverseQ value is used in the private key for decryption.

The RSAKeyValue structure is used to encode RSA keys in a standardized format, making it easier to exchange keys between different systems and applications. The structure is defined in the XML Signature and XML Encryption standards, which are widely used in web services and other applications that require secure data transmission.