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The RSA problem is defined as the task of taking e th roots modulo a composite n: recovering a value m such that c ≡ m e (mod n), where (n, e) is an RSA public key, and c is an RSA ciphertext. Currently the most promising approach to solving the RSA problem is to factor the modulus n .
The RSA private key may have two representations. The first compact form is the tuple (,), where d is the private exponent. The second form has at least five terms (,,,,) , or more for multi-prime keys. Although mathematically redundant to the compact form, the additional terms allow for certain computational optimizations when using the ...
PKCS Standards Summary; Version Name Comments PKCS #1: 2.2: RSA Cryptography Standard [1]: See RFC 8017. Defines the mathematical properties and format of RSA public and private keys (ASN.1-encoded in clear-text), and the basic algorithms and encoding/padding schemes for performing RSA encryption, decryption, and producing and verifying signatures.
PKCS #8 is one of the family of standards called Public-Key Cryptography Standards (PKCS) created by RSA Laboratories. The latest version, 1.2, is available as RFC 5208. [1] The PKCS #8 private key may be encrypted with a passphrase using one of the PKCS #5 standards defined in RFC 2898, [2] which supports multiple encryption schemes.
In cryptography, PKCS #12 defines an archive file format for storing many cryptography objects as a single file. It is commonly used to bundle a private key with its X.509 certificate or to bundle all the members of a chain of trust.
In Windows 2000, XP or later, the user's RSA private key is encrypted using a hash of the user's NTLM password hash plus the user name – use of a salted hash makes it extremely difficult to reverse the process and recover the private key without knowing the user's passphrase. Also, again, setting Syskey to mode 2 or 3 (Syskey typed in during ...
In cryptography, the RSA problem summarizes the task of performing an RSA private-key operation given only the public key. The RSA algorithm raises a message to an exponent, modulo a composite number N whose factors are not known. Thus, the task can be neatly described as finding the e th roots of an arbitrary number, modulo N.
Defined in RFC 2311..p7c - degenerated SignedData "certs-only" structure, without any data to sign. Defined in RFC 2311..p7b - SignedData structure without data, just certificate(s) bundle and/or CRLs (rarely) but not a private key. Uses DER form or BER or PEM that starts with -----BEGIN PKCS7-----. The format used by Windows for certificate ...