package rsa Import Path crypto/rsa (on golang.org and go.dev) Dependency Relation imports 10 packages, and imported by 2 packagesInvolved Source Files pkcs1v15.go pss.go Package rsa implements RSA encryption as specified in PKCS #1 and RFC 8017. RSA is a single, fundamental operation that is used in this package to implement either public-key encryption or public-key signatures. The original specification for encryption and signatures with RSA is PKCS #1 and the terms "RSA encryption" and "RSA signatures" by default refer to PKCS #1 version 1.5. However, that specification has flaws and new designs should use version 2, usually called by just OAEP and PSS, where possible. Two sets of interfaces are included in this package. When a more abstract interface isn't necessary, there are functions for encrypting/decrypting with v1.5/OAEP and signing/verifying with v1.5/PSS. If one needs to abstract over the public key primitive, the PrivateKey type implements the Decrypter and Signer interfaces from the crypto package. The RSA operations in this package are not implemented using constant-time algorithms.Package-Level Type Names (total 7)CRTValue contains the precomputed Chinese remainder theorem values. // R·Coeff ≡ 1 mod Prime. // D mod (prime-1). // product of primes prior to this (inc p and q).OAEPOptions is an interface for passing options to OAEP decryption using the crypto.Decrypter interface. Hash is the hash function that will be used when generating the mask. Label is an arbitrary byte string that must be equal to the value used when encrypting.PKCS1v15DecrypterOpts is for passing options to PKCS #1 v1.5 decryption using the crypto.Decrypter interface. SessionKeyLen is the length of the session key that is being decrypted. If not zero, then a padding error during decryption will cause a random plaintext of this length to be returned rather than an error. These alternatives happen in constant time.CRTValues is used for the 3rd and subsequent primes. Due to a historical accident, the CRT for the first two primes is handled differently in PKCS #1 and interoperability is sufficiently important that we mirror this. // D mod (P-1) (or mod Q-1) // D mod (P-1) (or mod Q-1) // Q^-1 mod PA PrivateKey represents an RSA key // private exponent Precomputed contains precomputed values that speed up private operations, if available. // prime factors of N, has >= 2 elements. // public part. // public exponent // modulus Decrypt decrypts ciphertext with priv. If opts is nil or of type *PKCS1v15DecryptOptions then PKCS #1 v1.5 decryption is performed. Otherwise opts must have type *OAEPOptions and OAEP decryption is done. Equal reports whether priv and x have equivalent values. It ignores Precomputed values. Precompute performs some calculations that speed up private key operations in the future. Public returns the public key corresponding to priv. Sign signs digest with priv, reading randomness from rand. If opts is a *PSSOptions then the PSS algorithm will be used, otherwise PKCS #1 v1.5 will be used. digest must be the result of hashing the input message using opts.HashFunc(). This method implements crypto.Signer, which is an interface to support keys where the private part is kept in, for example, a hardware module. Common uses should use the Sign* functions in this package directly. Size returns the modulus size in bytes. Raw signatures and ciphertexts for or by this public key will have the same size. Validate performs basic sanity checks on the key. It returns nil if the key is valid, or else an error describing a problem. *T : crypto.Decrypter *T : crypto.Signer func GenerateKey(random io.Reader, bits int) (*PrivateKey, error) func GenerateMultiPrimeKey(random io.Reader, nprimes int, bits int) (*PrivateKey, error) func crypto/x509.ParsePKCS1PrivateKey(der byte) (*PrivateKey, error) func DecryptOAEP(hash hash.Hash, random io.Reader, priv *PrivateKey, ciphertext byte, label byte) (byte, error) func DecryptPKCS1v15(rand io.Reader, priv *PrivateKey, ciphertext byte) (byte, error) func DecryptPKCS1v15SessionKey(rand io.Reader, priv *PrivateKey, ciphertext byte, key byte) error func SignPKCS1v15(rand io.Reader, priv *PrivateKey, hash crypto.Hash, hashed byte) (byte, error) func SignPSS(rand io.Reader, priv *PrivateKey, hash crypto.Hash, digest byte, opts *PSSOptions) (byte, error) func crypto/x509.MarshalPKCS1PrivateKey(key *PrivateKey) bytePSSOptions contains options for creating and verifying PSS signatures. Hash is the hash function used to generate the message digest. If not zero, it overrides the hash function passed to SignPSS. It's required when using PrivateKey.Sign. SaltLength controls the length of the salt used in the PSS signature. It can either be a number of bytes, or one of the special PSSSaltLength constants. HashFunc returns opts.Hash so that PSSOptions implements crypto.SignerOpts. *T : crypto.SignerOpts func SignPSS(rand io.Reader, priv *PrivateKey, hash crypto.Hash, digest byte, opts *PSSOptions) (byte, error) func VerifyPSS(pub *PublicKey, hash crypto.Hash, digest byte, sig byte, opts *PSSOptions) errorA PublicKey represents the public part of an RSA key. // public exponent // modulus Equal reports whether pub and x have the same value. Size returns the modulus size in bytes. Raw signatures and ciphertexts for or by this public key will have the same size. func crypto/x509.ParsePKCS1PublicKey(der byte) (*PublicKey, error) func EncryptOAEP(hash hash.Hash, random io.Reader, pub *PublicKey, msg byte, label byte) (byte, error) func EncryptPKCS1v15(rand io.Reader, pub *PublicKey, msg byte) (byte, error) func VerifyPKCS1v15(pub *PublicKey, hash crypto.Hash, hashed byte, sig byte) error func VerifyPSS(pub *PublicKey, hash crypto.Hash, digest byte, sig byte, opts *PSSOptions) error func crypto/x509.MarshalPKCS1PublicKey(key *PublicKey) bytePackage-Level Functions (total 11)DecryptOAEP decrypts ciphertext using RSA-OAEP. OAEP is parameterised by a hash function that is used as a random oracle. Encryption and decryption of a given message must use the same hash function and sha256.New() is a reasonable choice. The random parameter, if not nil, is used to blind the private-key operation and avoid timing side-channel attacks. Blinding is purely internal to this function – the random data need not match that used when encrypting. The label parameter must match the value given when encrypting. See EncryptOAEP for details.DecryptPKCS1v15 decrypts a plaintext using RSA and the padding scheme from PKCS #1 v1.5. If rand != nil, it uses RSA blinding to avoid timing side-channel attacks. Note that whether this function returns an error or not discloses secret information. If an attacker can cause this function to run repeatedly and learn whether each instance returned an error then they can decrypt and forge signatures as if they had the private key. See DecryptPKCS1v15SessionKey for a way of solving this problem.DecryptPKCS1v15SessionKey decrypts a session key using RSA and the padding scheme from PKCS #1 v1.5. If rand != nil, it uses RSA blinding to avoid timing side-channel attacks. It returns an error if the ciphertext is the wrong length or if the ciphertext is greater than the public modulus. Otherwise, no error is returned. If the padding is valid, the resulting plaintext message is copied into key. Otherwise, key is unchanged. These alternatives occur in constant time. It is intended that the user of this function generate a random session key beforehand and continue the protocol with the resulting value. This will remove any possibility that an attacker can learn any information about the plaintext. See ``Chosen Ciphertext Attacks Against Protocols Based on the RSA Encryption Standard PKCS #1'', Daniel Bleichenbacher, Advances in Cryptology (Crypto '98). Note that if the session key is too small then it may be possible for an attacker to brute-force it. If they can do that then they can learn whether a random value was used (because it'll be different for the same ciphertext) and thus whether the padding was correct. This defeats the point of this function. Using at least a 16-byte key will protect against this attack.EncryptOAEP encrypts the given message with RSA-OAEP. OAEP is parameterised by a hash function that is used as a random oracle. Encryption and decryption of a given message must use the same hash function and sha256.New() is a reasonable choice. The random parameter is used as a source of entropy to ensure that encrypting the same message twice doesn't result in the same ciphertext. The label parameter may contain arbitrary data that will not be encrypted, but which gives important context to the message. For example, if a given public key is used to decrypt two types of messages then distinct label values could be used to ensure that a ciphertext for one purpose cannot be used for another by an attacker. If not required it can be empty. The message must be no longer than the length of the public modulus minus twice the hash length, minus a further 2.EncryptPKCS1v15 encrypts the given message with RSA and the padding scheme from PKCS #1 v1.5. The message must be no longer than the length of the public modulus minus 11 bytes. The rand parameter is used as a source of entropy to ensure that encrypting the same message twice doesn't result in the same ciphertext. WARNING: use of this function to encrypt plaintexts other than session keys is dangerous. Use RSA OAEP in new protocols.GenerateKey generates an RSA keypair of the given bit size using the random source random (for example, crypto/rand.Reader).GenerateMultiPrimeKey generates a multi-prime RSA keypair of the given bit size and the given random source, as suggested in . Although the public keys are compatible (actually, indistinguishable) from the 2-prime case, the private keys are not. Thus it may not be possible to export multi-prime private keys in certain formats or to subsequently import them into other code. Table 1 in  suggests maximum numbers of primes for a given size.  US patent 4405829 (1972, expired)  http://www.cacr.math.uwaterloo.ca/techreports/2006/cacr2006-16.pdfSignPKCS1v15 calculates the signature of hashed using RSASSA-PKCS1-V1_5-SIGN from RSA PKCS #1 v1.5. Note that hashed must be the result of hashing the input message using the given hash function. If hash is zero, hashed is signed directly. This isn't advisable except for interoperability. If rand is not nil then RSA blinding will be used to avoid timing side-channel attacks. This function is deterministic. Thus, if the set of possible messages is small, an attacker may be able to build a map from messages to signatures and identify the signed messages. As ever, signatures provide authenticity, not confidentiality.SignPSS calculates the signature of digest using PSS. digest must be the result of hashing the input message using the given hash function. The opts argument may be nil, in which case sensible defaults are used. If opts.Hash is set, it overrides hash.VerifyPKCS1v15 verifies an RSA PKCS #1 v1.5 signature. hashed is the result of hashing the input message using the given hash function and sig is the signature. A valid signature is indicated by returning a nil error. If hash is zero then hashed is used directly. This isn't advisable except for interoperability.VerifyPSS verifies a PSS signature. A valid signature is indicated by returning a nil error. digest must be the result of hashing the input message using the given hash function. The opts argument may be nil, in which case sensible defaults are used. opts.Hash is ignored.Package-Level Variables (total 3)ErrDecryption represents a failure to decrypt a message. It is deliberately vague to avoid adaptive attacks.ErrMessageTooLong is returned when attempting to encrypt a message which is too large for the size of the public key.ErrVerification represents a failure to verify a signature. It is deliberately vague to avoid adaptive attacks.Package-Level Constants (total 2)PSSSaltLengthAuto causes the salt in a PSS signature to be as large as possible when signing, and to be auto-detected when verifying.PSSSaltLengthEqualsHash causes the salt length to equal the length of the hash used in the signature.
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