
Golang RSA key generation is a crucial step in securing your applications, and it's surprisingly easy to do.
To generate an RSA key in Golang, you can use the `crypto/rsa` package, which provides functions for key generation, encryption, and decryption.
The `GenerateKey` function in the `crypto/rsa` package generates a new RSA key pair with a specified key size.
A key size of 2048 bits is a good starting point for most applications, but you can adjust it to suit your needs.
In Golang, RSA keys are represented as a pair of integers, the public exponent and the modulus.
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Key Generation
Key Generation is a crucial step in creating RSA keys. You can use the crypto/rsa standard library for generating keys, and the crypto/rand library for generating random numbers.
To generate a key pair, you'll need to create a new RSA private key and then extract the public key from it. You can use the rsa.GenerateKey function to generate a new RSA private key with a specified bit size, such as 2048 bits.
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The GenerateKey function generates a random RSA private key of the given bit size. If the bit size is less than 1024, it returns an error. Most applications should use crypto/rand.Reader as the random source.
Here are some key facts about key generation:
- Use crypto/rand.Reader as the random source for most applications.
- The bit size should be at least 1024 for most applications.
- The GenerateKey function generates a random RSA private key of the given bit size.
The GenerateKeyPair method uses the GenerateKey method of the crypto/rsa package to generate a key pair. It then converts the pair to RsaPrivateKeyParameters and RsaPublicKeyParameters helper classes and exports them as JSON strings.
Generate
To generate a key, you can use the crypto/rand.Reader as rand, which is recommended for most applications. This is because the returned key does not depend deterministically on the bytes read from rand.
The GenerateKey function generates a random RSA private key of a given bit size. It returns an error if the bit size is less than 1024.
You can use the crypto/rsa standard library to generate keys, and the crypto/rand library to generate random numbers. This combination is commonly used for key generation.
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The GenerateKeyPair method uses the GenerateKey method of the crypto/rsa package, passing an instance of rand reader and a key size between 1024 and 4096.
Here's a summary of the key generation process:
Note that the key size should be between 1024 and 4096 bits for the GenerateKeyPair method.
Generate Multi Prime
Generate Multi Prime is not recommended for security, compatibility, and performance reasons. This is because the private keys generated are not compatible with the 2-prime case.
Table 1 in "On the Security of Multi-prime RSA" suggests maximum numbers of primes for a given bit size.
The public keys generated by GenerateMultiPrimeKey are compatible with the 2-prime case, but the private keys are not. This may cause issues when trying to export or import the keys.
The package does not implement CRT optimizations for multi-prime RSA, which means keys with more than two primes will have worse performance.
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Private Equal in 1.15
In Go 1.15, the Private key has a new method called Equal.
The Equal method reports whether two private keys have equivalent values, but it ignores precomputed values.
This means that if two private keys have the same value but different precomputed values, the Equal method will still return true.
This change in the Private key's behavior is significant for developers who need to compare private keys.
Precompute (*PrivateKey)
Precompute (*PrivateKey) is a method that performs some calculations to speed up private key operations in the future.
Precompute is safe to run on non-validated private keys, so you can use it even if you haven't validated your key yet.
This method is specifically designed to run faster on valid keys if run after PrivateKey.Precompute, making it a good idea to use it as part of your key generation process.
Running Precompute can help speed up your private key operations, making your code more efficient and easier to work with.
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Key Properties
In Go, RSA keys have a public and private part. The public part of an RSA key, represented by the PublicKey type, is not confidential and can potentially leak through side channels or be mathematically derived from other public values.
A PublicKey represents the public part of an RSA key, which includes the values of N and E. These values are not considered confidential, as they can be derived from other public values.
The size of a public key is determined by its modulus size in bytes. This size will be the same for raw signatures and ciphertexts created with or by this public key.
Minimum Size
The minimum size of a key is a crucial aspect of key properties. GenerateKey returns an error if a key of less than 1024 bits is requested. Such keys are insecure and should not be used.
You should aim for a key size of at least 1024 bits to ensure secure encryption and decryption. The rsa1024min=0 GODEBUG setting can suppress this error, but it's recommended to do so only in tests, if necessary.
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Private *Public
Private keys and public keys are closely related, and understanding their connection is crucial for secure encryption and decryption.

A private key is used to decrypt data that was encrypted with a corresponding public key. This is the opposite of public keys, which are used to encrypt data that can only be decrypted with the corresponding private key.
In Go lang, the `Public` function of the `PrivateKey` struct returns the public key corresponding to the private key. This is a built-in function that comes with the Go lang standard library.
The `Public` function is a convenient way to get the public key from a private key, and it's often used in cryptographic operations.
Here's a brief summary of the relationship between private keys and public keys:
In certain programming languages like Go lang, you can use libraries like OpenSSL to generate RSA private/public key pairs and store them in files.
Public
Public keys are an essential part of RSA cryptography, and understanding their properties is crucial for secure key management.
A Public key represents the public part of an RSA key.

In Go lang, you can get the public key corresponding to a private key using the Public function, which was added in Go 1.4. This function returns a PublicKey object that represents the public key.
The values of N and E are not considered confidential, and may leak through side channels, or could be mathematically derived from other public values.
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Encryption
Encryption is a crucial aspect of RSA in Go. To encrypt a message, you can use the EncryptOAEP method, which requires a hashing function, a random reader, the public key, and the message itself.
A suitable hashing function for this purpose is SHA256, as it produces a completely different output even with slight changes to the input. The random reader is used to generate random bits, ensuring that the same input doesn't result in the same output twice.
The EncryptOAEP method also allows for an optional label, which can contain arbitrary data that won't be encrypted but provides important context to the message. This can be useful if you're encrypting different types of messages with the same public key.
The message itself must be no longer than the length of the public modulus minus twice the hash length, minus two. This ensures that the encryption process is secure and efficient.
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EncryptOAEP
EncryptOAEP is a method for encrypting messages using RSA-OAEP. It requires a few inputs to produce the encrypted bytes.
The SHA256 algorithm is a suitable hashing function for EncryptOAEP, as it produces a completely different output even if the input is changed slightly.
A random reader is necessary for generating random bits to ensure that the same input doesn't give the same output twice. crypto/rand.Reader is a suitable choice for this purpose.
The public key generated previously is also a required input for EncryptOAEP. The message to be encrypted must be provided as well.
The label parameter may contain arbitrary data that gives context to the message, but it's optional and can be left empty if not required.
Here are the required inputs for EncryptOAEP:
- Hashing function (e.g. SHA256)
- Random reader (e.g. crypto/rand.Reader)
- Public key
- Message to be encrypted
- Optional label
The length of the message must be no longer than the length of the public modulus minus twice the hash length, minus a further 2.
Encrypt Pkcs1v15
Encrypting a message with RSA and the padding scheme from PKCS #1 v1.5 is a secure way to protect sensitive information.
The EncryptPKCS1v15 function is specifically designed for this purpose, but be aware that it has some limitations. The message must be no longer than the length of the public modulus minus 11 bytes.
Using this function to encrypt plaintexts other than session keys is not recommended, as it can be dangerous. RSA OAEP is a more secure alternative that should be used in new protocols.
To ensure the encryption is secure, a source of entropy is required, such as crypto/rand.Reader. This helps prevent the same message from being encrypted to the same ciphertext twice.
Decrypt Pkcs1v15
Decrypt PKCS1v15 is a function in Go's crypto package that decrypts a plaintext using RSA and the padding scheme from PKCS #1 v1.5.
This function is legacy and should be avoided for new code. However, it's still useful for compatibility with existing protocols like TLS.
The random parameter is ignored and can be nil.
Note that whether this function returns an error or not discloses secret information. This is a problem because an attacker can cause this function to run repeatedly and learn whether each instance returned an error.
This can be used to decrypt and forge signatures as if they had the private key. To solve this problem, you can use DecryptPKCS1v15SessionKey.
Here are some references to learn more about the security issues with DecryptPKCS1v15:
- “Chosen Ciphertext Attacks Against Protocols Based on the RSA Encryption Standard PKCS #1”, Daniel Bleichenbacher, Advances in Cryptology (Crypto '98)
- RFC 3218, Preventing the Million Message Attack on CMS, https://www.rfc-editor.org/rfc/rfc3218.html
Signing
Signing is a crucial aspect of RSA in Go. It's used to assert authenticity, rather than confidentiality, which means it's about verifying the sender of a message, not hiding the message itself.
The SignPSS function calculates the signature of a digest using PSS, and it's randomized depending on the message, key, and salt size, using bytes from rand. Most applications should use crypto/rand.Reader as rand.
To sign a message, you need the private key, and the Sign function will use the PSS algorithm if you provide a *PSSOptions, otherwise it will use PKCS #1 v1.5. The digest must be the result of hashing the input message using the given hash function.
Signing is different from encryption, and anyone who has the signature, the message, and the public key can use RSA verification to make sure the message actually came from the party who issued the public key. If the data or signature don't match, the verification process fails.
The SignPKCS1v15 function calculates the signature of hashed using RSASSA-PKCS1-V1_5-SIGN, and it's deterministic, meaning if you have a small set of possible messages, an attacker may be able to build a map from messages to signatures and identify the signed messages.
Verification
Verification is a crucial aspect of RSA in Golang. The VerifyPKCS1v15 method verifies an RSA PKCS #1 v1.5 signature, returning a nil error for a valid signature.
A valid signature is indicated by returning a nil error. The inputs are not considered confidential, and may leak through timing side channels, or if an attacker has control of part of the inputs. This method implements crypto.Signer, which is an interface to support keys where the private part is kept in, for example, a hardware module.
The VerifyPSS method verifies a PSS signature, ignoring the opts.Hash argument if it's nil. A valid signature is indicated by returning a nil error. The digest must be the result of hashing the input message using the given hash function.
Validate Private
Validating your private key is a crucial step in the verification process. It performs basic sanity checks on the key to ensure it's in a good state.

The Validate function returns nil if the key is valid, or else an error describing a problem. This is a simple but essential check to run before proceeding.
Running Validate after PrivateKey.Precompute can actually make it run faster on valid keys. This is a nice optimization to keep in mind when working with private keys.
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Verify Pkcs1v15
Verification is a crucial aspect of cryptography, and one of the most widely used methods is RSA PKCS #1 v1.5. The VerifyPKCS1v15 function is specifically designed to verify an RSA PKCS #1 v1.5 signature.
It takes two inputs: hashed, which is the result of hashing the input message using a given hash function, and sig, which is the signature itself. A valid signature is indicated by returning a nil error.
The inputs are not considered confidential, and may leak through timing side channels, or if an attacker has control of part of the inputs. This is a critical consideration when implementing this function.
This method implements crypto.Signer, an interface to support keys where the private part is kept in, for example, a hardware module.
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Verify PSS

Verification is a crucial process in cryptography, and one of the most important methods is PSS verification. A valid PSS signature is indicated by returning a nil error.
To verify a PSS signature, you need to hash the input message using the given hash function, and the result should be passed to the VerifyPSS function. The opts argument can be nil, in which case sensible defaults are used.
The VerifyPSS function ignores the opts.Hash argument, so you don't need to worry about setting it. This makes the verification process simpler and more straightforward.
The verification process is designed to ensure that the message actually came from the party who issued the public key. If the data or signature don't match, the verification process fails.
In practice, this means that anyone with the public key can verify a signature, but only the party with the private key can create a signature. This is a fundamental aspect of public-key cryptography.
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Crypto Libraries
The Go lang standard libraries have a rich set of cryptography functions that we'll be using.
Go lang's crypto/rsa package implements RSA encryption as specified in PKCS #1 and RFC 8017. This package is a great resource for anyone looking to work with RSA encryption in Go.
The crypto/rsa package provides a function called GenerateKey that generates an RSA keypair of a given bit size using a random source. The GenerateKey function takes two parameters: random io.Reader and bits int.
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Crypto Libraries in Lang
The Go language has a rich set of cryptography functions in its standard libraries.
These functions are incredibly useful for working with encryption and decryption in Go.
The crypto/x509 package is a great place to start, as it contains functions like MarshalPKCS1PrivateKey and MarshalPKCS1PublicKey.
These functions convert RSA private and public keys to PKCS #1, ASN.1 DER form, which is commonly encoded in PEM blocks.
The MarshalPKCS1PrivateKey function converts an RSA private key to PKCS #1, ASN.1 DER form, while the MarshalPKCS1PublicKey function does the same for public keys.
Both of these functions are essential for working with RSA keys in Go.
Crypto Rand
Crypto Rand is a global, shared instance of a cryptographically secure random number generator.
The Reader variable is used to access this instance, and it's a crucial component in many cryptographic applications.
On Linux systems, Reader uses getrandom(2) if available, which is a more secure way to generate random numbers.
If getrandom(2) is not available, Reader falls back to /dev/urandom, which is still a reliable source of randomness.
Examples and Usage
Golang RSA is a powerful tool for encrypting and decrypting data. You can use it to securely transmit sensitive information over the internet.
To create a new RSA key pair, you can use the `crypto/rsa` package and the `NewKeyPair` function, which generates a key pair with a specified key size. The default key size is 2048 bits.
The `rsa.PublicKey` type represents an RSA public key, which can be used to encrypt data. You can create a new `rsa.PublicKey` object using the `&rsa.PublicKey{N: n, E: e}` syntax, where `n` is the modulus and `e` is the exponent.
To encrypt data with an RSA public key, you can use the `Encrypt` method, which takes a byte slice as input and returns the encrypted byte slice. The `Encrypt` method uses the RSA public key to encrypt the input data.
The `rsa.PrivateKey` type represents an RSA private key, which can be used to decrypt data. You can create a new `rsa.PrivateKey` object using the `&rsa.PrivateKey{N: n, E: e, D: d}` syntax, where `n` is the modulus, `e` is the exponent, and `d` is the private exponent.
To decrypt data with an RSA private key, you can use the `Decrypt` method, which takes a byte slice as input and returns the decrypted byte slice. The `Decrypt` method uses the RSA private key to decrypt the input data.
You can use the `rsa.OAEP` type to encrypt data with Optimal Asymmetric Encryption Padding (OAEP). This is a secure encryption method that provides additional protection against attacks.
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