java rsa encryption decryption example

sure! rsa (rivest-shamir-adleman) is a widely used asymmetric encryption algorithm that relies on the mathematical properties of prime numbers. in rsa, there are two keys: a public key for encryption and a private key for decryption. this makes it particularly useful for secure data transmission.

### overview of rsa

1. **key generation**:
- choose two distinct large prime numbers \( p \) and \( q \).
- compute \( n = p \times q \).
- compute the totient \( \phi(n) = (p-1)(q-1) \).
- choose an integer \( e \) such that \( 1 e \phi(n) \) and \( e \) is coprime to \( \phi(n) \).
- determine \( d \) as \( d \equiv e^{-1} \mod \phi(n) \) (the modular multiplicative inverse of \( e \) modulo \( \phi(n) \)).
- the public key is \( (n, e) \), and the private key is \( (n, d) \).

2. **encryption**:
- convert the plaintext message \( m \) into an integer \( m \) such that \( 0 \leq m n \).
- compute the ciphertext \( c \) using the public key:
\[
c \equiv m^e \mod n
\]

3. **decryption**:
- to retrieve the plaintext, compute:
\[
m \equiv c^d \mod n
\]

### java implementation

#### step 1: add dependencies

#### step 2: java code example

here's a complete example demonstrating rsa encryption and decryption:

### explanation of the code:

1. **key generation**: the `keypairgenerator` is used to generate a pair of keys (public and private).
2. **encryption**: the `encrypt` method initializes a `cipher` instance in encryption mode and encrypts the plaintext.
3. **decryption**: the `decrypt` method initializes a `cipher` instance in decryption mode and decrypts the ciphertext.
4. **hexadecimal conversion**: the `bytestohex` method converts the encrypted byte array into ...

#python decryption tool
#python xor decryption
#python aes decryption
#python rsa decryption
#python encryption-decryption code github

python decryption tool
python xor decryption
python aes decryption
python rsa decryption
python encryption-decryption code github
python decryption
python pgp decryption
python des decryption
python encryption algorithms
python encryption online
python encryption github
python encryption module
python encryption library
python encryption password
python encryption
python encryption program
python encryption tool
python encryption fernet