Class RSA

java.lang.Object

org.episteme.core.mathematics.cryptography.RSA

public class RSA
extends Object

RSA (Rivest-Shamir-Adleman) public-key cryptography.

Based on difficulty of factoring large semiprimes. Scientific foundation: number theory, modular exponentiation.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	RSA.KeyPair
static class	RSA.PrivateKey
static class	RSA.PublicKey

Constructor Summary

Constructors

Constructor	Description
RSA()

Method Summary

Modifier and Type	Method	Description
static BigInteger	decrypt(BigInteger ciphertext, RSA.PrivateKey privateKey)	Decrypts ciphertext using private key: m = c^d mod n
static BigInteger	encrypt(BigInteger message, RSA.PublicKey publicKey)	Encrypts message using public key: c = m^e mod n
static RSA.KeyPair	generateKeyPair(int bitLength)	Generates RSA key pair.
static BigInteger	sign(BigInteger message, RSA.PrivateKey privateKey)	Signs message using private key.
static boolean	verify(BigInteger message, BigInteger signature, RSA.PublicKey publicKey)	Verifies signature using public key.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

RSA

public RSA()

Method Details

generateKeyPair

public static RSA.KeyPair generateKeyPair(int bitLength)

Generates RSA key pair.

Parameters:

bitLength - key size in bits (e.g., 2048, 4096)

Returns:

public and private keys

encrypt

public static BigInteger encrypt(BigInteger message,
 RSA.PublicKey publicKey)

Encrypts message using public key: c = m^e mod n

decrypt

public static BigInteger decrypt(BigInteger ciphertext,
 RSA.PrivateKey privateKey)

Decrypts ciphertext using private key: m = c^d mod n

sign

public static BigInteger sign(BigInteger message,
 RSA.PrivateKey privateKey)

Signs message using private key.

verify

public static boolean verify(BigInteger message,
 BigInteger signature,
 RSA.PublicKey publicKey)

Verifies signature using public key.