rsa-attack-techniques

RSA plaintext recovery with a small public exponent and multiple ciphertexts uses the Hastad broadcast attack. By collecting enough ciphertexts encrypted under the same small exponent, you apply a lattice-based method to reconstruct the original message.

Decrypting an RSA ciphertext with an abnormally small private exponent requires the Wiener attack. This cryptanalytic method exploits the mathematical relationship between the public and private exponents to factor the modulus and recover the key.

Selecting the correct RSA attack uses a decision tree based on observable constraints like small exponents, oracle access, or shared factors. This approach routes your specific modulus properties to the appropriate exploit path, such as Coppersmith or padding oracle methods.

SageMath is highly recommended for executing lattice attacks and factorization methods in RSA cryptanalysis. The approach provides ready-to-use Python and Sage-style workflows alongside tools like RsaCtfTool for practical implementation.

Exploiting a padding oracle vulnerability allows RSA ciphertext decryption by sending manipulated ciphertexts to the oracle. By observing the server's error responses, you can iteratively reconstruct the plaintext without knowing the private key.

CRT fault attacks for RSA key recovery apply when implementation errors occur during the Chinese Remainder Theorem signing process. By analyzing the faulty signature output, you can factor the modulus and reconstruct the private key.