Assignment Java

Title: Implementation of a hybrid crypto-system.
Description: You are supposed to implement a crypto-system that uses AES and RSA to encrypt a big files effectively.

1. Scheme:
1.1. Generate 8192-bit RSA key-pair, PrivKey, PubKey.
1.2. Generate a random symmetric encryption key K for AES-256.
1.3. Encrypt K by RSA using PKCS #1 padding, RSA_ENC(PubKey, K).
1.4. Encrypt given file INPUT_FILE specified by a file name by AES-256 using generated key K. (You may encounter problem wi
th "strong cryptography" limitations, try to fix it.). Use CBC mode and PKCS7 Padding.
1.5. Output: PrivKey, PubKey, RSA_ENC(PubKey, K), AES(K, INPUT_FILE). Use Base64 encoding to write it to the terminal. Do n
ot forget to include also IV for CBC.

In the same way implement the inverse function, i.e., decryption process.

2. Your task:
2.1. Implement specified encryption/decryption scheme.
2.2. Compute SHA-256 hash of a file http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf
    Note: You don't have to download the file from the web in Java. Download it as you like (e.g., with web browser) and us
e the downloaded file.
2.3. Encrypt file http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf by given scheme.
2.4. Compute SHA-256 hash of a ciphertext (result of the encryption operation).

Result of your assignment will be a ZIP file containing
a) your implementation of a hybrid scheme
b) text files computed SHA-256 hashes from 2.2, 2.4.
c) text file with result from 2.3.

BONUS (2 points): write private key, public key as PEM files.