RSA homework:

ID number : 55732

Yeaar of birth: 2002

Task 1 Generate your public and private key based on the previously described algorithm. The number e can be found in the data table at the end of this document. Encrypt and then decrypt the numerical mes- sage m, if m= year of your birth. Gather everything needed for this process and record the results in the form below. ID digits Digits from positions 1 to 3 Digits from positions 3 to 5 Sum of columnar digits (possibly 1 column wider if pre- sent 4 digits) The number p from the table of prime numbers, leftmost to the sum of columnar digits. Number q = 3 (selected individually) Number e (given by the tutor) assigned to ID Modulus n =P9 Totient (n) Modular inverse of e: d=e' (mod f(n)) (algorithm B) Plaintext m - the year of your birth Ciphertext c= m (mod n) - (algorithm A) - write down the formula and result with use of your numbers Plaintext m="(mod n) - (algorithm A) - write down the formula and result with use of your numbers Task 1 Generate your public and private key based on the previously described algorithm. The number e can be found in the data table at the end of this document. Encrypt and then decrypt the numerical mes- sage m, if m= year of your birth. Gather everything needed for this process and record the results in the form below. ID digits Digits from positions 1 to 3 Digits from positions 3 to 5 Sum of columnar digits (possibly 1 column wider if pre- sent 4 digits) The number p from the table of prime numbers, leftmost to the sum of columnar digits. Number q = 3 (selected individually) Number e (given by the tutor) assigned to ID Modulus n =P9 Totient (n) Modular inverse of e: d=e' (mod f(n)) (algorithm B) Plaintext m - the year of your birth Ciphertext c= m (mod n) - (algorithm A) - write down the formula and result with use of your numbers Plaintext m="(mod n) - (algorithm A) - write down the formula and result with use of your numbers