Computer Science

Implement the Tiny Encryption Algorithm (TEA).

a. Use your TEA algorithm to encrypt the 64-bit plaintext block

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0x0123456789ABCDEF

using the 128-bit key

0xA56BABCD00000000FFFFFFFFABCDEF01.

Decrypt the resulting ciphertext and verify that you obtain the original plaintext.

b. Using the key in part a, encrypt and decrypt the following message using each of the three block cipher modes discussed in the text (ECB mode, CBC mode, and CTR mode).

Four score and seven years ago our fathers brought forth on this continent, a new nation, conceived in Liberty, and dedicated to the proposition that all men are created equal.

For the knapsack example given in the text, the ciphertext was not reduced modulo n.

a. Show that for the specific example given in this chapter, the knapsack also works if the ciphertext is reduced modulo n.

b. Show that this is always the case, that is, show that it makes no difference to the recipient whether the ciphertext was reduced modulo n or not.

c. Is either case (reducing the ciphertext modulo n or not) preferable from Trudy’s perspective?

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