Computers and Technology, 05.05.2020 15:58, gbrightwell

Alice and Bob decide to communicate using NTRUEncrypt with parameters (N, p, q) = (7, 3, 29). Alice’s public key is h(x) = 3 + 14X − 4X2 + 13X3 − 6X4 + 2X5 + 7X6 . Bob sends Alice the plaintext message m(x)= 1+ X − X2 − X3 − X6 using the random element r(x) = −1 + X2 − X5 + X6.

(a) What ciphertext does Bob send to Alice?

(b) Alice’s private key is f(x) = −1 + X − X2 + X4 + X6 and F 3(x)=1+ X + X2 + X4 + X5 − X6. Check your answer in (a) by using f and F 3 to decrypt the message.

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Alice and Bob decide to communicate using NTRUEncrypt with parameters (N, p, q) = (7, 3, 29). Alice’...