Question: undefined 4. Suppose Bob sends the same message m(x) to Alice twice using the NTRU system, with two different ephemeral keys r and r2, and

undefined 4. Suppose Bob sends the same message m(x) to Alice twiceundefined

4. Suppose Bob sends the same message m(x) to Alice twice using the NTRU system, with two different ephemeral keys r and r2, and all other data the same: e1(x) = ph(x)r(x) +m(x) Rq ez(x) = ph(x)r2(x) +m(x) E Rq Suppose that Eve intercepts the information en and e2, as well as the standard public data (N, p,q,d,h). (a) How can Eve (probably) reconstruct some portion of the coefficients of r? (b) Suppose Eve knows r1 exactly. How can she figure out m(x)? 4. Suppose Bob sends the same message m(x) to Alice twice using the NTRU system, with two different ephemeral keys r and r2, and all other data the same: e1(x) = ph(x)r(x) +m(x) Rq ez(x) = ph(x)r2(x) +m(x) E Rq Suppose that Eve intercepts the information en and e2, as well as the standard public data (N, p,q,d,h). (a) How can Eve (probably) reconstruct some portion of the coefficients of r? (b) Suppose Eve knows r1 exactly. How can she figure out m(x)

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