6.3. Alice's public key for a knapsack cryptosystem is M = (5186, 2779, 5955, 2307, 6599, 6771, 6296, 7306, 4115, 7039). Eve intercepts the encrypted message S = 26560. She also breaks into Alice's com puter and steals Alice's secret multiplier A = 4392 and secret modulus B = 8387 Use this information to find Alice's superincreasing private sequencer and ther

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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### 6.3. Alice’s Public Key for a Knapsack Cryptosystem

Alice's public key for a knapsack cryptosystem is:
\[ M = (5186, 2779, 5955, 2307, 6599, 6771, 6296, 7306, 4115, 7039). \]

Eve intercepts the encrypted message \( S = 25650 \). She also breaks into Alice’s computer and steals Alice’s secret multiplier \( A = 4392 \) and secret modulus \( B = 8387 \). Use this information to find Alice’s superincreasing private sequence \( r \) and then decrypt the message.
Transcribed Image Text:### 6.3. Alice’s Public Key for a Knapsack Cryptosystem Alice's public key for a knapsack cryptosystem is: \[ M = (5186, 2779, 5955, 2307, 6599, 6771, 6296, 7306, 4115, 7039). \] Eve intercepts the encrypted message \( S = 25650 \). She also breaks into Alice’s computer and steals Alice’s secret multiplier \( A = 4392 \) and secret modulus \( B = 8387 \). Use this information to find Alice’s superincreasing private sequence \( r \) and then decrypt the message.
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