Math Problem Statement
Suppose you have inadvertently seen part of one of your adversary's plaintext messages, and then intercepted the encrypted transmission of that message. If you know that a Hill cipher was used with a 3 x 3 key, how would you find the key? Try it with the following: "flower" encrypted is BNADMH.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Modular Arithmetic
Cryptography
Formulas
C = K * P mod 26
K = C * P^(-1) mod 26
Theorems
Matrix Inversion in Modular Arithmetic
Hill Cipher Encryption
Suitable Grade Level
University level or advanced high school (Grades 11-12)
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