Help with this please **Cryptography: Encoding and Decoding Messages using Linear Transformations**In this lesson, we will explore how to encode and decode messages using linear transformations. Specifically, we will work with the function \( f(p) = Ap + b \), which is used to encode a plaintext message. The corresponding decoding process allows us to recover the original message.**Encoding Function:**The encoding function used here is \( f(p) = Ap + b \), where:\[ A = \begin{pmatrix} 3 & 4 \\ 2 & 3 \end{pmatrix} \quad \text{and} \quad b = \begin{pmatrix} 2 \\ 5 \end{pmatrix} \]**Given Ciphertext:**The encoding function has been applied to a message (plaintext), resulting in the following ciphertext:**IJNWAIMUMUCAWTOWQYFDKO.****Objective:**Our goal is to determine the decoding function and use it to retrieve the plaintext message.### Steps to Decode the Message:1. **Inverse the Matrix \( A \):** - Calculate the inverse of matrix \( A \), denoted as \( A^{-1} \), to reverse the transformation applied by \( A \).2. **Formulate the Decoding Function:** - Using the inverse matrix \( A^{-1} \), formulate the decoding function. Given that the original encoding function was \( f(p) = Ap + b \), the decoding function \( g(c) \) can be derived to retrieve the plaintext \( p \): \[ p = A^{-1}(c - b) \]3. **Apply the Decoding Function:** - Apply the decoding function to each pair of characters in the ciphertext to map them back to their plaintext equivalents.By understanding and applying these concepts, we can transform encoded messages back to their original form, thereby deciphering the important information they contain.Please proceed to solve the decoding function and find the plaintext message, using the tools and formulas provided above.

Follow the steps to solve the problem. The solution image is shared in step 2. Step1: The position…

Answered: Determine the decoding function and…

Determine the decoding function and find the plaintext message.

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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