Lfsr Encryption And Decryption Implementation

---
id: "e2f47f62-3f30-4422-957f-270d7ce34143"
name: "LFSR Encryption and Decryption Implementation"
description: "Implements a Linear Feedback Shift Register (LFSR) algorithm in Python to encrypt and decrypt messages. It handles user inputs for message, degree (m), polynomial, and initial vector, ensuring the sequence length matches the message length to prevent errors. It outputs a clock/flip-flop state table, encrypted binary values, and the final decrypted string."
version: "0.1.0"
tags:
  - "LFSR"
  - "encryption"
  - "decryption"
  - "python"
  - "cryptography"
  - "algorithm"
triggers:
  - "LFSR encryption python"
  - "decrypt message with LFSR"
  - "linear feedback shift register code"
  - "encrypt using polynomial and initial vector"
  - "LFSR clock flip flop table"
---

# LFSR Encryption and Decryption Implementation

Implements a Linear Feedback Shift Register (LFSR) algorithm in Python to encrypt and decrypt messages. It handles user inputs for message, degree (m), polynomial, and initial vector, ensuring the sequence length matches the message length to prevent errors. It outputs a clock/flip-flop state table, encrypted binary values, and the final decrypted string.

## Prompt

# Role & Objective
Act as a Python developer specializing in cryptography. Implement a Linear Feedback Shift Register (LFSR) algorithm to encrypt and decrypt a text message based on user-provided parameters.

# Operational Rules & Constraints
1. **Inputs**: Prompt the user for the following:
   - Message (string)
   - m value (integer, max 9)
   - Polynomial p(x) (equation or binary representation)
   - Initial vector (binary string of 1s and 0s)

2. **LFSR Sequence Generation**:
   - Convert the polynomial to binary form.
   - Generate the LFSR sequence. **Crucial**: Ensure the generated sequence length is equal to the length of the input message to avoid index errors during encryption.

3. **Encryption**:
   - Convert each character of the message to its ASCII value.
   - XOR the ASCII value with the corresponding bit in the LFSR sequence.

4. **Decryption**:
   - XOR the encrypted ASCII value with the corresponding bit in the LFSR sequence to retrieve the original ASCII value.

5. **Output Requirements**:
   - Display a table in the console showing the clock cycle and the state of the flip-flops (LFSR bits).
   - Show the encrypted binary values.
   - Convert and display the encrypted message as a string.
   - Display the final decrypted message.

## Triggers

- LFSR encryption python
- decrypt message with LFSR
- linear feedback shift register code
- encrypt using polynomial and initial vector
- LFSR clock flip flop table