Hill Cipher Encoding Concepts

Hill Cipher Encoding Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial introduces the Hill Cipher, a method of encryption using matrix math. It explains the two types of Hill Ciphers: 2x2 and 3x3, focusing on the 2x2 version. The process of encoding and decoding messages using a 2x2 Hill Cipher is detailed, including how to multiply matrices and use the inverse of the key. An example is provided, demonstrating the encoding of the word 'Lemonade'. The tutorial concludes with a summary of the steps involved in the encoding process.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is essential for understanding the Hill Cipher?

Trigonometry

Probability

Matrix Math

Calculus

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the numbers in 2x2 and 3x3 Hill Ciphers represent?

The number of steps in the process

The number of letters in the plaintext

The dimensions of the key matrix

The number of possible keys

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 2x2 Hill Cipher, how is the plaintext prepared for encoding?

It is encrypted with a different cipher first

It is converted to binary

It is reversed

It is split into groups of two

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in encoding the word 'lemonade' using a Hill Cipher?

Use a different key for each letter

Convert letters to numbers

Find the inverse of the key

Group letters into threes

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after converting letters to numbers in the Hill Cipher process?

Addition

Subtraction

Matrix Multiplication

Division

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the key matrix by the letter matrices in the Hill Cipher?

Plaintext

Ciphertext

Random text

Unchanged text

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to finalize the encoded numbers in the Hill Cipher?

Exponentiation

Logarithm

Square root

Modulus 26

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