Encrypt the plain text"hopeless" using playfair cipher. Use Z and P as...
Playfair Cipher:
The Playfair cipher is a symmetric encryption technique that uses a 5x5 grid of letters to encrypt and decrypt messages. It is named after Lord Playfair, who promoted its use in the military. The cipher works by dividing the message into pairs of letters and then encrypting each pair based on their positions in the grid.
Key Steps:
1. Generate the Playfair cipher grid.
2. Divide the plaintext into pairs of letters.
3. Encrypt each pair using the Playfair cipher grid.
Generating the Playfair Cipher Grid:
To generate the Playfair cipher grid, we start with a keyword and add the remaining letters of the alphabet (excluding duplicates) in order. In this case, the keyword is "HOPELESS".
The Playfair cipher grid would be:
H O P E L
S A B C D
F G I K M
N Q R T U
V W X Y Z
Dividing the Plaintext:
The plaintext "hopeless" is divided into pairs of letters: "HO", "PE", "LE", "SS".
Encrypting Using the Playfair Cipher Grid:
We encrypt each pair of letters using the Playfair cipher grid.
1. "HO":
- The letter "H" is located at row 1, column 1.
- The letter "O" is located at row 1, column 2.
- We encrypt the pair by using the following rules:
- If the letters are in the same row, we replace each letter with the letter to its right (circularly).
- If the letters are in the same column, we replace each letter with the letter below it (circularly).
- If the letters are in different rows and columns, we form a rectangle and replace each letter with the letter in the opposite corner of the rectangle.
- Therefore, "HO" would be encrypted as "PL".
2. "PE":
- The letter "P" is located at row 1, column 3.
- The letter "E" is located at row 1, column 4.
- Using the same rules as above, "PE" would be encrypted as "BX".
3. "LE":
- The letter "L" is located at row 1, column 5.
- The letter "E" is located at row 1, column 4.
- "LE" would be encrypted as "EM".
4. "SS":
- The letter "S" is located at row 2, column 1.
- The letter "S" is located at row 2, column 1.
- Since the letters are the same, we insert a dummy character to break the repetition rule.
- "SS" would be encrypted as "SP".
Final Encrypted Text:
After encrypting each pair, the plaintext "hopeless" would be encrypted as "PLBXEMSP".