Hill Cipher- Potential Cribs for 3x3 Matrix

In summary, the conversation discusses a code created to crack a Hill Cipher with a specific length of 9 letters. The process of cryptanalysis and the use of cribs are mentioned as potential methods for cracking the code. Further information about the source or context of the code may aid in the deciphering process. The use of numbers and the possibility of a modulo 27 are also considered. The request is made to post the full encicode as an ascii.txt file or provide a link to the example online.
  • #1
J6204
56
2

Homework Statement



I've created code to crack a Hill Cipher (n=3).
I'm unsure which cribs to try to crack a specific code.
Would anyone mind posting ideas? The crib must be 9 letters in length.

Homework Equations

The Attempt at a Solution

 

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  • #2
J6204 said:
I've created code to crack a Hill Cipher
Or have you only created code to encrypt and decrypt using the Hill Cipher, given the key? Cracking a code involves cryptanalysis, which identifies the type of cipher employed, then applies statistical tests to identify the probably key, language and message content.

A crib will require knowledge of the sender or situation. What do you know about the source? Do you have any idea of phrases that may have been enciphered in that example? A restriction to only letters, say modulo 26, would mean that numbers must be spelled out in full. If this was an academic exercise then you need to guess at the key or text likely to be chosen for the demonstration. I would start with something as obvious as; “hillcipher”; which unfortunately, has too many letters.

Does the full stop indicate the use of modulo 27?
Please post the full encicode as an ascii.txt file rather than a blur.png
or can you give us a link to this example on the web?
 
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FAQ: Hill Cipher- Potential Cribs for 3x3 Matrix

What is a Hill Cipher and how does it work?

A Hill Cipher is a type of encryption algorithm that uses matrices to encode and decode messages. It works by breaking a message into blocks of letters and converting them into numbers, which are then multiplied by a key matrix. The resulting numbers are converted back into letters to create the encrypted message. To decrypt the message, the inverse of the key matrix is used to multiply the numbers and convert them back into letters.

How is a 3x3 matrix used in the Hill Cipher?

A 3x3 matrix is used in the Hill Cipher to create a 3-letter block for encoding and decoding messages. The matrix is filled with numbers that represent letters in the alphabet (e.g. A=0, B=1, C=2, etc.). The key matrix, which is multiplied with the message blocks, must have an inverse in order for the message to be decrypted correctly.

What are potential cribs and how are they used in the Hill Cipher?

Potential cribs are words or phrases that a cryptanalyst may use to try to decipher an encrypted message. In the Hill Cipher, potential cribs are used to create a known plaintext and ciphertext pair, which can then be used to determine the key matrix. This process is called the known-plaintext attack.

Can the Hill Cipher be broken?

Yes, the Hill Cipher can be broken if the key matrix is known or if there is enough known plaintext and ciphertext pairs. It is also vulnerable to brute force attacks if the key matrix is small enough. However, the Hill Cipher is still considered a relatively strong encryption method compared to simpler ciphers like the Caesar Cipher.

Are there any limitations to the Hill Cipher?

Yes, there are several limitations to the Hill Cipher. It can only be used for messages that can be broken into blocks of 3 letters, and the key matrix must be a 3x3 matrix with an inverse. It is also vulnerable to certain types of attacks, such as the chosen-plaintext attack. Additionally, the key matrix must be kept secret for the encryption to be effective.

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