Transposition Cipher

Introduction to Transposition Ciphers

  • A transposition cipher changes the order of characters to obscure a message without altering the characters themselves.

  • An early example involved wrapping paper around a stick to encrypt messages. When unwrapped, it became unreadable until rewrapped around the same-size stick.

Modern Transposition Cipher Technique

  • A contemporary method uses a grid to reorder characters.

  • Example: Encrypting "Meet at 3:00 P.M. Today at the usual location" using rows of six characters:

    • Create a table with six columns, filling rows left to right:

      • M e e t a t

      • 3 : 0 0 P

      • M . T o d

      • a y a t

      • t h e u

      • s u a l l

      • o c a t i

      • o n .

  • From this table, read vertically to create the encoded message, thus obscuring spaces in the final output to keep the cipher's key hidden.

Decrypting a Message

  • To decrypt a message encrypted with a tabular transposition cipher:

    • Identify the number of characters and divide by the number of characters per row to ascertain the number of rows.

    • For example, with a 32-character message split into four columns, this will yield eight rows.

  • Example decryption steps:

    • Write down characters in the respective columns from the encrypted text, then read off row by row.

    • Original Message Example: "At 11, surveillance on front lines."

Advanced Transposition Ciphers

  • More complex versions specify column reading order after writing the message.

  • For instance, with a specified order of columns, the encryption becomes harder to crack. For example:

    • Keyword-based approach for ordering columns can simplify remembering the method.

  • Example: Using "MATH" as a keyword designating rows of four due to four letters enables structured reading based on alphabetical order of letters:

    • Order columns as 2, 5, 1, 3, 4 based on sorted letters.

Example Encryption Using Key "MAINE"

  • Encrypting: "At 4, surveillance on enemy camp" using keyword "MAINE" (5 letters):

    • Rows of five characters:

      • Each filled with applicable letters and padded (e.g., with 'A').

    • Read columns based on keyword alphabetical order to form encrypted message.

    • When finished, reorganize letters and eliminate spaces.

Example Decryption Using Key "PLAN"

  • Decrypting an example using "PLAN":

    • Convert message into four columns per rows of 20 characters.

    • Determine column completion order via alphabetized key letters.

    • Decrypt by reading rows to retrieve the original message: "At noon, attack base camp."

Limitations of Transposition Ciphers

  • Transposition ciphers maintain letter frequency, making them susceptible to frequency analysis.

  • While they conceal message structure, simplistic frequency patterns can still expose information from letter pairs.

Conclusion

  • Transposition ciphers are useful for obscuring messages by reorganizing characters within a defined structure. The effectiveness can decrease with simpler and more predictable ciphers.