Tool to decrypt/encrypt with a transposition. A transposition cipher, also called columns permutation, is a technique to change the order of the letters in a text by placing it in a grid.

Transposition Cipher - dCode

Tag(s) : Transposition Cipher

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Tool to decrypt/encrypt with a transposition. A transposition cipher, also called columns permutation, is a technique to change the order of the letters in a text by placing it in a grid.

**Transposition** cipher encryption consists of writing the plaint text in an array and then arranging the columns of this array according to a defined permutation. If there are empty boxes, fill them with a neutral letter (such as X or another letter more frequent).

The permutation key is a series of numbers (which can be generated from a word) that indicates the order in which the columns are arranged.

Example: The word KEY is used to generate the permutation 2,1,3:

Before alphabetical sorting | After alphabetical sorting | |

Keyword | K,E,Y | E,K,Y |

Order of columns | 1,2,3 | 2,1,3 |

Example: Encrypt DCODE with the key KEY (permutation 2,1,3).

Columns | 1,2,3 | Columns sorted | 2,1,3 |

Plaintext | D,C,O | Ciphertext | C,D,O |

D,E,X | E,D,X |

The encrypted message consists of the table after swapping the columns in the order of the key.

Example: The encrypted message is CDOEDX

Some variants read the table in column and not by row, in this case the message encrypted with a column reading would be CEDDOX

**Transposition** cipher decryption is identical to encryption except that the order of the columns is changed.

Example: A permutation 2,1,3 has been used to get the message CDOEDX (read by row):

Columns | 2,1,3 | Sorted columns | 1,2,3 |

Ciphertext | C,D,O | Plaintext | D,C,O |

E,D,X | D,E,X |

Example: The plain text is DCODEX.

If the message was read in columns, first write the table by columns

Example: A permutation 2,1,3 has been used to get the message CEDDOX (read by column):

Columns | 2,1,3 | Sorted columns | 1,2,3 |

Ciphertext | C,D,O | Plaintext | D,C,O |

E,D,X | D,E,X |

Example: The plain text is DCODEX.

The message consists of the letters of the original message but in a different order.

The index of coincidence is identical to that of the one of the language of the plaintext.

It is possible to test all the permutations if the key is not too long, but the most effective method is to have or try to guess a word from the plain text and to deduce the permutations of the columns.

The **transposition** cipher is, along with the substitution cipher, one of the most used bricks for more elaborate ciphers. There are dozens of ciphers that use it like ADFGVX, Amsco, Double Transposition, Redefence, etc.

Empty boxes if they are not handled can, in some cases, introduce a decryption error on the last letters of the message.

Example: DCODE encrypted with 3,1,2 becomes ODC-DE (read online with - the empty cell) and during decryption, ODCDE decrypted with 3,1,2 becomes DCOED (line reading)

The same problem appears for column reading, but the error is then even more important (it can appear from the beginning of the message).

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- Transposition Decoder
- Transposition Encoder
- How to encrypt using a Transposition cipher?
- How to decrypt with a transposition cipher?
- How to recognize a transposition ciphertext?
- How to decipher a transposition cipher without key?
- What are the variants of the transposition cipher?
- Why completing the empty cells of the transposition table?

transpotition,permutation,anagram,combination,disorder,grid,rectangle,rectangular

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