Math

QuestionDecrypt the message TDGM CORF NISM NHAH WDRT NNAI ITRT ASOL E using the keyword OAK in a tabular transposition cipher.

Studdy Solution

STEP 1

Assumptions1. The encrypted message is "TDGM COR NISM NHAH WDRT NNA ITR AS" . The encryption keyword is "AK"
3. The encryption method used is a tabular transposition cipher

STEP 2

In a tabular transposition cipher, the keyword determines the order of columns in the encryption table. First, we need to sort the keyword alphabetically and note down the order of the letters.
The keyword "AK" when sorted alphabetically becomes "AK". So, the order of the letters is2,1,.

STEP 3

Now, we need to create a table for the encrypted message. The number of columns in the table is equal to the length of the keyword, which is3 in this case. The message is then written into the table row by row.
The table would look like this| | D | G | |---|---|---| | M | C | O | | R | F | N | | I | | M | | N | H | A | | H | W | D | | R | | N | | N | A | I | | I | | R | | | A | | | O | L | |

STEP 4

Next, we need to reorder the columns based on the order of the letters in the sorted keyword. The order we determined in Step2 was2,1,3. So, we rearrange the columns in this order.
The table now looks like this| D | | G | |---|---|---| | C | M | O | | F | R | N | | | I | M | | H | N | A | | W | H | D | | | R | N | | A | N | I | | | I | R | | A | | | | L | O | |

STEP 5

Now, we read the message from the table column by column, from left to right.
The decrypted message is "DCFSHWTAATTMROINHRANTERTGNMADIRSE".

STEP 6

The final step is to add spaces to the decrypted message to make it readable. Since the original message was encrypted without spaces, we need to use context and knowledge of the language (in this case, English) to correctly place the spaces.
The decrypted message with spaces is "DCFS HWTA ATL TMRO INHR AN OERT GNMA DNIR SE".

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