Tool to decrypt/encrypt with modulo. Modulo calculations applied on numbers can make possible ciphering using the calculated values.
Modulo Cipher - dCode
Tag(s) : Homophonic Substitution Cipher
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A modulo cipher uses modular calculus on numbers in order to extract the remainder. The values obtained can then be used as a code/index for another cipher such as A1Z26 or the ASCII code.
Modulo Cipher Encryption uses modular arithmetics and a sequence of numbers, characters must be converted into numbers, e.g. A=1, B=2, … Z=26, but any numeric conversion (like the ASCII table) is fine.
Example: To crypt DCODE with the modulo 26, convert the text to numbers 4,3,15,4,5.
For each number to encrypt, calculate a random number which value is equal to the number to crypt.
Example: For $ 4 $, take $ 654 $, as $ 654 \equiv 4 \ mod 26 $
For $ 3 $, take $ 965 $, as $ 965 \equiv 3 \ mod 26 $.
The encrypted message is 654,965,561,732,941 (many other cipher message are possible)
Decryption requires to know the value of the Modulo and to know the series of number to decrypt.
Example: The encrypted message is 654,965,561,732,941with the modulo 26.
For each number N, calculate the value of the remainder in the euclidean division of N by the modulo to get the plain number.
Example: The plain text is 4,3,15,4,5, that can be translate into DCODE with A1Z26 (A=1, B=2, etc.)
The ciphered message is constituted of somehow large random numbers.
The Affine cipher use modulo in the calculation $ C = a \times P + b \mod 26 $
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Cite as source (bibliography):
Modulo Cipher on dCode.fr [online website], retrieved on 2024-11-07,