Tool to decrypt/encrypt in Base 26. Base 26 uses 26 symbols, by using the alphabet's letter, Base 26 cipher can encrypt words with numbers and conversely.

Base 26 Cipher - dCode

Tag(s) : Cryptography, Arithmetics

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Tool to decrypt/encrypt in Base 26. Base 26 uses 26 symbols, by using the alphabet's letter, Base 26 cipher can encrypt words with numbers and conversely.

The encoding with **hexavigesimal** (**base 26** name) uses an arithmetic base change from **base 26** to base 10. The words are considered as written in **base 26** (with 26 symbols: the 26 letters of the alphabet ABCDEFGHIJKLMNOPQRSTUVWXYZ) and converted to base 10.

Example: To code DCODE, written in **base 26**, convert it to base 10: D=3, C=2, O=14, D=3, E=4 so \( 3 \times 26^4 + 2 \times 26^3 + 14 \times 26^2 + 3 \times 26^1 + 4 \times 26^0 = 1415626 \)

This method is the most rigorous mathematically, but can raise problems for encrypting words starting with A (which corresponds to the 0 symbol in base 10) and is thus generally ignored at the beginning of the number (001 = 1). It is sometimes considered to use 'A = 1' for some applications in cryptography.

**Hexavigesimal** decryption consists of the conversion from the base 10 to the **base 26** (using the words as **hexavigesimal** numbers with the 26 letters of the alphabet as base symbols).

Example: \( 1415626 = 3 \times 26^4 + 2 \times 26^3 + 14 \times 26^2 + 3 \times 26^1 + 4 \times 26^0 \) so [3,2,14,3,4] in **base 26** and 3=D, 2=C, 14=O, 3=D, 4=E. The plain message is DCODE.

The ciphered message is made of numbers, relatively big (for long words)

Usual word can appears multiple times with the same value in a long text.

Rather than converting normally, the reverse order of letters can be considered (or the word reversed):

Example: DCODE = \( 3 \times 26^0 + 2 \times 26^1 + 14 \times 26^2 + 3 \times 26^3 + 4 \times 26^4 = 1890151 \) (this is equivalent to coding EDOCD).

as A is encoded 0 in **base 26**, when encoding it is null and disappear when decoding.

Example: AB = 0*26^1+1*26^0 = 1 and 1 = B

Add a zero at the beginning of a number to indicate a A at the beginning of a word.

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base,base26,26,hexavigesimal,modulo,alphabet,number,word

Source : https://www.dcode.fr/base-26-cipher

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