Base 36 Cipher

The base 36 cipher uses the principle of arithmetic base change (conversion from base 36 to base 10). Thus, the words are considered to be written in base 36 (with as 36 symbols the 26 letters of the alphabet ABCDEFGHIJKLMNOPQRSTUVWXYZ and the 10 digits 0123456789) then converted into a number in base 10.

Example: To encode B36, written in base 36 with the symbols 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ, convert to base 10: B=11, 3=3, 6=6 so \( 11 \times 36^2 + 3 \times 36^1 + 6 \times 36^0 = 14370 \)

The decryption of the base 36 consists of the conversion of numbers from the base 10 to the base 36.

Example: \( 527198 = 11 \times 36^3 + 10 \times 36^2 + 28 \times 36^1 + 14 \times 36^0 \) so [11,10,28,14] in base 36 and 11=B, 10=A, 28=S, 14=E. The plain message is BASE.

The coded message consists of decimal numbers whose length is proportional to the length of the word.

The same word is coded with the same number, so the numbers corresponding to the common words appear coded several times.