Concept

Alberti cipher

Summary
The Alberti Cipher, created in 1467 by Italian architect Leon Battista Alberti, was one of the first polyalphabetic ciphers. In the opening pages of his treatise De componendis cifris he explained how his conversation with the papal secretary Leonardo Dati about a recently developed movable type printing press led to the development of his cipher wheel. Alberti's cipher disk embodies the first example of polyalphabetic substitution with mixed alphabets and variable periods This device, called Formula, was made up of two concentric disks, attached by a common pin, which could rotate one with respect to the other. The larger one is called Stabilis [stationary or fixed], and the smaller one is called Mobilis [movable]. The circumference of each disk is divided into 24 equal cells. The outer ring contains one uppercase alphabet for plaintext and the inner ring has a lowercase mixed alphabet for ciphertext. The outer ring also includes the numbers 1 to 4 for the superencipherment of a codebook containing 336 phrases with assigned numerical values. This is a very effective method of concealing the code numbers, since their equivalents cannot be distinguished from the other garbled letters. The sliding of the alphabet is controlled by key letters included in the body of the cryptogram. For an unequivocal study of this cipher, two chapters of De Cifris are herewith reproduced in English. Chapter XIV. I will first describe the movable index. Suppose that we agreed to use the letter k as an index letter in the movable disk. At the moment of writing I will position the two disks of the formula as I wish, for example juxtaposing the index letter to capital B, with all other small letters corresponding to the capital letters above them. When writing to you, I will first write a capital B that corresponds to the index k in the formula. This means that if you want to read my message you must use the identical formula you have with you, turning the movable disk until the letter B corresponds to the index k.
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