An algebraic model of AES cipher using the continued fraction

Abstract

In the paper, the algebraic structure of cipher AES is studied using the mathematical apparatus of continued fractions. Provided here brief description of the cipher AES (FIPS-197) covers the basic transformations used in this cryptographic algorithm and its algebraic structure. Polynomial description of the Algebraic form of nonlinear input node substitutions cipher greatly simplifies the system of equations connecting the values of the plaintext, the secret key and the resulting cipher text.