The Advanced Encryption Standard uses infinite fields.
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This is not entirely correct. The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that uses a finite field called the Galois Field (GF) of order 2 (GF(2^8)), which consists of 256 elements. This field is also known as the Rijndael field, named after the Belgian cryptographers who developed AES.
The AES encryption process involves manipulating finite field elements using several mathematical operations such as substitution, permutation, and modular arithmetic. These operations transform the plaintext input into a ciphertext output, making it very difficult for unauthorized users to decipher the message.
In summary, AES does not use infinite fields but rather a finite field of order 2, which is a fundamental component of the algorithm’s encryption process.
More Answers:
Understanding Fields in Mathematics: Definition and PropertiesUnderstanding Cyclic Groups: Properties and Examples.
Mastering Modular Arithmetic: A Guide to Addition, Subtraction, and Multiplication Rules