Abstract Algebra | Senioritis

John Rhodes
June 21, 2023
Abstract Algebra

Understanding AES Encryption: The Role of Finite Fields in Secure Data Transmission

The Advanced Encryption Standard uses infinite fields. 0 This is not entirely correct. The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that uses a finite...

Continue Reading

John Rhodes
June 21, 2023
Abstract Algebra

Mastering Modular Arithmetic: A Guide to Addition, Subtraction, and Multiplication Rules

The rules for ordinary arithmetic involving addition, subtraction, and multiplication carry over into modular arithmetic. 1 Modular arithmetic is a branch of arithmetic that deals with the...

Continue Reading

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Cyclic Groups: Properties and Examples.

A cyclic group is always commutative and may be finite or infinite. Z4 is a cyclic group generated by 1, and it is also abelian or commutative....

Continue Reading

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Fields in Mathematics: Definition and Properties

A field is a set in which we can do addition, subtraction, multiplication and division without leaving the set. 1 True. A field is a set of...

Continue Reading