Why in FF GF(8) irreducible polynomial itself does not belong to the same field?
In the field of classical cryptography, particularly in the context of the AES block cipher cryptosystem, the concept of Galois Fields (GF) plays a crucial role. Galois Fields are finite fields that are used for various operations in AES, such as multiplication and division. One important aspect of Galois Fields is the existence of irreducible
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
Can a field be considered as a set of numbers in which one can add, subtract and multiple but not divide?
In the field of cybersecurity, particularly in classical cryptography, understanding the concept of fields is crucial for comprehending the inner workings of cryptographic algorithms such as the AES block cipher cryptosystem. While the assertion that the field be considered as a set of numbers in which one can add, subtract and multiple but not divide
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
What is the role of the irreducible polynomial in the multiplication operation in Galois Fields?
The role of the irreducible polynomial in the multiplication operation in Galois Fields is crucial for the construction and functioning of the AES block cipher cryptosystem. In order to understand this role, it is necessary to delve into the concept of Galois Fields and their application in the AES. Galois Fields, also known as finite
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES, Examination review