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Questions and answers categorized in: Cybersecurity > EITC/IS/CCF Classical Cryptography Fundamentals > AES block cipher cryptosystem

Does the AES MixColumn sublayer include a nonlinear transformation that can be represented by a 4×4 matrix multiplication?

Saturday, 17 May 2025 by Theresa Sittel

The Advanced Encryption Standard (AES) is a widely adopted symmetric key block cipher, and its security is derived from a carefully orchestrated series of linear and nonlinear transformations on the data block. One of the key components in AES is the MixColumns sublayer, which plays a critical role in providing diffusion by mixing the columns

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
Tagged under: AES, Block Cipher, Cybersecurity, Galois Fields, Linear Transformation, MixColumns

Are AES based on finite fields?

Friday, 09 August 2024 by Emmanuel Udofia

The Advanced Encryption Standard (AES) is a widely utilized symmetric encryption algorithm that has become a cornerstone in modern cryptographic systems. Its design and operational principles are deeply rooted in the mathematical structure of finite fields, specifically Galois Fields, which play a important role in the algorithm's functionality and security. Finite fields, also known as

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
Tagged under: AES, Cryptography, Cybersecurity, Encryption, Finite Fields, Galois Fields

What are the properties of a field?

Friday, 02 August 2024 by Emmanuel Udofia

In the context of the Advanced Encryption Standard (AES) block cipher cryptosystem, understanding the properties of a field, particularly a Galois Field (GF), is important. A Galois Field, also known as a finite field, is a field that contains a finite number of elements. The properties of such fields are foundational to many cryptographic algorithms,

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
Tagged under: AES, Cryptography, Cybersecurity, Finite Fields, Galois Fields, Polynomial Arithmetic

Did Rijndael cipher win a competition call by NIST to become the AES cryptosystem?

Saturday, 20 April 2024 by Cyrille Romeo Kouadio

The Rijndael cipher did win the competition held by the National Institute of Standards and Technology (NIST) in 2000 to become the Advanced Encryption Standard (AES) cryptosystem. This competition was organized by NIST to select a new symmetric key encryption algorithm that would replace the aging Data Encryption Standard (DES) as the standard for securing

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Advanced Encryption Standard (AES)
Tagged under: AES Competition, Cryptography, Cybersecurity, Data Encryption Standard, NIST, Rijndael

Can we tell how many irreducible polynomial exist for GF(2^m) ?

Monday, 18 December 2023 by panosadrianos

In the field of classical cryptography, specifically in the context of the AES block cipher cryptosystem, the concept of Galois Fields (GF) plays a important role. Galois Fields are finite fields that are extensively used in cryptography for their mathematical properties. In this regard, GF(2^m) is of particular interest, where m represents the degree of

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Introduction to Galois Fields for the AES
Tagged under: AES, Classical Cryptography, Cybersecurity, Finite Fields, Galois Fields, Irreducible Polynomials

Why in FF GF(8) irreducible polynomial itself does not belong to the same field?

Saturday, 21 October 2023 by Ihor Halanyuk

In the field of classical cryptography, particularly in the context of the AES block cipher cryptosystem, the concept of Galois Fields (GF) plays a important 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
Tagged under: AES, Classical Cryptography, Cybersecurity, Finite Fields, Galois Fields, Irreducible Polynomial

What is the AES MixColumn Sublayer?

Monday, 11 September 2023 by Silvio Pereira

The MixColumn sublayer is a important component of the Advanced Encryption Standard (AES) block cipher cryptosystem. It plays a significant role in achieving the desired level of security by introducing non-linearity into the encryption process. This sublayer involves a non-linear transformation that can be represented by a 4×4 matrix multiplication. To understand the MixColumn sublayer,

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Advanced Encryption Standard (AES)
Tagged under: 4x4 Matrix Multiplication, AES, Confusion, Cybersecurity, Diffusion, MixColumn Sublayer, Non-linear Transformation

Can a field be considered as a set of numbers in which one can add, subtract and multiple but not divide?

Monday, 11 September 2023 by Silvio Pereira

In the field of cybersecurity, particularly in classical cryptography, understanding the concept of fields is important 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
Tagged under: AES, Cybersecurity, Finite Field, Galois Fields, Irreducible Polynomial, Multiplication, XOR Operation

Is the AES cryptosystem based on finite fields?

Monday, 11 September 2023 by Silvio Pereira

The AES (Advanced Encryption Standard) cryptosystem is a widely used symmetric encryption algorithm that provides secure and efficient data encryption and decryption. It operates on blocks of data and is based on finite fields. Let us explore the connection between AES operations and finite fields, providing a detailed and comprehensive explanation. Finite fields, also known

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Advanced Encryption Standard (AES)
Tagged under: Add Round Key, Advanced Encryption Standard, AES, AES Cryptosystem, Byte Substitution, Cybersecurity, Finite Field Arithmetic, Finite Fields, Galois Fields, Mix Columns, Shift Rows, Symmetric Encryption

Explain the significance of the key size and the number of rounds in AES, and how they impact the level of security provided by the algorithm.

Thursday, 03 August 2023 by EITCA Academy

The Advanced Encryption Standard (AES) is a widely-used symmetric block cipher that provides secure encryption for various applications. The security of AES is influenced by two key factors: the key size and the number of rounds. The key size in AES refers to the length of the secret key used for encryption and decryption. AES

  • Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, AES block cipher cryptosystem, Advanced Encryption Standard (AES), Examination review
Tagged under: Advanced Encryption Standard, AES, Brute-force Attack, Confusion, Cryptographic Attacks, Cybersecurity, Decryption, Differential Cryptanalysis, Diffusion, Encryption, Key Size, Linear Cryptanalysis, Number Of Rounds, Security, Substitution-permutation Network, Symmetric Block Cipher
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