How can an affine cipher be injective?
An affine cipher is a type of monoalphabetic substitution cipher that uses mathematical functions to encrypt and decrypt messages. Specifically, the encryption function of an affine cipher uses a linear transformation of the form: where: – is the numerical equivalent of the plaintext letter. – and are constants that serve as the key
What is the key space of an affine cipher?
The key space of an affine cipher is a fundamental concept in the study of classical cryptography, particularly within the domain of modular arithmetic and historical ciphers. Understanding the key space involves comprehending the range of possible keys that can be used within the affine cipher algorithm to encrypt and decrypt messages. The affine cipher
What is the key space of an affine cipher?
The key space of an affine cipher is a fundamental concept in classical cryptography, particularly within the domain of modular arithmetic and historical ciphers. The affine cipher is a type of substitution cipher, which means it replaces each letter in the plaintext with a corresponding letter in the ciphertext according to a mathematical function. Understanding
Do affine ciphers preserve frequency
The question of whether affine ciphers preserve frequency is a pertinent one within the realm of classical cryptography, particularly when examining the principles of modular arithmetic and historical ciphers. To address this question comprehensively, it is essential to understand the mechanics of affine ciphers, their mathematical foundations, and the implications of these mechanics on the
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, History of cryptography, Modular arithmetic and historical ciphers
What condition does it take for the Affine Cipher to work?
The Affine Cipher is a type of monoalphabetic substitution cipher, where each letter in an alphabet is mapped to its numeric equivalent, encrypted using a simple mathematical function, and then converted back to a letter. The encryption function for a letter is given by: Here, is the numeric equivalent of a letter, and
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, History of cryptography, Modular arithmetic and historical ciphers
How does the concept of a multiplicative inverse apply in modular arithmetic, and why is it important for decryption in ciphers like the Affine Cipher?
The concept of a multiplicative inverse in modular arithmetic is fundamental to various applications within number theory and cryptography. Modular arithmetic, often referred to as clock arithmetic, involves numbers wrapping around upon reaching a certain value, known as the modulus. In this system, an integer has a multiplicative inverse modulo if the product is congruent
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, History of cryptography, Modular arithmetic and historical ciphers, Examination review
Why is it necessary for the key (A) in the Affine Cipher to be coprime with the modulus 26, and what are the implications if it is not?
The Affine Cipher is a type of monoalphabetic substitution cipher that utilizes mathematical operations to encrypt and decrypt messages. The encryption process in the Affine Cipher involves two keys, typically denoted as and , and follows the formula: where represents the encrypted letter, is the numerical equivalent of the plaintext letter (with ),
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, History of cryptography, Modular arithmetic and historical ciphers, Examination review