What is EEA ?
In the field of cybersecurity, particularly within the domain of classical cryptography fundamentals and the introduction to public-key cryptography, the term "EEA" refers to the Extended Euclidean Algorithm. This algorithm is a vital tool in number theory and cryptographic applications, especially in the context of public-key cryptography systems such as RSA (Rivest-Shamir-Adleman). The Euclidean Algorithm
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, Introduction to public-key cryptography, Number theory for PKC – Euclidean Algorithm, Euler’s Phi Function and Euler’s Theorem
In RSA cipher, does Alice need Bob’s public key to encrypt a message to Bob?
In the context of the RSA cryptosystem, Alice indeed requires Bob's public key to encrypt a message intended for Bob. The RSA algorithm is a form of public-key cryptography, which relies on a pair of keys: a public key and a private key. The public key is used for encryption, while the private key is
How many part does a public and private key has in RSA cipher
The RSA cryptosystem, named after its inventors Rivest, Shamir, and Adleman, is one of the most well-known public-key cryptographic systems. It is widely used for secure data transmission. RSA is based on the mathematical properties of large prime numbers and the computational difficulty of factoring the product of two large prime numbers. The system relies
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, Introduction to public-key cryptography, The RSA cryptosystem and efficient exponentiation
Are 7 and 12 equivalent in mode 5 operation
In the context of modular arithmetic, which is a fundamental concept in classical cryptography, the question of whether the numbers 7 and 12 are equivalent in mode 5 operation can be addressed by examining their equivalence under modulo 5. Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a
Can public key be used for authentication if the asymmetric relation in terms of complexity in computing keys is reversed?
Public-key cryptography fundamentally relies on the asymmetric nature of key pairs for secure communication, encryption, and authentication. In this system, each participant possesses a pair of keys: a public key, which is openly distributed, and a private key, which is kept confidential. The security of this system hinges on the computational difficulty of deriving the
What are eulers theorem used for?
Euler's Theorem is a fundamental result in number theory, which states that for any integer and a positive integer that are coprime (i.e., their greatest common divisor is 1), the following congruence relation holds: Here, is Euler's Totient Function, which counts the number of positive integers up to that are relatively prime to
What is the exponentiation function in the RSA cipher?
The RSA (Rivest-Shamir-Adleman) cryptosystem is a cornerstone of public-key cryptography, which is widely used for securing sensitive data transmission. One of the critical elements of the RSA algorithm is the exponentiation function, which plays a pivotal role in both the encryption and decryption processes. This function involves raising a number to a power, and then
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, Introduction to public-key cryptography, The RSA cryptosystem and efficient exponentiation
Can a private key be computed from public key?
Public-key cryptography, also known as asymmetric cryptography, is a fundamental concept in the field of cybersecurity. It involves the use of two distinct but mathematically related keys: a public key, which can be disseminated widely, and a private key, which must be kept confidential by the owner. The security of public-key cryptographic systems relies heavily
- Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, Introduction to public-key cryptography, Number theory for PKC – Euclidean Algorithm, Euler’s Phi Function and Euler’s Theorem
What is a public key?
In the realm of cybersecurity, particularly within the scope of classical cryptography fundamentals, the concept of a public key is central to the understanding and implementation of public-key cryptography (PKC). Public-key cryptography, also known as asymmetric cryptography, is a cryptographic system that employs pairs of keys: public keys, which may be disseminated widely, and private
What is a public key?
A public key is a fundamental concept in public-key cryptography, which is an essential branch of cybersecurity. Public-key cryptography, also known as asymmetric cryptography, involves the use of two distinct but mathematically related keys: a public key and a private key. These keys are used for encryption and decryption, as well as for digital signatures