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Introduction to cryptography with mathematical foundations and computer implementations
Content:
An overview of the subject
Divisibility and modular arithmetic
The evolution of codemaking until the computer era
Matrices and the Hill cryptosystem
The evolution of codebreaking until the computer era
Representation and arithmetic of integers in different bases
Block cryptosystems and the data encryption standard (DES)
Some number theory and algorithms
Public key cryptography
Finite fields in general, and GF(2⁸) in particular
The advanced encryption standards (AES) protocol
Elliptic curve cryptography
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