[JGU]

Cryptology

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Lecture Notes
by Klaus Pommerening
Department of Mathematics and Medical School
Johannes Gutenberg University Mainz

FAQ Historical remarks Inventors References


Contents

  1. Classic Ciphers
  2. Bitblock Ciphers
  3. Asymmetric Ciphers
  4. Bitstream Ciphers

This are the notes of cryptology courses that I gave at Johannes Gutenberg University from 1988 until 2011.


Notation:
Cryptology = cryptography + cryptanalysis.
The subject of cryptography is constructing ciphers,
the subject of cryptanalysis is breaking ciphers.

Requirements for readers: People without mathematical ambitions may browse the HTML pages—these are informal and hopefully self-contained. The mathematical background is always in PDF files whose substance differs from section to section, so there should be useful information on every level of mathematical sophistication. Large parts of the mathematical content of Chapter I are accessible with a good knowledge of school mathematics (calculating with numbers, naive probability). From Part II on almost all content is mathematical and requires some undergraduate mathematics (basic knowledge in Calculus, Probability, Linear Algebra, Rings, Fields, Polynomials, Algorithmics). After all, these lectures were given for students of mathematics and computer science. The methods of cryptography are mathematical. (David Kahn)

The mathematical formalism (here as elsewhere) is useful for

Hints for mathematicians (German [*])


[*] Translation to English in progress
Author: Klaus Pommerening, 1999-Sep-29; last change: 2017-Oct-17