Coding Theory and Cryptography
From Enigma and Geheimschreiber to Quantum Theory
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Beschreibung
These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).
The book contains surveys on the current state and the historical background of cryptography. It will be useful to mathematicians, computer scientists and engineers, as well as historians with an interest in cryptography.
The book covers up-to-date research in the form of surveys in an extremely hot field. Includes supplementary material: sn.pub/extras
Autor*in
David Joyner
Themen in »Coding Theory and Cryptography«
Coding theory Graph MDS-Code Prime algorithms communication cryptography finite field number theory rotor ciphers combinatorics