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While coding theory has evolved into an essential ingredient of contemporary information technology, it remains a fascinating area of research where many fundamental ideas of information theory and mathematics meet. Indeed, the diversity and profundity of recent new ideas in, and new applications of, coding theory is impressive.

The following themes were of primary interest at the seminar:. Codes on graphs include turbo codes, low-density parity check codes, and a variety of similar codes.


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Such codes are a perfect nurturing ground for cross-fertilization of ideas between computer science, electrical engineering, and mathematics. The mathematical tools in this area include ideas from graph theory, probability, algebra, discrete mathematics, and statistical physics.

Algebraic coding theory continues to be of supreme theoretical and practical interest. Prime examples of this area are Reed-Solomon codes, codes from algebraic geometry, and codes obtained from algebraically constructed graphs. Recent advances in the field include, in particular, list-decoding algorithms for various classes of algebraic codes. Emerging relationships between this area and codes on graphs appear to be promising for future research.

Polar codes discovered by Arikan in are a breakthrough of utmost significance. Such codes are provably capacity-achieving on very many channels with very low-complexity and very practical encoders and decoders. These codes rely on a new large-system limit that combines information theory and coding theory more smoothly than any prior coding technique. MR hb. Progress in cryptology-Mycrypt First international conference on cryptology in Malaysia, Kuala Lumpur, Malaysia, September , , proceedings. Pierre Loidreau and Raphael Overbeck. Designs Codes and Cryptography.

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Springer, Netherlands. Silva and F. IEEE Int. Theory, pp IT] 27 Apr Rashwan, Ernst M. Gabidulin, B.

Advances in Coding Theory and Cryptography.pdf

IT] 2 Jun WCC Bergen, Norway. Alexander Wachter-Zeh. Thesis, University of Rennes 1. Eraj Khan, Ernst M.

Recent Progress in Code-Based Cryptography | SpringerLink

Gabidulin, Bahram Honary, Hassan Ahmed. Adrien Hauteville, Jean-Pierre Tillich.


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Horlemann-Trautmann, A. Marshall and J. Universitat Zurich. Computer Science Cryptography and Security. Delfs and H Knebl. Kiermaier, A. Wassermann and W. IT] 16 Jan Neri, A. Horlemann-Trautmann, T. Randrianarisoa, and J. Cornell University Library. IT] 19 May CR] 27 Feb Australia, July , CR], IT], IWSEC Daniel Coggia, Alain Couvreur. Marc Girault. Stinson editor.

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Philippe Gaborit and Marc Girault. Grimaud and F. Standaert, editors, Lecture Notes in Computer Science, volume , pages Yuan Xing Li and Chuanjia Liang.

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MR h Raphael Overbeck, Nicolas Sendrier. Bernstein, Johannes Buchmann, Erik Dahmen editors. Post-quantum cryptography. Springer, Berlin. Pierre-Louis Cayrel and Falko Strenzke. Pierre-Louis Cayrel and Mohammed Meziani. Encyclopedia of Cryptography and Security 2nd edition. Matthieu Finiasz, Nicolas Sendrier. Philippe Gaborit, Nicolas Sendrier.

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HDR thesis. Sami Harari. Xinmei Wang. Springer-Verlag McEliece and Dilip V. Springer-Verlag Berlin Heidelberg, , Williams editors. Public-key cryptography and computational number theory. Proceedings of the International Conference held in Warsaw, September , MR h