Notes on coding theory

Ebook "Notes on coding theory" includes content: Introduction, sphere packing and shannon’s theorem, linear codes, hamming codes, generalized reed solomon codes, modifying codes, codes over subfields, cyclic codes, weight and distance enumeration.

204p haojiubujain07 20-09-2023 7 3   Download

The Institute for Mathematical Sciences at the National University of Singapore was established on 1 July 2000 with funding from the Ministry of Education and the University. Its mission is to provide an international center of excellence in mathematical research and, in particular, to promote within Singapore and the region active research in the mathematical sciences and their applications. It seeks to serve as a focal point for scientists of diverse backgrounds to interact and collaborate in research through tutorials, workshops, seminars and informal discussions....

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CAI 2009 was the Third International Conference on Algebraic Informatics. It was intended to cover the topics of algebraic semantics on graphs and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs, arrays, etc., decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.

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To accomplish the sad duty of paying homage to Alain Glavieux, I have referred to his biography as much as my own memories. Two points of this biography struck me, although I had hardly paid attention to them until now. I first noted that Alain Glavieux, born in 1949, is the exact contemporary of information theory, since it was based on the articles of Shannon in 1948 and 1949. I also noted that his first research at the Ecole Nationale Supérieure de Télécommunications de Bretagne (ENST Brittany) related to underwater acoustic communications. ...

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