منابع مشابه
Algebraic Geometric Coding Theory
Acknowledgements Firstly, I would like to thank my supervisor, Dr David R. Kohel whose many helpful comments and patient guidance made this thesis possible. Secondly, I would like to thank David Gruenwald for volunteering his time to proofread this thesis. Almost all of his recommendations were taken on board. This thesis is the better for it. To a less extent, my thanks go to the IT school of ...
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Error-correcting codes derived from curves in an algebraic geometry are called Algebraic-Geometry Codes. The past couple of decades has seen extraordinary developments in the application of the ideas of algebraic geometry to the construction of codes and their decoding algorithms. This was initiated by the work of Goppa as generalizations of Bose-Chaudhuri-Hocquenghem (BCH), Reed-Solomon (RS), ...
متن کاملQuantum Algebraic-Geometric Codes
This is a Part III essay aiming to discuss the contruction of quantum error-correcting codes through the use of the theory of algebraic function fields, which produces codes with asymptotically good parameters. This exposition emphasises constructibility and several applications of the main theorem (theorem 6.2) are given. Prerequisites are the first 12 lectures of the Part III course Quantum I...
متن کاملAlgebraic treatment of the confluent Natanzon potentials
Using the so(2, 1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green’s function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases....
متن کاملElliptic Algebro-geometric Solutions of the Kdv and Akns Hierarchies – an Analytic Approach
We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our treatment includes an effective characterization of all stationary elliptic KdV and AKNS solutions based on a theory developed by Hermite and Picard.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1987
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700003783