Titlebook: Algebraic-Geometric Codes; M. A. Tsfasman,S. G. Vl?du? Book 1991 Kluwer Academic Publishers and Copyright Holders 1991 algebraic curve.ana

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Towards a Definition of Democracy,lgorithm for Reed-Solomon codes (given in Section 1.2.1) to the case of an arbitrary curve; we call it the basic algorithm. Unfortunately the basic algorithm corrects ./2 errors less than one would like. The reason is that the Riemann-Roch theorem does not answer the question about the exact value o

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Is Democracy the Best Form of Government?,nstructed from families of algebraic curves are the better, the higher is (asymptotically) the ratio of the number of F.-points on them to their genus. In Section 3.4.1 we establish the basic algebraic-geometric asymptotic bound, it is a line intersecting the Gilbert-Varshamov bound if . is large en

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978-1-4020-0335-6Kluwer Academic Publishers and Copyright Holders 1991

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Democracies at War against TerrorismIn this chapter we present several examples of codes. Each example is in fact a method to construct some family of codes, which (in some way or other) have rather good parameters. Since in many cases these families are predecessors of algebraic-geometric codes, we try to choose constructions that are easy to generalize in that direction.

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