Titlebook: Introduction to Coding Theory and Algebraic Geometry; Jacobus H. Lint,Gerard Geer Book 1988 Birkhäuser Verlag, Basel 1988 Divisor.algebra.

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Introduction to Coding Theory and Algebraic Geometry978-3-0348-9286-5Series ISSN 1661-237X Series E-ISSN 2296-5041

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1661-237X Overview: 978-3-0348-9979-6978-3-0348-9286-5Series ISSN 1661-237X Series E-ISSN 2296-5041

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Self-dual codesons with invariant theory and with lattice sphere packings (cf. Mac Williams and Sloane, 1977, Ch. 19). Recently there has been interest in geometric Goppa codes that are self-dual. For examples see alg.geom. . III. ref. [5], [6]. Here we give some theorems about self-dual codes.

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Goppa Codes...,P. on X a code by evaluating a set of rational functions on X in the points P. [see also Section 5 of Van Lint’s lectures]. To be precise, let P.,...,P. be rational points of X over F. and set D = P. + ... + P.. Let G be a divisor. We assume first that G has support disjoint from D (i.e. the points P. occur with multiplicity 0 in G).

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Linear codesFrom now on we shall only consider linear codes.

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