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Title of Journal: AAECC

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Abbravation: Applicable Algebra in Engineering, Communication and Computing

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Springer-Verlag

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DOI

10.1016/0029-5493(94)90218-6

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1432-0622

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Evaluation codes at singular points of algebraic d

Authors: A Campillo J I Farran M J Pisabarro
Publish Date: 2007/01/09
Volume: 18, Issue: 1-2, Pages: 191-203
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Abstract

We use the special geometry of singular points of algebraic differential equations on the affine plane over finite fields to study the main features and parameters of error correcting codes giving by evaluating functions at sets of singular points In particular one gets new methods to construct codes with designed minimum distance

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  1. Reducing the size and number of linear programs in a dynamic Gröbner basis algorithm
  2. Finite field trigonometric transforms
  3. A matrix-based approach to properness and inversion problems for rational surfaces
  4. Computing Tjurina stratifications of $$\mu $$-constant deformations via parametric local cohomology systems
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