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. |
Year | DOI | Venue |
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2007 | 10.1007/s00200-006-0024-7 | Appl. Algebra Eng. Commun. Comput. |
Keywords | Field | DocType |
Evaluation codes,Algebraic differential equations,Cayley–Bacharach theorem,Designed minimum distance | Regular singular point,Affine transformation,Singular point of an algebraic variety,Differential equation,Discrete mathematics,Combinatorics,Algebra,Algebraic differential equation,Singular solution,Differential algebraic geometry,Differential algebraic equation,Mathematics | Journal |
Volume | Issue | ISSN |
18 | 1 | 0938-1279 |
Citations | PageRank | References |
1 | 0.52 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Campillo | 1 | 7 | 1.93 |
J. I. Farran | 2 | 1 | 0.52 |
M. J. Pisabarro | 3 | 1 | 0.52 |