Title
Evaluation codes at singular points of algebraic differential equations
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
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. Campillo171.93
J. I. Farran210.52
M. J. Pisabarro310.52