Still better nonlinear codes from modular curves
Number Theory
2007-07-16 v1 Information Theory
Algebraic Geometry
math.IT
Abstract
We give a new construction of nonlinear error-correcting codes over suitable finite fields k from the geometry of modular curves with many rational points over k, combining two recent improvements on Goppa's construction. The resulting codes are asymptotically the best currently known.
Keywords
Cite
@article{arxiv.math/0308046,
title = {Still better nonlinear codes from modular curves},
author = {Noam D. Elkies},
journal= {arXiv preprint arXiv:math/0308046},
year = {2007}
}
Comments
10 pages