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arXiv:math/0308046 [math.NT]AbstractReferencesReviewsResources

Still better nonlinear codes from modular curves

Noam D. Elkies

Published 2003-08-05Version 1

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.

Comments: 10 pages
Categories: math.NT, cs.IT, math.AG, math.IT
Subjects: 94B27, 94B65
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