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Still better nonlinear codes from modular curves

Noam D. Elkies
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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.

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Noam D. Elkies. 2003-08-05. Still better nonlinear codes from modular curves. https://arxiv.org/abs/math/0308046

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