Still better nonlinear codes from modular curves
classification
🧮 math.NT
cs.ITmath.AGmath.IT
keywords
codesconstructioncurvesmodularnonlinearasymptoticallybestbetter
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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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