Still better nonlinear codes from modular curves

Details Still better nonlinear codes from modular curves Still better nonlinear codes from modular curves

2003-08-05

arxiv.org/abs/math/0308046v1

Mathematics

Number Theory

10 pages

Scientific paper

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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