Goppa’s construction of error-correcting codes from curves, leading to the Tsfasman-Vladut-Zink bound (the first improvement over the Gilbert-Varshamov bound). An error-correcting code may be regarded as a combinatoric combinatorial structure, and I think that this is a surprising connection between algebraic geometry and combinatorics.
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Goppa’s construction of error-correcting codes from curves, leading to the Tsfasman-Vladut-Zink bound (the first improvement over the Gilbert-Varshamov bound). An error-correcting code may be regarded as a combinatoric structure, and I think that this is a surprising connection between algebraic geometry and combinatorics. |
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