MinT - Information on Result #1294475

Information on Result #1294475

Linear OA(64⁴², 259, F₆₄, 29) (dual of [259, 217, 30]-code), using constructionÂ X applied to AG(F,226P) âŠ‚ AG(F,228P) based on

linear OA(64⁴¹, 256, F₆₄, 29) (dual of [256, 215, 30]-code), using algebraic-geometric code AG(F,226P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using
- K_1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [i]
linear OA(64³⁹, 256, F₆₄, 27) (dual of [256, 217, 28]-code), using algebraic-geometric code AG(F,228P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257 (see above)
linear OA(64¹, 3, F₆₄, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(64¹, s, F₆₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Linear.

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