MinT - Information on Result #1294557

Information on Result #1294557

Linear OA(64³³, 261, F₆₄, 19) (dual of [261, 228, 20]-code), using constructionÂ X applied to AG(F,236P) âŠ‚ AG(F,239P) based on

linear OA(64³¹, 256, F₆₄, 19) (dual of [256, 225, 20]-code), using algebraic-geometric code AG(F,236P) [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(64²⁸, 256, F₆₄, 16) (dual of [256, 228, 17]-code), using algebraic-geometric code AG(F,239P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257 (see above)
linear OA(64², 5, F₆₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(64², 64, F₆₄, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
  - Reedâ€“Solomon code RS(62,64) [i]

Mode: Linear.

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