MinT - Information on Result #1466632

Information on Result #1466632

Linear OOA(4²⁴⁰, 123, F₄, 2, 190) (dual of [(123, 2), 6, 191]-NRT-code), using juxtaposition based on

linear OOA(4³², 19, F₄, 2, 26) (dual of [(19, 2), 6, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³², 20, F₄, 2, 26) (dual of [(20, 2), 8, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₄ with g(F) = 6 and N(F) ≥ 20, using
    - Drinfeld modules of rank 1 [i]
linear OOA(4²⁰², 104, F₄, 2, 163) (dual of [(104, 2), 6, 164]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²², 14, F₄, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹⁷⁴, 90, F₄, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
        Denniston code D(1,16) [i]
      2. linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Linear.

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