MinT - Information on Result #908816

Information on Result #908816

Linear OOA(2²⁴³, 124, F₂, 2, 137) (dual of [(124, 2), 5, 138]-NRT-code), using juxtaposition based on

linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²³³, 119, F₂, 2, 132) (dual of [(119, 2), 5, 133]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²³³, 121, F₂, 2, 132) (dual of [(121, 2), 9, 133]-NRT-code), using
  - 15 step truncation [i] based on linear OOA(2²⁴⁸, 129, F₂, 2, 147) (dual of [(129, 2), 10, 148]-NRT-code), using
    - strength reduction [i] based on linear OOA(2²⁴⁸, 129, F₂, 2, 149) (dual of [(129, 2), 10, 150]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(4³⁸, 43, F₄, 29) (dual of [43, 5, 30]-code), using
        an explicit generator matrix [i]
        linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

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