MinT - Information on Result #908819

Information on Result #908819

Linear OOA(2²⁵⁹, 132, F₂, 2, 146) (dual of [(132, 2), 5, 147]-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(2²⁴⁹, 127, F₂, 2, 141) (dual of [(127, 2), 5, 142]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁴⁹, 129, F₂, 2, 141) (dual of [(129, 2), 9, 142]-NRT-code), using
  - 11 step truncation [i] based on linear OOA(2²⁶⁰, 135, F₂, 2, 152) (dual of [(135, 2), 10, 153]-NRT-code), using
    - strength reduction [i] based on linear OOA(2²⁶⁰, 135, F₂, 2, 154) (dual of [(135, 2), 10, 155]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(4⁴⁰, 45, F₄, 30) (dual of [45, 5, 31]-code), using
        1 times truncation [i] based on linear OA(4⁴¹, 46, F₄, 31) (dual of [46, 5, 32]-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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