MinT - Information on Result #894821

Information on Result #894821

Linear OOA(2²⁴², 126, F₂, 2, 120) (dual of [(126, 2), 10, 121]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁷, 63, F₂, 2, 60) (dual of [(63, 2), 9, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹¹⁷, 64, F₂, 2, 60) (dual of [(64, 2), 11, 61]-NRT-code), using
  - 11 step truncation [i] based on linear OOA(2¹²⁸, 70, F₂, 2, 71) (dual of [(70, 2), 12, 72]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16¹¹, 14, F₁₆, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
        discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
        Reedâ€“Solomon code RS(5,16) [i]
      2. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [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(2¹²⁵, 63, F₂, 2, 120) (dual of [(63, 2), 1, 121]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹²⁵, 63, F₂, 2, 125) (dual of [(63, 2), 1, 126]-NRT-code), using
  - dual of repetition NRT-code with length 63 [i]

Mode: Constructive and linear.

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