MinT - Information on Result #894822

Information on Result #894822

Linear OOA(2²³⁶, 122, F₂, 2, 121) (dual of [(122, 2), 8, 122]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁵, 61, F₂, 2, 60) (dual of [(61, 2), 7, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹¹⁵, 63, F₂, 2, 60) (dual of [(63, 2), 11, 61]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(2¹¹⁸, 65, F₂, 2, 63) (dual of [(65, 2), 12, 64]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹¹⁸, 65, F₂, 2, 65) (dual of [(65, 2), 12, 66]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(16¹⁰, 13, F₁₆, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
        discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
        Reedâ€“Solomon code RS(6,16) [i]
        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(2¹²¹, 61, F₂, 2, 121) (dual of [(61, 2), 1, 122]-NRT-code), using
- dual of repetition NRT-code with length 61 [i]

Mode: Constructive and linear.

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