MinT - Information on Result #894779

Information on Result #894779

Linear OOA(2¹⁹⁵, 102, F₂, 2, 99) (dual of [(102, 2), 9, 100]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁴, 51, F₂, 2, 49) (dual of [(51, 2), 8, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁹⁴, 53, F₂, 2, 49) (dual of [(53, 2), 12, 50]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(2⁹⁸, 55, F₂, 2, 53) (dual of [(55, 2), 12, 54]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(16⁸, 11, F₁₆, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,16)), using
        discarding factors / shortening the dual code based on linear OA(16⁸, 16, F₁₆, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
        Reedâ€“Solomon code RS(8,16) [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(2¹⁰¹, 51, F₂, 2, 99) (dual of [(51, 2), 1, 100]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁰¹, 51, F₂, 2, 101) (dual of [(51, 2), 1, 102]-NRT-code), using
  - dual of repetition NRT-code with length 51 [i]

Mode: Constructive and linear.

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