MinT - Information on Result #908670

Information on Result #908670

Linear OOA(2²⁰⁸, 107, F₂, 2, 110) (dual of [(107, 2), 6, 111]-NRT-code), using juxtaposition based on

linear OOA(2⁶, 6, F₂, 2, 4) (dual of [(6, 2), 6, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁶, 101, F₂, 2, 105) (dual of [(101, 2), 6, 106]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁹⁶, 104, F₂, 2, 105) (dual of [(104, 2), 12, 106]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹⁹⁶, 104, F₂, 2, 109) (dual of [(104, 2), 12, 110]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. 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]
      2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

None.

None.