MinT - Information on Result #941930

Information on Result #941930

Linear OOA(4²²⁵, 115, F₄, 2, 180) (dual of [(115, 2), 5, 181]-NRT-code), using juxtaposition based on

linear OOA(4²¹, 13, F₄, 2, 18) (dual of [(13, 2), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²¹, 14, F₄, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁹⁹, 102, F₄, 2, 161) (dual of [(102, 2), 5, 162]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²¹, 13, F₄, 2, 18) (dual of [(13, 2), 5, 19]-NRT-code) (see above)
  2. linear OOA(4¹⁷³, 89, F₄, 2, 142) (dual of [(89, 2), 5, 143]-NRT-code), using
    - 1 step truncation [i] based on linear OOA(4¹⁷⁴, 90, F₄, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
        Denniston code D(1,16) [i]
        linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result: