MinT - Information on Result #2443537

Information on Result #2443537

Linear OOA(4²¹², 109, F₄, 2, 162) (dual of [(109, 2), 6, 163]-NRT-code), using strength reduction based on linear OOA(4²¹², 109, F₄, 2, 169) (dual of [(109, 2), 6, 170]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³², 19, F₄, 2, 25) (dual of [(19, 2), 6, 26]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³², 21, F₄, 2, 25) (dual of [(21, 2), 10, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁷⁴, 90, F₄, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. 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]
    2. 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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.