MinT - Information on Result #2445493

Information on Result #2445493

Linear OOA(4²⁴⁴, 125, F₄, 2, 192) (dual of [(125, 2), 6, 193]-NRT-code), using strength reduction based on linear OOA(4²⁴⁴, 125, F₄, 2, 193) (dual of [(125, 2), 6, 194]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁶, 21, F₄, 2, 29) (dual of [(21, 2), 6, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [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(4²⁰², 104, F₄, 2, 163) (dual of [(104, 2), 6, 164]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²², 14, F₄, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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
        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.

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.