MinT - Information on Result #2441821

Information on Result #2441821

Linear OOA(4¹⁸¹, 92, F₄, 2, 148) (dual of [(92, 2), 3, 149]-NRT-code), using strength reduction based on linear OOA(4¹⁸¹, 92, F₄, 2, 151) (dual of [(92, 2), 3, 152]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³, 3, F₄, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³, 4, F₄, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;5,4) [i]
2. linear OOA(4¹⁷⁵, 89, F₄, 2, 147) (dual of [(89, 2), 3, 148]-NRT-code), using
  - strength reduction [i] based on linear OOA(4¹⁷⁵, 89, F₄, 2, 150) (dual of [(89, 2), 3, 151]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4⁷, 5, F₄, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;3,4) [i]
      2. linear OOA(4¹⁶⁵, 84, F₄, 2, 142) (dual of [(84, 2), 3, 143]-NRT-code), using
        1 step truncation [i] based on linear OOA(4¹⁶⁶, 85, F₄, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
        concatenation of two NRT-codes [i] based on
        linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
        extended Reedâ€“Solomon code RS_e(2,16) [i]
        Simplex code S(2,16) [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.