MinT - Information on Result #2785780

Information on Result #2785780

Linear OOA(3¹⁹⁴, 49, F₃, 4, 178) (dual of [(49, 4), 2, 179]-NRT-code), using 56 step truncation based on linear OOA(3²⁵⁰, 63, F₃, 4, 234) (dual of [(63, 4), 2, 235]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶, 2, F₃, 4, 6) (dual of [(2, 4), 2, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(4;6,3) [i]
2. linear OOA(3²⁴², 61, F₃, 4, 227) (dual of [(61, 4), 2, 228]-NRT-code), using
  - 8 step truncation [i] based on linear OOA(3²⁵⁰, 63, F₃, 4, 235) (dual of [(63, 4), 2, 236]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3¹⁰, 3, F₃, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(4;2,3) [i]
      2. linear OOA(3²³⁸, 60, F₃, 4, 224) (dual of [(60, 4), 2, 225]-NRT-code), using
        repeating each code word 15 times [i] based on linear OOA(3¹⁴, 4, F₃, 4, 14) (dual of [(4, 4), 2, 15]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;2,3) [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.