MinT - Information on Result #625657

Information on Result #625657

Linear OA(4¹⁵³, 158, F₄, 109) (dual of [158, 5, 110]-code), using repeating each code word 2 times based on linear OA(4⁷⁴, 79, F₄, 54) (dual of [79, 5, 55]-code), using

discarding factors / shortening the dual code based on linear OA(4⁷⁴, 80, F₄, 54) (dual of [80, 6, 55]-code), using
- strength reduction [i] based on linear OA(4⁷⁴, 80, F₄, 55) (dual of [80, 6, 56]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹³, 16, F₁₆, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
      - Reedâ€“Solomon code RS(3,16) [i]
    2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
      - extended Reedâ€“Solomon code RS_e(2,4) [i]
      - Simplex code S(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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.