MinT - Information on Result #640789

Information on Result #640789

Linear OA(4¹⁷³, 178, F₄, 127) (dual of [178, 5, 128]-code), using repeating each code word 2 times based on linear OA(4⁸⁴, 89, F₄, 63) (dual of [89, 5, 64]-code), using

discarding factors / shortening the dual code based on linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using
- concatenation of two 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 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.