MinT - Information on Result #2273848

Information on Result #2273848

Linear OA(4⁷⁶, 86, F₄, 49) (dual of [86, 10, 50]-code), using 3 times code embedding in larger space based on linear OA(4⁷³, 83, F₄, 49) (dual of [83, 10, 50]-code), using

2 times truncation [i] based on linear OA(4⁷⁵, 85, F₄, 51) (dual of [85, 10, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
    - extended Reedâ€“Solomon code RS_e(5,16) [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.