Information on Result #664718

Linear OA(1663, 131082, F16, 14) (dual of [131082, 131019, 15]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), using
  2. linear OA(165, 5, F16, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,16)), using
  3. linear OA(1654, 131072, F16, 14) (dual of [131072, 131018, 15]-code), using
    • trace code [i] based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
      • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.