Information on Result #664593

Linear OA(1669, 131086, F16, 15) (dual of [131086, 131017, 16]-code), using generalized (u, u+v)-construction based on
  1. linear OA(163, 4, F16, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,16) or 4-cap in PG(2,16)), using
  2. linear OA(164, 4, F16, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,16)), using
  3. linear OA(164, 4, F16, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,16)) (see above)
  4. linear OA(1658, 131074, F16, 15) (dual of [131074, 131016, 16]-code), using
    • trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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.