Information on Result #664574

Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code), using generalized (u, u+v)-construction based on
  1. linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
  2. linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)), using
  3. linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)) (see above)
  4. linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)) (see above)
  5. 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.