Information on Result #664740

Linear OA(1645, 131080, F16, 10) (dual of [131080, 131035, 11]-code), using (u, u−v, u+v+w)-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(1638, 131072, F16, 10) (dual of [131072, 131034, 11]-code), using
    • trace code [i] based on linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using
      • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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.