Information on Result #664572

Linear OA(1696, 1048592, F16, 18) (dual of [1048592, 1048496, 19]-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(164, 4, F16, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,16)) (see above)
  5. linear OA(1681, 1048576, F16, 18) (dual of [1048576, 1048495, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.