Information on Result #664568

Linear OA(16121, 4124, F16, 34) (dual of [4124, 4003, 35]-code), using generalized (u, u+v)-construction based on
  1. linear OA(166, 7, F16, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,16)), using
  2. linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)), using
  3. linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)) (see above)
  4. linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)) (see above)
  5. linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using
    • an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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.