Information on Result #548041

There is no linear OA(1689, 94, F16, 84) (dual of [94, 5, 85]-code), because construction Y1 would yield
  1. OA(1688, 90, S16, 84), but
    • 4 times truncation [i] would yield OA(1684, 86, S16, 80), but
      • the (dual) Plotkin bound shows that M ≥ 4 479489 484355 608421 114884 561136 888556 243290 994469 299069 799978 201927 583742 360321 890761 754986 543214 231552 / 27 > 1684 [i]
  2. OA(165, 94, S16, 4), but

Mode: Bound (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

The following results depend on this result:

ResultThis
result
only		Method
1No linear OA(1690, 95, F16, 85) (dual of [95, 5, 86]-code) [i]Truncation
2No linear OA(1691, 96, F16, 86) (dual of [96, 5, 87]-code) [i]
3No linear OA(1692, 97, F16, 87) (dual of [97, 5, 88]-code) [i]
4No linear OA(1693, 98, F16, 88) (dual of [98, 5, 89]-code) [i]
5No linear OA(1690, 150, F16, 84) (dual of [150, 60, 85]-code) [i]Construction Y1 (Bound)