MinT - Information on Result #547817

Information on Result #547817

There is no linear OA(3²¹⁸, 225, F₃, 147) (dual of [225, 7, 148]-code), because constructionÂ Y1 would yield

linear OA(3²¹⁷, 222, F₃, 147) (dual of [222, 5, 148]-code), but
- Griesmer bound [i]
linear OA(3⁷, 225, F₃, 3) (dual of [225, 218, 4]-code or 225-cap in PG(6,3)), but
- discarding factors / shortening the dual code would yield linear OA(3⁷, 137, F₃, 3) (dual of [137, 130, 4]-code or 137-cap in PG(6,3)), but
  - a result by BarÃ¡t, Edel, Hill, and Storme [i]

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.