MinT - Information on Result #547815

Information on Result #547815

There is no linear OA(3²⁰⁹, 216, F₃, 141) (dual of [216, 7, 142]-code), because constructionÂ Y1 would yield

linear OA(3²⁰⁸, 213, F₃, 141) (dual of [213, 5, 142]-code), but
- Griesmer bound [i]
linear OA(3⁷, 216, F₃, 3) (dual of [216, 209, 4]-code or 216-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.