MinT - Information on Result #546580

Information on Result #546580

There is no linear OA(3⁴¹, 59, F₃, 27) (dual of [59, 18, 28]-code), because residual code would yield linear OA(3¹⁴, 31, F₃, 9) (dual of [31, 17, 10]-code), but

residual code [i] would yield linear OA(3⁵, 21, F₃, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), but
- 20 is the largest size of a cap in PG(4,Â 3) [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.