Information on Result #526673

There is no linear OA(713, 16, F7, 12) (dual of [16, 3, 13]-code), because bound for almost-MDS-codes with dimension n = 3

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

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(714, 17, F7, 13) (dual of [17, 3, 14]-code) [i]Truncation
2No linear OA(797, 101, F7, 84) (dual of [101, 4, 85]-code) [i]Residual Code
3No linear OA(78, 21, F7, 7) (dual of [21, 13, 8]-code) [i]Dual of a Near-MDS Code Is Again a Near-MDS Code
4No linear OA(714, 30, F7, 12) (dual of [30, 16, 13]-code) [i]Construction Y1 (Bound)