Information on Result #548285

There is no linear OA(913, 17, F9, 12) (dual of [17, 4, 13]-code), because “MPa” bound on codes from Brouwer’s database

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(914, 18, F9, 13) (dual of [18, 4, 14]-code) [i]Truncation
2No linear OA(915, 19, F9, 14) (dual of [19, 4, 15]-code) [i]
3No linear OA(916, 20, F9, 15) (dual of [20, 4, 16]-code) [i]
4No linear OOA(930, 17, F9, 2, 29) (dual of [(17, 2), 4, 30]-NRT-code) [i]m-Reduction for OOAs
5No linear OOA(947, 17, F9, 3, 46) (dual of [(17, 3), 4, 47]-NRT-code) [i]
6No linear OOA(913, 17, F9, 2, 12) (dual of [(17, 2), 21, 13]-NRT-code) [i]Depth Reduction
7No linear OOA(913, 17, F9, 3, 12) (dual of [(17, 3), 38, 13]-NRT-code) [i]
8No linear OA(9121, 126, F9, 108) (dual of [126, 5, 109]-code) [i]Residual Code
9No linear OA(914, 44, F9, 12) (dual of [44, 30, 13]-code) [i]Construction Y1 (Bound)