Information on Result #546659

There is no linear OA(3153, 258, F3, 96) (dual of [258, 105, 97]-code), because residual code would yield OA(357, 161, S3, 32), but

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(3154, 259, F3, 97) (dual of [259, 105, 98]-code) [i]Truncation
2No linear OA(3155, 260, F3, 98) (dual of [260, 105, 99]-code) [i]
3No linear OOA(3154, 258, F3, 2, 97) (dual of [(258, 2), 362, 98]-NRT-code) [i]m-Reduction for OOAs
4No linear OOA(3155, 258, F3, 2, 98) (dual of [(258, 2), 361, 99]-NRT-code) [i]
5No linear OOA(3153, 258, F3, 2, 96) (dual of [(258, 2), 363, 97]-NRT-code) [i]Depth Reduction
6No linear OOA(3153, 258, F3, 3, 96) (dual of [(258, 3), 621, 97]-NRT-code) [i]
7No linear OOA(3153, 258, F3, 4, 96) (dual of [(258, 4), 879, 97]-NRT-code) [i]
8No linear OOA(3153, 258, F3, 5, 96) (dual of [(258, 5), 1137, 97]-NRT-code) [i]
9No digital (57, 153, 258)-net over F3 [i]Extracting Embedded Orthogonal Array