Information on Result #5088

There is no OA(3234, 239, S3, 159), because the (dual) Plotkin bound shows that M ≥ 358805 113110 950445 279469 426279 262434 966930 339114 122428 335494 730197 493691 743717 859849 693621 015768 243278 975535 908089 / 80 > 3234

Mode: Bound.

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 OA(3235, 240, S3, 160) [i]Truncation
2No OA(3236, 241, S3, 161) [i]
3No OOA(3235, 239, S3, 2, 160) [i]m-Reduction for OOAs
4No OOA(3236, 239, S3, 2, 161) [i]
5No OOA(3237, 239, S3, 2, 162) [i]
6No OOA(3238, 239, S3, 2, 163) [i]
7No OOA(3239, 239, S3, 2, 164) [i]
8No OOA(3240, 239, S3, 2, 165) [i]
9No OOA(3241, 239, S3, 2, 166) [i]
10No OOA(3242, 239, S3, 2, 167) [i]
11No OOA(3243, 239, S3, 2, 168) [i]
12No OOA(3244, 239, S3, 2, 169) [i]
13No OOA(3245, 239, S3, 2, 170) [i]
14No OOA(3246, 239, S3, 2, 171) [i]
15No OOA(3247, 239, S3, 2, 172) [i]
16No OOA(3248, 239, S3, 2, 173) [i]
17No OOA(3249, 239, S3, 2, 174) [i]
18No OOA(3250, 239, S3, 2, 175) [i]
19No OOA(3234, 239, S3, 2, 159) [i]Depth Reduction
20No OOA(3234, 239, S3, 3, 159) [i]
21No OOA(3234, 239, S3, 4, 159) [i]
22No OOA(3234, 239, S3, 5, 159) [i]
23No (75, 234, 239)-net in base 3 [i]Extracting Embedded Orthogonal Array