Information on Result #13664
There is no OA(310, 172, S3, 4), because the Rao or (dual) Hamming bound shows that M ≥ 59169 > 310
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(311, 173, S3, 5) | [i] | Truncation | |
| 2 | No linear OA(3162, 172, F3, 108) (dual of [172, 10, 109]-code) | [i] | Construction Y1 (Bound) | |
| 3 | No linear OA(3166, 176, F3, 111) (dual of [176, 10, 112]-code) | [i] | ||
| 4 | No linear OA(3170, 180, F3, 114) (dual of [180, 10, 115]-code) | [i] | ||
| 5 | No linear OA(3175, 185, F3, 117) (dual of [185, 10, 118]-code) | [i] | ||
| 6 | No linear OA(3179, 189, F3, 120) (dual of [189, 10, 121]-code) | [i] | ||
| 7 | No linear OA(3188, 198, F3, 126) (dual of [198, 10, 127]-code) | [i] | ||
| 8 | No linear OA(3202, 212, F3, 135) (dual of [212, 10, 136]-code) | [i] | ||
| 9 | No linear OA(3243, 253, F3, 162) (dual of [253, 10, 163]-code) | [i] | ||
| 10 | No linear OA(3247, 257, F3, 165) (dual of [257, 10, 166]-code) | [i] | ||
| 11 | No linear OA(3193, 203, F3, 129) (dual of [203, 10, 130]-code) | [i] | ||
| 12 | No linear OA(3197, 207, F3, 132) (dual of [207, 10, 133]-code) | [i] | ||
| 13 | No linear OA(3229, 239, F3, 153) (dual of [239, 10, 154]-code) | [i] | ||