Information on Result #546573
There is no linear OA(326, 31, F3, 18) (dual of [31, 5, 19]-code), because residual code would yield linear OA(38, 12, F3, 6) (dual of [12, 4, 7]-code), 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.
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 linear OA(327, 32, F3, 19) (dual of [32, 5, 20]-code) | [i] | Truncation | |
| 2 | No linear OA(328, 33, F3, 20) (dual of [33, 5, 21]-code) | [i] | ||
| 3 | No linear OOA(327, 31, F3, 2, 19) (dual of [(31, 2), 35, 20]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(328, 31, F3, 2, 20) (dual of [(31, 2), 34, 21]-NRT-code) | [i] | ||
| 5 | No linear OOA(329, 31, F3, 2, 21) (dual of [(31, 2), 33, 22]-NRT-code) | [i] | ||
| 6 | No linear OOA(330, 31, F3, 2, 22) (dual of [(31, 2), 32, 23]-NRT-code) | [i] | ||
| 7 | No linear OOA(331, 31, F3, 2, 23) (dual of [(31, 2), 31, 24]-NRT-code) | [i] | ||
| 8 | No linear OOA(332, 31, F3, 2, 24) (dual of [(31, 2), 30, 25]-NRT-code) | [i] | ||
| 9 | No linear OOA(333, 31, F3, 2, 25) (dual of [(31, 2), 29, 26]-NRT-code) | [i] | ||
| 10 | No linear OOA(334, 31, F3, 2, 26) (dual of [(31, 2), 28, 27]-NRT-code) | [i] | ||
| 11 | No linear OOA(335, 31, F3, 2, 27) (dual of [(31, 2), 27, 28]-NRT-code) | [i] | ||
| 12 | No linear OOA(336, 31, F3, 2, 28) (dual of [(31, 2), 26, 29]-NRT-code) | [i] | ||
| 13 | No linear OOA(337, 31, F3, 2, 29) (dual of [(31, 2), 25, 30]-NRT-code) | [i] | ||
| 14 | No linear OOA(338, 31, F3, 2, 30) (dual of [(31, 2), 24, 31]-NRT-code) | [i] | ||
| 15 | No linear OOA(339, 31, F3, 2, 31) (dual of [(31, 2), 23, 32]-NRT-code) | [i] | ||
| 16 | No linear OOA(326, 31, F3, 2, 18) (dual of [(31, 2), 36, 19]-NRT-code) | [i] | Depth Reduction | |
| 17 | No linear OOA(326, 31, F3, 3, 18) (dual of [(31, 3), 67, 19]-NRT-code) | [i] | ||
| 18 | No linear OOA(326, 31, F3, 4, 18) (dual of [(31, 4), 98, 19]-NRT-code) | [i] | ||
| 19 | No linear OOA(326, 31, F3, 5, 18) (dual of [(31, 5), 129, 19]-NRT-code) | [i] | ||
| 20 | No digital (8, 26, 31)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 21 | No linear OA(380, 86, F3, 54) (dual of [86, 6, 55]-code) | [i] | Residual Code | |
| 22 | No linear OA(327, 37, F3, 18) (dual of [37, 10, 19]-code) | [i] | Construction Y1 (Bound) | |