Information on Result #548438
There is no linear OA(327, 35, F3, 18) (dual of [35, 8, 19]-code), because residual code would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
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(328, 36, F3, 19) (dual of [36, 8, 20]-code) | [i] | Truncation | |
| 2 | No linear OOA(328, 35, F3, 2, 19) (dual of [(35, 2), 42, 20]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(331, 35, F3, 2, 22) (dual of [(35, 2), 39, 23]-NRT-code) | [i] | ||
| 4 | No linear OOA(332, 35, F3, 2, 23) (dual of [(35, 2), 38, 24]-NRT-code) | [i] | ||
| 5 | No linear OOA(333, 35, F3, 2, 24) (dual of [(35, 2), 37, 25]-NRT-code) | [i] | ||
| 6 | No linear OOA(334, 35, F3, 2, 25) (dual of [(35, 2), 36, 26]-NRT-code) | [i] | ||
| 7 | No linear OOA(335, 35, F3, 2, 26) (dual of [(35, 2), 35, 27]-NRT-code) | [i] | ||
| 8 | No linear OOA(336, 35, F3, 2, 27) (dual of [(35, 2), 34, 28]-NRT-code) | [i] | ||
| 9 | No linear OOA(337, 35, F3, 2, 28) (dual of [(35, 2), 33, 29]-NRT-code) | [i] | ||
| 10 | No linear OOA(338, 35, F3, 2, 29) (dual of [(35, 2), 32, 30]-NRT-code) | [i] | ||
| 11 | No linear OOA(339, 35, F3, 2, 30) (dual of [(35, 2), 31, 31]-NRT-code) | [i] | ||
| 12 | No linear OOA(340, 35, F3, 2, 31) (dual of [(35, 2), 30, 32]-NRT-code) | [i] | ||
| 13 | No linear OOA(341, 35, F3, 2, 32) (dual of [(35, 2), 29, 33]-NRT-code) | [i] | ||
| 14 | No linear OOA(342, 35, F3, 2, 33) (dual of [(35, 2), 28, 34]-NRT-code) | [i] | ||
| 15 | No linear OOA(343, 35, F3, 2, 34) (dual of [(35, 2), 27, 35]-NRT-code) | [i] | ||
| 16 | No linear OOA(344, 35, F3, 2, 35) (dual of [(35, 2), 26, 36]-NRT-code) | [i] | ||
| 17 | No linear OOA(345, 35, F3, 2, 36) (dual of [(35, 2), 25, 37]-NRT-code) | [i] | ||
| 18 | No linear OOA(346, 35, F3, 2, 37) (dual of [(35, 2), 24, 38]-NRT-code) | [i] | ||
| 19 | No linear OOA(347, 35, F3, 2, 38) (dual of [(35, 2), 23, 39]-NRT-code) | [i] | ||
| 20 | No linear OOA(348, 35, F3, 2, 39) (dual of [(35, 2), 22, 40]-NRT-code) | [i] | ||
| 21 | No linear OOA(349, 35, F3, 2, 40) (dual of [(35, 2), 21, 41]-NRT-code) | [i] | ||
| 22 | No linear OOA(350, 35, F3, 2, 41) (dual of [(35, 2), 20, 42]-NRT-code) | [i] | ||
| 23 | No linear OOA(351, 35, F3, 2, 42) (dual of [(35, 2), 19, 43]-NRT-code) | [i] | ||
| 24 | No linear OOA(352, 35, F3, 2, 43) (dual of [(35, 2), 18, 44]-NRT-code) | [i] | ||
| 25 | No linear OOA(327, 35, F3, 2, 18) (dual of [(35, 2), 43, 19]-NRT-code) | [i] | Depth Reduction | |
| 26 | No linear OOA(327, 35, F3, 3, 18) (dual of [(35, 3), 78, 19]-NRT-code) | [i] | ||
| 27 | No linear OOA(327, 35, F3, 4, 18) (dual of [(35, 4), 113, 19]-NRT-code) | [i] | ||
| 28 | No linear OOA(327, 35, F3, 5, 18) (dual of [(35, 5), 148, 19]-NRT-code) | [i] | ||
| 29 | No digital (9, 27, 35)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 30 | No linear OA(381, 90, F3, 54) (dual of [90, 9, 55]-code) | [i] | Residual Code | |
| 31 | No linear OA(328, 47, F3, 18) (dual of [47, 19, 19]-code) | [i] | Construction Y1 (Bound) | |