Information on Result #548213
There is no linear OA(331, 37, F3, 21) (dual of [37, 6, 22]-code), because “Bou†bound on codes from Brouwer’s database
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(332, 38, F3, 22) (dual of [38, 6, 23]-code) | [i] | Truncation | |
| 2 | No linear OA(333, 39, F3, 23) (dual of [39, 6, 24]-code) | [i] | ||
| 3 | No linear OOA(332, 37, F3, 2, 22) (dual of [(37, 2), 42, 23]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(333, 37, F3, 2, 23) (dual of [(37, 2), 41, 24]-NRT-code) | [i] | ||
| 5 | No linear OOA(334, 37, F3, 2, 24) (dual of [(37, 2), 40, 25]-NRT-code) | [i] | ||
| 6 | No linear OOA(335, 37, F3, 2, 25) (dual of [(37, 2), 39, 26]-NRT-code) | [i] | ||
| 7 | No linear OOA(336, 37, F3, 2, 26) (dual of [(37, 2), 38, 27]-NRT-code) | [i] | ||
| 8 | No linear OOA(337, 37, F3, 2, 27) (dual of [(37, 2), 37, 28]-NRT-code) | [i] | ||
| 9 | No linear OOA(338, 37, F3, 2, 28) (dual of [(37, 2), 36, 29]-NRT-code) | [i] | ||
| 10 | No linear OOA(339, 37, F3, 2, 29) (dual of [(37, 2), 35, 30]-NRT-code) | [i] | ||
| 11 | No linear OOA(340, 37, F3, 2, 30) (dual of [(37, 2), 34, 31]-NRT-code) | [i] | ||
| 12 | No linear OOA(341, 37, F3, 2, 31) (dual of [(37, 2), 33, 32]-NRT-code) | [i] | ||
| 13 | No linear OOA(342, 37, F3, 2, 32) (dual of [(37, 2), 32, 33]-NRT-code) | [i] | ||
| 14 | No linear OOA(343, 37, F3, 2, 33) (dual of [(37, 2), 31, 34]-NRT-code) | [i] | ||
| 15 | No linear OOA(344, 37, F3, 2, 34) (dual of [(37, 2), 30, 35]-NRT-code) | [i] | ||
| 16 | No linear OOA(345, 37, F3, 2, 35) (dual of [(37, 2), 29, 36]-NRT-code) | [i] | ||
| 17 | No linear OOA(346, 37, F3, 2, 36) (dual of [(37, 2), 28, 37]-NRT-code) | [i] | ||
| 18 | No linear OOA(347, 37, F3, 2, 37) (dual of [(37, 2), 27, 38]-NRT-code) | [i] | ||
| 19 | No linear OOA(348, 37, F3, 2, 38) (dual of [(37, 2), 26, 39]-NRT-code) | [i] | ||
| 20 | No linear OOA(349, 37, F3, 2, 39) (dual of [(37, 2), 25, 40]-NRT-code) | [i] | ||
| 21 | No linear OOA(350, 37, F3, 2, 40) (dual of [(37, 2), 24, 41]-NRT-code) | [i] | ||
| 22 | No linear OOA(351, 37, F3, 2, 41) (dual of [(37, 2), 23, 42]-NRT-code) | [i] | ||
| 23 | No linear OOA(352, 37, F3, 2, 42) (dual of [(37, 2), 22, 43]-NRT-code) | [i] | ||
| 24 | No linear OOA(353, 37, F3, 2, 43) (dual of [(37, 2), 21, 44]-NRT-code) | [i] | ||
| 25 | No linear OOA(354, 37, F3, 2, 44) (dual of [(37, 2), 20, 45]-NRT-code) | [i] | ||
| 26 | No linear OOA(355, 37, F3, 2, 45) (dual of [(37, 2), 19, 46]-NRT-code) | [i] | ||
| 27 | No linear OOA(356, 37, F3, 2, 46) (dual of [(37, 2), 18, 47]-NRT-code) | [i] | ||
| 28 | No linear OOA(357, 37, F3, 2, 47) (dual of [(37, 2), 17, 48]-NRT-code) | [i] | ||
| 29 | No linear OOA(331, 37, F3, 2, 21) (dual of [(37, 2), 43, 22]-NRT-code) | [i] | Depth Reduction | |
| 30 | No linear OOA(331, 37, F3, 3, 21) (dual of [(37, 3), 80, 22]-NRT-code) | [i] | ||
| 31 | No linear OOA(331, 37, F3, 4, 21) (dual of [(37, 4), 117, 22]-NRT-code) | [i] | ||
| 32 | No linear OOA(331, 37, F3, 5, 21) (dual of [(37, 5), 154, 22]-NRT-code) | [i] | ||
| 33 | No digital (10, 31, 37)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 34 | No linear OA(394, 101, F3, 63) (dual of [101, 7, 64]-code) | [i] | Residual Code | |
| 35 | No linear OA(332, 45, F3, 21) (dual of [45, 13, 22]-code) | [i] | Construction Y1 (Bound) | |