Information on Result #548214
There is no linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-code), because “vE1†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(336, 41, F3, 25) (dual of [41, 5, 26]-code) | [i] | Truncation | |
| 2 | No linear OA(337, 42, F3, 26) (dual of [42, 5, 27]-code) | [i] | ||
| 3 | No linear OOA(336, 40, F3, 2, 25) (dual of [(40, 2), 44, 26]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(337, 40, F3, 2, 26) (dual of [(40, 2), 43, 27]-NRT-code) | [i] | ||
| 5 | No linear OOA(338, 40, F3, 2, 27) (dual of [(40, 2), 42, 28]-NRT-code) | [i] | ||
| 6 | No linear OOA(339, 40, F3, 2, 28) (dual of [(40, 2), 41, 29]-NRT-code) | [i] | ||
| 7 | No linear OOA(340, 40, F3, 2, 29) (dual of [(40, 2), 40, 30]-NRT-code) | [i] | ||
| 8 | No linear OOA(341, 40, F3, 2, 30) (dual of [(40, 2), 39, 31]-NRT-code) | [i] | ||
| 9 | No linear OOA(342, 40, F3, 2, 31) (dual of [(40, 2), 38, 32]-NRT-code) | [i] | ||
| 10 | No linear OOA(343, 40, F3, 2, 32) (dual of [(40, 2), 37, 33]-NRT-code) | [i] | ||
| 11 | No linear OOA(344, 40, F3, 2, 33) (dual of [(40, 2), 36, 34]-NRT-code) | [i] | ||
| 12 | No linear OOA(345, 40, F3, 2, 34) (dual of [(40, 2), 35, 35]-NRT-code) | [i] | ||
| 13 | No linear OOA(346, 40, F3, 2, 35) (dual of [(40, 2), 34, 36]-NRT-code) | [i] | ||
| 14 | No linear OOA(347, 40, F3, 2, 36) (dual of [(40, 2), 33, 37]-NRT-code) | [i] | ||
| 15 | No linear OOA(348, 40, F3, 2, 37) (dual of [(40, 2), 32, 38]-NRT-code) | [i] | ||
| 16 | No linear OOA(349, 40, F3, 2, 38) (dual of [(40, 2), 31, 39]-NRT-code) | [i] | ||
| 17 | No linear OOA(350, 40, F3, 2, 39) (dual of [(40, 2), 30, 40]-NRT-code) | [i] | ||
| 18 | No linear OOA(351, 40, F3, 2, 40) (dual of [(40, 2), 29, 41]-NRT-code) | [i] | ||
| 19 | No linear OOA(352, 40, F3, 2, 41) (dual of [(40, 2), 28, 42]-NRT-code) | [i] | ||
| 20 | No linear OOA(353, 40, F3, 2, 42) (dual of [(40, 2), 27, 43]-NRT-code) | [i] | ||
| 21 | No linear OOA(354, 40, F3, 2, 43) (dual of [(40, 2), 26, 44]-NRT-code) | [i] | ||
| 22 | No linear OOA(355, 40, F3, 2, 44) (dual of [(40, 2), 25, 45]-NRT-code) | [i] | ||
| 23 | No linear OOA(356, 40, F3, 2, 45) (dual of [(40, 2), 24, 46]-NRT-code) | [i] | ||
| 24 | No linear OOA(357, 40, F3, 2, 46) (dual of [(40, 2), 23, 47]-NRT-code) | [i] | ||
| 25 | No linear OOA(358, 40, F3, 2, 47) (dual of [(40, 2), 22, 48]-NRT-code) | [i] | ||
| 26 | No linear OOA(359, 40, F3, 2, 48) (dual of [(40, 2), 21, 49]-NRT-code) | [i] | ||
| 27 | No linear OOA(360, 40, F3, 2, 49) (dual of [(40, 2), 20, 50]-NRT-code) | [i] | ||
| 28 | No linear OOA(361, 40, F3, 2, 50) (dual of [(40, 2), 19, 51]-NRT-code) | [i] | ||
| 29 | No linear OOA(335, 40, F3, 2, 24) (dual of [(40, 2), 45, 25]-NRT-code) | [i] | Depth Reduction | |
| 30 | No linear OOA(335, 40, F3, 3, 24) (dual of [(40, 3), 85, 25]-NRT-code) | [i] | ||
| 31 | No linear OOA(335, 40, F3, 4, 24) (dual of [(40, 4), 125, 25]-NRT-code) | [i] | ||
| 32 | No linear OOA(335, 40, F3, 5, 24) (dual of [(40, 5), 165, 25]-NRT-code) | [i] | ||
| 33 | No digital (11, 35, 40)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 34 | No linear OA(3107, 113, F3, 72) (dual of [113, 6, 73]-code) | [i] | Residual Code | |
| 35 | No linear OA(336, 46, F3, 24) (dual of [46, 10, 25]-code) | [i] | Construction Y1 (Bound) | |