Information on Result #527507
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 OOA(353, 56, F3, 2, 37) (dual of [(56, 2), 59, 38]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(354, 56, F3, 2, 38) (dual of [(56, 2), 58, 39]-NRT-code) | [i] | ||
| 3 | No linear OOA(355, 56, F3, 2, 39) (dual of [(56, 2), 57, 40]-NRT-code) | [i] | ||
| 4 | No linear OOA(356, 56, F3, 2, 40) (dual of [(56, 2), 56, 41]-NRT-code) | [i] | ||
| 5 | No linear OOA(357, 56, F3, 2, 41) (dual of [(56, 2), 55, 42]-NRT-code) | [i] | ||
| 6 | No linear OOA(358, 56, F3, 2, 42) (dual of [(56, 2), 54, 43]-NRT-code) | [i] | ||
| 7 | No linear OOA(359, 56, F3, 2, 43) (dual of [(56, 2), 53, 44]-NRT-code) | [i] | ||
| 8 | No linear OOA(360, 56, F3, 2, 44) (dual of [(56, 2), 52, 45]-NRT-code) | [i] | ||
| 9 | No linear OOA(361, 56, F3, 2, 45) (dual of [(56, 2), 51, 46]-NRT-code) | [i] | ||
| 10 | No linear OOA(362, 56, F3, 2, 46) (dual of [(56, 2), 50, 47]-NRT-code) | [i] | ||
| 11 | No linear OOA(363, 56, F3, 2, 47) (dual of [(56, 2), 49, 48]-NRT-code) | [i] | ||
| 12 | No linear OOA(364, 56, F3, 2, 48) (dual of [(56, 2), 48, 49]-NRT-code) | [i] | ||
| 13 | No linear OOA(365, 56, F3, 2, 49) (dual of [(56, 2), 47, 50]-NRT-code) | [i] | ||
| 14 | No linear OOA(366, 56, F3, 2, 50) (dual of [(56, 2), 46, 51]-NRT-code) | [i] | ||
| 15 | No linear OOA(367, 56, F3, 2, 51) (dual of [(56, 2), 45, 52]-NRT-code) | [i] | ||
| 16 | No linear OOA(368, 56, F3, 2, 52) (dual of [(56, 2), 44, 53]-NRT-code) | [i] | ||
| 17 | No linear OOA(369, 56, F3, 2, 53) (dual of [(56, 2), 43, 54]-NRT-code) | [i] | ||
| 18 | No linear OOA(370, 56, F3, 2, 54) (dual of [(56, 2), 42, 55]-NRT-code) | [i] | ||
| 19 | No linear OOA(371, 56, F3, 2, 55) (dual of [(56, 2), 41, 56]-NRT-code) | [i] | ||
| 20 | No linear OOA(372, 56, F3, 2, 56) (dual of [(56, 2), 40, 57]-NRT-code) | [i] | ||
| 21 | No linear OOA(373, 56, F3, 2, 57) (dual of [(56, 2), 39, 58]-NRT-code) | [i] | ||
| 22 | No linear OOA(374, 56, F3, 2, 58) (dual of [(56, 2), 38, 59]-NRT-code) | [i] | ||
| 23 | No linear OOA(375, 56, F3, 2, 59) (dual of [(56, 2), 37, 60]-NRT-code) | [i] | ||
| 24 | No linear OOA(376, 56, F3, 2, 60) (dual of [(56, 2), 36, 61]-NRT-code) | [i] | ||
| 25 | No linear OOA(377, 56, F3, 2, 61) (dual of [(56, 2), 35, 62]-NRT-code) | [i] | ||
| 26 | No linear OOA(378, 56, F3, 2, 62) (dual of [(56, 2), 34, 63]-NRT-code) | [i] | ||
| 27 | No linear OOA(379, 56, F3, 2, 63) (dual of [(56, 2), 33, 64]-NRT-code) | [i] | ||
| 28 | No linear OOA(380, 56, F3, 2, 64) (dual of [(56, 2), 32, 65]-NRT-code) | [i] | ||
| 29 | No linear OOA(381, 56, F3, 2, 65) (dual of [(56, 2), 31, 66]-NRT-code) | [i] | ||
| 30 | No linear OOA(382, 56, F3, 2, 66) (dual of [(56, 2), 30, 67]-NRT-code) | [i] | ||
| 31 | No linear OOA(383, 56, F3, 2, 67) (dual of [(56, 2), 29, 68]-NRT-code) | [i] | ||
| 32 | No linear OOA(384, 56, F3, 2, 68) (dual of [(56, 2), 28, 69]-NRT-code) | [i] | ||
| 33 | No linear OOA(385, 56, F3, 2, 69) (dual of [(56, 2), 27, 70]-NRT-code) | [i] | ||
| 34 | No linear OOA(352, 56, F3, 2, 36) (dual of [(56, 2), 60, 37]-NRT-code) | [i] | Depth Reduction | |
| 35 | No linear OOA(352, 56, F3, 3, 36) (dual of [(56, 3), 116, 37]-NRT-code) | [i] | ||
| 36 | No linear OOA(352, 56, F3, 4, 36) (dual of [(56, 4), 172, 37]-NRT-code) | [i] | ||
| 37 | No linear OOA(352, 56, F3, 5, 36) (dual of [(56, 5), 228, 37]-NRT-code) | [i] | ||
| 38 | No digital (16, 52, 56)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 39 | No linear OA(353, 59, F3, 36) (dual of [59, 6, 37]-code) | [i] | Construction Y1 (Bound) | |