Information on Result #548225
There is no linear OA(366, 71, F3, 45) (dual of [71, 5, 46]-code), because “HW1†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(367, 72, F3, 46) (dual of [72, 5, 47]-code) | [i] | Truncation | |
| 2 | No linear OA(368, 73, F3, 47) (dual of [73, 5, 48]-code) | [i] | ||
| 3 | No linear OOA(367, 71, F3, 2, 46) (dual of [(71, 2), 75, 47]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(368, 71, F3, 2, 47) (dual of [(71, 2), 74, 48]-NRT-code) | [i] | ||
| 5 | No linear OOA(369, 71, F3, 2, 48) (dual of [(71, 2), 73, 49]-NRT-code) | [i] | ||
| 6 | No linear OOA(370, 71, F3, 2, 49) (dual of [(71, 2), 72, 50]-NRT-code) | [i] | ||
| 7 | No linear OOA(371, 71, F3, 2, 50) (dual of [(71, 2), 71, 51]-NRT-code) | [i] | ||
| 8 | No linear OOA(372, 71, F3, 2, 51) (dual of [(71, 2), 70, 52]-NRT-code) | [i] | ||
| 9 | No linear OOA(373, 71, F3, 2, 52) (dual of [(71, 2), 69, 53]-NRT-code) | [i] | ||
| 10 | No linear OOA(374, 71, F3, 2, 53) (dual of [(71, 2), 68, 54]-NRT-code) | [i] | ||
| 11 | No linear OOA(375, 71, F3, 2, 54) (dual of [(71, 2), 67, 55]-NRT-code) | [i] | ||
| 12 | No linear OOA(376, 71, F3, 2, 55) (dual of [(71, 2), 66, 56]-NRT-code) | [i] | ||
| 13 | No linear OOA(377, 71, F3, 2, 56) (dual of [(71, 2), 65, 57]-NRT-code) | [i] | ||
| 14 | No linear OOA(378, 71, F3, 2, 57) (dual of [(71, 2), 64, 58]-NRT-code) | [i] | ||
| 15 | No linear OOA(379, 71, F3, 2, 58) (dual of [(71, 2), 63, 59]-NRT-code) | [i] | ||
| 16 | No linear OOA(380, 71, F3, 2, 59) (dual of [(71, 2), 62, 60]-NRT-code) | [i] | ||
| 17 | No linear OOA(381, 71, F3, 2, 60) (dual of [(71, 2), 61, 61]-NRT-code) | [i] | ||
| 18 | No linear OOA(382, 71, F3, 2, 61) (dual of [(71, 2), 60, 62]-NRT-code) | [i] | ||
| 19 | No linear OOA(383, 71, F3, 2, 62) (dual of [(71, 2), 59, 63]-NRT-code) | [i] | ||
| 20 | No linear OOA(384, 71, F3, 2, 63) (dual of [(71, 2), 58, 64]-NRT-code) | [i] | ||
| 21 | No linear OOA(385, 71, F3, 2, 64) (dual of [(71, 2), 57, 65]-NRT-code) | [i] | ||
| 22 | No linear OOA(386, 71, F3, 2, 65) (dual of [(71, 2), 56, 66]-NRT-code) | [i] | ||
| 23 | No linear OOA(387, 71, F3, 2, 66) (dual of [(71, 2), 55, 67]-NRT-code) | [i] | ||
| 24 | No linear OOA(388, 71, F3, 2, 67) (dual of [(71, 2), 54, 68]-NRT-code) | [i] | ||
| 25 | No linear OOA(389, 71, F3, 2, 68) (dual of [(71, 2), 53, 69]-NRT-code) | [i] | ||
| 26 | No linear OOA(390, 71, F3, 2, 69) (dual of [(71, 2), 52, 70]-NRT-code) | [i] | ||
| 27 | No linear OOA(391, 71, F3, 2, 70) (dual of [(71, 2), 51, 71]-NRT-code) | [i] | ||
| 28 | No linear OOA(392, 71, F3, 2, 71) (dual of [(71, 2), 50, 72]-NRT-code) | [i] | ||
| 29 | No linear OOA(393, 71, F3, 2, 72) (dual of [(71, 2), 49, 73]-NRT-code) | [i] | ||
| 30 | No linear OOA(394, 71, F3, 2, 73) (dual of [(71, 2), 48, 74]-NRT-code) | [i] | ||
| 31 | No linear OOA(395, 71, F3, 2, 74) (dual of [(71, 2), 47, 75]-NRT-code) | [i] | ||
| 32 | No linear OOA(396, 71, F3, 2, 75) (dual of [(71, 2), 46, 76]-NRT-code) | [i] | ||
| 33 | No linear OOA(397, 71, F3, 2, 76) (dual of [(71, 2), 45, 77]-NRT-code) | [i] | ||
| 34 | No linear OOA(398, 71, F3, 2, 77) (dual of [(71, 2), 44, 78]-NRT-code) | [i] | ||
| 35 | No linear OOA(399, 71, F3, 2, 78) (dual of [(71, 2), 43, 79]-NRT-code) | [i] | ||
| 36 | No linear OOA(3100, 71, F3, 2, 79) (dual of [(71, 2), 42, 80]-NRT-code) | [i] | ||
| 37 | No linear OOA(3101, 71, F3, 2, 80) (dual of [(71, 2), 41, 81]-NRT-code) | [i] | ||
| 38 | No linear OOA(3102, 71, F3, 2, 81) (dual of [(71, 2), 40, 82]-NRT-code) | [i] | ||
| 39 | No linear OOA(3103, 71, F3, 2, 82) (dual of [(71, 2), 39, 83]-NRT-code) | [i] | ||
| 40 | No linear OOA(3104, 71, F3, 2, 83) (dual of [(71, 2), 38, 84]-NRT-code) | [i] | ||
| 41 | No linear OOA(3105, 71, F3, 2, 84) (dual of [(71, 2), 37, 85]-NRT-code) | [i] | ||
| 42 | No linear OOA(3106, 71, F3, 2, 85) (dual of [(71, 2), 36, 86]-NRT-code) | [i] | ||
| 43 | No linear OOA(3107, 71, F3, 2, 86) (dual of [(71, 2), 35, 87]-NRT-code) | [i] | ||
| 44 | No linear OOA(3108, 71, F3, 2, 87) (dual of [(71, 2), 34, 88]-NRT-code) | [i] | ||
| 45 | No linear OOA(3109, 71, F3, 2, 88) (dual of [(71, 2), 33, 89]-NRT-code) | [i] | ||
| 46 | No linear OOA(366, 71, F3, 2, 45) (dual of [(71, 2), 76, 46]-NRT-code) | [i] | Depth Reduction | |
| 47 | No linear OOA(366, 71, F3, 3, 45) (dual of [(71, 3), 147, 46]-NRT-code) | [i] | ||
| 48 | No linear OOA(366, 71, F3, 4, 45) (dual of [(71, 4), 218, 46]-NRT-code) | [i] | ||
| 49 | No linear OOA(366, 71, F3, 5, 45) (dual of [(71, 5), 289, 46]-NRT-code) | [i] | ||
| 50 | No digital (21, 66, 71)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 51 | No linear OA(3201, 207, F3, 135) (dual of [207, 6, 136]-code) | [i] | Residual Code | |