Information on Result #548158
There is no linear OA(278, 85, F2, 40) (dual of [85, 7, 41]-code), because “Hel†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(279, 86, F2, 41) (dual of [86, 7, 42]-code) | [i] | Truncation | |
| 2 | No linear OOA(279, 85, F2, 2, 41) (dual of [(85, 2), 91, 42]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(280, 85, F2, 2, 42) (dual of [(85, 2), 90, 43]-NRT-code) | [i] | ||
| 4 | No linear OOA(281, 85, F2, 2, 43) (dual of [(85, 2), 89, 44]-NRT-code) | [i] | ||
| 5 | No linear OOA(282, 85, F2, 2, 44) (dual of [(85, 2), 88, 45]-NRT-code) | [i] | ||
| 6 | No linear OOA(283, 85, F2, 2, 45) (dual of [(85, 2), 87, 46]-NRT-code) | [i] | ||
| 7 | No linear OOA(284, 85, F2, 2, 46) (dual of [(85, 2), 86, 47]-NRT-code) | [i] | ||
| 8 | No linear OOA(285, 85, F2, 2, 47) (dual of [(85, 2), 85, 48]-NRT-code) | [i] | ||
| 9 | No linear OOA(286, 85, F2, 2, 48) (dual of [(85, 2), 84, 49]-NRT-code) | [i] | ||
| 10 | No linear OOA(287, 85, F2, 2, 49) (dual of [(85, 2), 83, 50]-NRT-code) | [i] | ||
| 11 | No linear OOA(288, 85, F2, 2, 50) (dual of [(85, 2), 82, 51]-NRT-code) | [i] | ||
| 12 | No linear OOA(289, 85, F2, 2, 51) (dual of [(85, 2), 81, 52]-NRT-code) | [i] | ||
| 13 | No linear OOA(290, 85, F2, 2, 52) (dual of [(85, 2), 80, 53]-NRT-code) | [i] | ||
| 14 | No linear OOA(291, 85, F2, 2, 53) (dual of [(85, 2), 79, 54]-NRT-code) | [i] | ||
| 15 | No linear OOA(292, 85, F2, 2, 54) (dual of [(85, 2), 78, 55]-NRT-code) | [i] | ||
| 16 | No linear OOA(293, 85, F2, 2, 55) (dual of [(85, 2), 77, 56]-NRT-code) | [i] | ||
| 17 | No linear OOA(294, 85, F2, 2, 56) (dual of [(85, 2), 76, 57]-NRT-code) | [i] | ||
| 18 | No linear OOA(295, 85, F2, 2, 57) (dual of [(85, 2), 75, 58]-NRT-code) | [i] | ||
| 19 | No linear OOA(296, 85, F2, 2, 58) (dual of [(85, 2), 74, 59]-NRT-code) | [i] | ||
| 20 | No linear OOA(297, 85, F2, 2, 59) (dual of [(85, 2), 73, 60]-NRT-code) | [i] | ||
| 21 | No linear OOA(298, 85, F2, 2, 60) (dual of [(85, 2), 72, 61]-NRT-code) | [i] | ||
| 22 | No linear OOA(299, 85, F2, 2, 61) (dual of [(85, 2), 71, 62]-NRT-code) | [i] | ||
| 23 | No linear OOA(2100, 85, F2, 2, 62) (dual of [(85, 2), 70, 63]-NRT-code) | [i] | ||
| 24 | No linear OOA(2101, 85, F2, 2, 63) (dual of [(85, 2), 69, 64]-NRT-code) | [i] | ||
| 25 | No linear OOA(2102, 85, F2, 2, 64) (dual of [(85, 2), 68, 65]-NRT-code) | [i] | ||
| 26 | No linear OOA(2103, 85, F2, 2, 65) (dual of [(85, 2), 67, 66]-NRT-code) | [i] | ||
| 27 | No linear OOA(2104, 85, F2, 2, 66) (dual of [(85, 2), 66, 67]-NRT-code) | [i] | ||
| 28 | No linear OOA(2105, 85, F2, 2, 67) (dual of [(85, 2), 65, 68]-NRT-code) | [i] | ||
| 29 | No linear OOA(2106, 85, F2, 2, 68) (dual of [(85, 2), 64, 69]-NRT-code) | [i] | ||
| 30 | No linear OOA(2107, 85, F2, 2, 69) (dual of [(85, 2), 63, 70]-NRT-code) | [i] | ||
| 31 | No linear OOA(2108, 85, F2, 2, 70) (dual of [(85, 2), 62, 71]-NRT-code) | [i] | ||
| 32 | No linear OOA(2109, 85, F2, 2, 71) (dual of [(85, 2), 61, 72]-NRT-code) | [i] | ||
| 33 | No linear OOA(2110, 85, F2, 2, 72) (dual of [(85, 2), 60, 73]-NRT-code) | [i] | ||
| 34 | No linear OOA(2111, 85, F2, 2, 73) (dual of [(85, 2), 59, 74]-NRT-code) | [i] | ||
| 35 | No linear OOA(278, 85, F2, 2, 40) (dual of [(85, 2), 92, 41]-NRT-code) | [i] | Depth Reduction | |
| 36 | No linear OOA(278, 85, F2, 3, 40) (dual of [(85, 3), 177, 41]-NRT-code) | [i] | ||
| 37 | No linear OOA(278, 85, F2, 4, 40) (dual of [(85, 4), 262, 41]-NRT-code) | [i] | ||
| 38 | No linear OOA(278, 85, F2, 5, 40) (dual of [(85, 5), 347, 41]-NRT-code) | [i] | ||
| 39 | No linear OOA(278, 85, F2, 6, 40) (dual of [(85, 6), 432, 41]-NRT-code) | [i] | ||
| 40 | No linear OOA(278, 85, F2, 7, 40) (dual of [(85, 7), 517, 41]-NRT-code) | [i] | ||
| 41 | No linear OOA(278, 85, F2, 8, 40) (dual of [(85, 8), 602, 41]-NRT-code) | [i] | ||
| 42 | No digital (38, 78, 85)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 43 | No linear OA(2158, 166, F2, 80) (dual of [166, 8, 81]-code) | [i] | Residual Code | |