Information on Result #548171
There is no linear OA(287, 96, F2, 44) (dual of [96, 9, 45]-code), because “Ja†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(288, 97, F2, 45) (dual of [97, 9, 46]-code) | [i] | Truncation | |
| 2 | No linear OOA(288, 96, F2, 2, 45) (dual of [(96, 2), 104, 46]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(289, 96, F2, 2, 46) (dual of [(96, 2), 103, 47]-NRT-code) | [i] | ||
| 4 | No linear OOA(290, 96, F2, 2, 47) (dual of [(96, 2), 102, 48]-NRT-code) | [i] | ||
| 5 | No linear OOA(292, 96, F2, 2, 49) (dual of [(96, 2), 100, 50]-NRT-code) | [i] | ||
| 6 | No linear OOA(293, 96, F2, 2, 50) (dual of [(96, 2), 99, 51]-NRT-code) | [i] | ||
| 7 | No linear OOA(294, 96, F2, 2, 51) (dual of [(96, 2), 98, 52]-NRT-code) | [i] | ||
| 8 | No linear OOA(295, 96, F2, 2, 52) (dual of [(96, 2), 97, 53]-NRT-code) | [i] | ||
| 9 | No linear OOA(296, 96, F2, 2, 53) (dual of [(96, 2), 96, 54]-NRT-code) | [i] | ||
| 10 | No linear OOA(297, 96, F2, 2, 54) (dual of [(96, 2), 95, 55]-NRT-code) | [i] | ||
| 11 | No linear OOA(298, 96, F2, 2, 55) (dual of [(96, 2), 94, 56]-NRT-code) | [i] | ||
| 12 | No linear OOA(299, 96, F2, 2, 56) (dual of [(96, 2), 93, 57]-NRT-code) | [i] | ||
| 13 | No linear OOA(2100, 96, F2, 2, 57) (dual of [(96, 2), 92, 58]-NRT-code) | [i] | ||
| 14 | No linear OOA(2101, 96, F2, 2, 58) (dual of [(96, 2), 91, 59]-NRT-code) | [i] | ||
| 15 | No linear OOA(2102, 96, F2, 2, 59) (dual of [(96, 2), 90, 60]-NRT-code) | [i] | ||
| 16 | No linear OOA(2103, 96, F2, 2, 60) (dual of [(96, 2), 89, 61]-NRT-code) | [i] | ||
| 17 | No linear OOA(2104, 96, F2, 2, 61) (dual of [(96, 2), 88, 62]-NRT-code) | [i] | ||
| 18 | No linear OOA(2105, 96, F2, 2, 62) (dual of [(96, 2), 87, 63]-NRT-code) | [i] | ||
| 19 | No linear OOA(2106, 96, F2, 2, 63) (dual of [(96, 2), 86, 64]-NRT-code) | [i] | ||
| 20 | No linear OOA(2107, 96, F2, 2, 64) (dual of [(96, 2), 85, 65]-NRT-code) | [i] | ||
| 21 | No linear OOA(2108, 96, F2, 2, 65) (dual of [(96, 2), 84, 66]-NRT-code) | [i] | ||
| 22 | No linear OOA(2109, 96, F2, 2, 66) (dual of [(96, 2), 83, 67]-NRT-code) | [i] | ||
| 23 | No linear OOA(2110, 96, F2, 2, 67) (dual of [(96, 2), 82, 68]-NRT-code) | [i] | ||
| 24 | No linear OOA(2111, 96, F2, 2, 68) (dual of [(96, 2), 81, 69]-NRT-code) | [i] | ||
| 25 | No linear OOA(2112, 96, F2, 2, 69) (dual of [(96, 2), 80, 70]-NRT-code) | [i] | ||
| 26 | No linear OOA(2113, 96, F2, 2, 70) (dual of [(96, 2), 79, 71]-NRT-code) | [i] | ||
| 27 | No linear OOA(2114, 96, F2, 2, 71) (dual of [(96, 2), 78, 72]-NRT-code) | [i] | ||
| 28 | No linear OOA(2115, 96, F2, 2, 72) (dual of [(96, 2), 77, 73]-NRT-code) | [i] | ||
| 29 | No linear OOA(2116, 96, F2, 2, 73) (dual of [(96, 2), 76, 74]-NRT-code) | [i] | ||
| 30 | No linear OOA(2117, 96, F2, 2, 74) (dual of [(96, 2), 75, 75]-NRT-code) | [i] | ||
| 31 | No linear OOA(2118, 96, F2, 2, 75) (dual of [(96, 2), 74, 76]-NRT-code) | [i] | ||
| 32 | No linear OOA(2119, 96, F2, 2, 76) (dual of [(96, 2), 73, 77]-NRT-code) | [i] | ||
| 33 | No linear OOA(2120, 96, F2, 2, 77) (dual of [(96, 2), 72, 78]-NRT-code) | [i] | ||
| 34 | No linear OOA(2121, 96, F2, 2, 78) (dual of [(96, 2), 71, 79]-NRT-code) | [i] | ||
| 35 | No linear OOA(2122, 96, F2, 2, 79) (dual of [(96, 2), 70, 80]-NRT-code) | [i] | ||
| 36 | No linear OOA(2123, 96, F2, 2, 80) (dual of [(96, 2), 69, 81]-NRT-code) | [i] | ||
| 37 | No linear OOA(2124, 96, F2, 2, 81) (dual of [(96, 2), 68, 82]-NRT-code) | [i] | ||
| 38 | No linear OOA(2125, 96, F2, 2, 82) (dual of [(96, 2), 67, 83]-NRT-code) | [i] | ||
| 39 | No linear OOA(287, 96, F2, 2, 44) (dual of [(96, 2), 105, 45]-NRT-code) | [i] | Depth Reduction | |
| 40 | No linear OOA(287, 96, F2, 3, 44) (dual of [(96, 3), 201, 45]-NRT-code) | [i] | ||
| 41 | No linear OOA(287, 96, F2, 4, 44) (dual of [(96, 4), 297, 45]-NRT-code) | [i] | ||
| 42 | No linear OOA(287, 96, F2, 5, 44) (dual of [(96, 5), 393, 45]-NRT-code) | [i] | ||
| 43 | No linear OOA(287, 96, F2, 6, 44) (dual of [(96, 6), 489, 45]-NRT-code) | [i] | ||
| 44 | No linear OOA(287, 96, F2, 7, 44) (dual of [(96, 7), 585, 45]-NRT-code) | [i] | ||
| 45 | No linear OOA(287, 96, F2, 8, 44) (dual of [(96, 8), 681, 45]-NRT-code) | [i] | ||
| 46 | No digital (43, 87, 96)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 47 | No linear OA(2175, 185, F2, 88) (dual of [185, 10, 89]-code) | [i] | Residual Code | |