Information on Result #547643
There is no linear OA(3266, 99, F32, 64) (dual of [99, 33, 65]-code), because residual code would yield OA(322, 34, S32, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 1055 > 322 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3267, 100, F32, 65) (dual of [100, 33, 66]-code) | [i] | Truncation | |
| 2 | No linear OA(3268, 101, F32, 66) (dual of [101, 33, 67]-code) | [i] | ||
| 3 | No linear OA(3269, 102, F32, 67) (dual of [102, 33, 68]-code) | [i] | ||
| 4 | No linear OA(3270, 103, F32, 68) (dual of [103, 33, 69]-code) | [i] | ||
| 5 | No linear OA(3271, 104, F32, 69) (dual of [104, 33, 70]-code) | [i] | ||
| 6 | No linear OA(3272, 105, F32, 70) (dual of [105, 33, 71]-code) | [i] | ||
| 7 | No linear OA(3273, 106, F32, 71) (dual of [106, 33, 72]-code) | [i] | ||
| 8 | No linear OA(3274, 107, F32, 72) (dual of [107, 33, 73]-code) | [i] | ||
| 9 | No linear OA(3275, 108, F32, 73) (dual of [108, 33, 74]-code) | [i] | ||
| 10 | No linear OA(3276, 109, F32, 74) (dual of [109, 33, 75]-code) | [i] | ||
| 11 | No linear OA(3277, 110, F32, 75) (dual of [110, 33, 76]-code) | [i] | ||
| 12 | No linear OA(3278, 111, F32, 76) (dual of [111, 33, 77]-code) | [i] | ||
| 13 | No linear OA(3279, 112, F32, 77) (dual of [112, 33, 78]-code) | [i] | ||
| 14 | No linear OA(3280, 113, F32, 78) (dual of [113, 33, 79]-code) | [i] | ||
| 15 | No linear OA(3281, 114, F32, 79) (dual of [114, 33, 80]-code) | [i] | ||
| 16 | No linear OA(3282, 115, F32, 80) (dual of [115, 33, 81]-code) | [i] | ||
| 17 | No linear OA(3283, 116, F32, 81) (dual of [116, 33, 82]-code) | [i] | ||
| 18 | No linear OA(3284, 117, F32, 82) (dual of [117, 33, 83]-code) | [i] | ||
| 19 | No linear OA(3285, 118, F32, 83) (dual of [118, 33, 84]-code) | [i] | ||
| 20 | No linear OA(3286, 119, F32, 84) (dual of [119, 33, 85]-code) | [i] | ||
| 21 | No linear OOA(3267, 99, F32, 2, 65) (dual of [(99, 2), 131, 66]-NRT-code) | [i] | m-Reduction for OOAs | |
| 22 | No linear OOA(3268, 99, F32, 2, 66) (dual of [(99, 2), 130, 67]-NRT-code) | [i] | ||
| 23 | No linear OOA(3269, 99, F32, 2, 67) (dual of [(99, 2), 129, 68]-NRT-code) | [i] | ||
| 24 | No linear OOA(3270, 99, F32, 2, 68) (dual of [(99, 2), 128, 69]-NRT-code) | [i] | ||
| 25 | No linear OOA(3271, 99, F32, 2, 69) (dual of [(99, 2), 127, 70]-NRT-code) | [i] | ||
| 26 | No linear OOA(3272, 99, F32, 2, 70) (dual of [(99, 2), 126, 71]-NRT-code) | [i] | ||
| 27 | No linear OOA(3273, 99, F32, 2, 71) (dual of [(99, 2), 125, 72]-NRT-code) | [i] | ||
| 28 | No linear OOA(3274, 99, F32, 2, 72) (dual of [(99, 2), 124, 73]-NRT-code) | [i] | ||
| 29 | No linear OOA(3275, 99, F32, 2, 73) (dual of [(99, 2), 123, 74]-NRT-code) | [i] | ||
| 30 | No linear OOA(3276, 99, F32, 2, 74) (dual of [(99, 2), 122, 75]-NRT-code) | [i] | ||
| 31 | No linear OOA(3277, 99, F32, 2, 75) (dual of [(99, 2), 121, 76]-NRT-code) | [i] | ||
| 32 | No linear OOA(3278, 99, F32, 2, 76) (dual of [(99, 2), 120, 77]-NRT-code) | [i] | ||
| 33 | No linear OOA(3279, 99, F32, 2, 77) (dual of [(99, 2), 119, 78]-NRT-code) | [i] | ||
| 34 | No linear OOA(3280, 99, F32, 2, 78) (dual of [(99, 2), 118, 79]-NRT-code) | [i] | ||
| 35 | No linear OOA(3281, 99, F32, 2, 79) (dual of [(99, 2), 117, 80]-NRT-code) | [i] | ||
| 36 | No linear OOA(3282, 99, F32, 2, 80) (dual of [(99, 2), 116, 81]-NRT-code) | [i] | ||
| 37 | No linear OOA(3283, 99, F32, 2, 81) (dual of [(99, 2), 115, 82]-NRT-code) | [i] | ||
| 38 | No linear OOA(3284, 99, F32, 2, 82) (dual of [(99, 2), 114, 83]-NRT-code) | [i] | ||
| 39 | No linear OOA(3285, 99, F32, 2, 83) (dual of [(99, 2), 113, 84]-NRT-code) | [i] | ||
| 40 | No linear OOA(3286, 99, F32, 2, 84) (dual of [(99, 2), 112, 85]-NRT-code) | [i] | ||
| 41 | No linear OOA(3266, 99, F32, 2, 64) (dual of [(99, 2), 132, 65]-NRT-code) | [i] | Depth Reduction | |
| 42 | No digital (2, 66, 99)-net over F32 | [i] | Extracting Embedded Orthogonal Array | |
| 43 | No linear OA(3264, 130, F32, 62) (dual of [130, 66, 63]-code) | [i] | Construction Y1 (Bound) | |