Information on Result #698725
Linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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 | Linear OA(890, 8196, F8, 23) (dual of [8196, 8106, 24]-code) | [i] | Trace Code | |
| 2 | OA(3254, 4098, S32, 23) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6456, 4163, F64, 23) (dual of [4163, 4107, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6457, 4178, F64, 23) (dual of [4178, 4121, 24]-code) | [i] | ||
| 5 | Linear OA(6458, 4180, F64, 23) (dual of [4180, 4122, 24]-code) | [i] | ||
| 6 | Linear OA(6459, 4202, F64, 23) (dual of [4202, 4143, 24]-code) | [i] | ||
| 7 | Linear OA(6460, 4204, F64, 23) (dual of [4204, 4144, 24]-code) | [i] | ||
| 8 | Linear OA(6461, 4228, F64, 23) (dual of [4228, 4167, 24]-code) | [i] | ||
| 9 | Linear OA(6462, 4243, F64, 23) (dual of [4243, 4181, 24]-code) | [i] | ||
| 10 | Linear OA(6463, 4295, F64, 23) (dual of [4295, 4232, 24]-code) | [i] | ||
| 11 | Linear OA(6464, 4415, F64, 23) (dual of [4415, 4351, 24]-code) | [i] | ||
| 12 | Linear OA(6465, 4685, F64, 23) (dual of [4685, 4620, 24]-code) | [i] | ||
| 13 | Linear OA(6451, 4118, F64, 23) (dual of [4118, 4067, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(6452, 4150, F64, 23) (dual of [4150, 4098, 24]-code) | [i] | ||
| 15 | Linear OA(6453, 4236, F64, 23) (dual of [4236, 4183, 24]-code) | [i] | ||
| 16 | Linear OA(6454, 4450, F64, 23) (dual of [4450, 4396, 24]-code) | [i] | ||
| 17 | Linear OA(6455, 4919, F64, 23) (dual of [4919, 4864, 24]-code) | [i] | ||
| 18 | Linear OA(6456, 5741, F64, 23) (dual of [5741, 5685, 24]-code) | [i] | ||
| 19 | Linear OOA(6445, 2049, F64, 2, 23) (dual of [(2049, 2), 4053, 24]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(6445, 1366, F64, 3, 23) (dual of [(1366, 3), 4053, 24]-NRT-code) | [i] | ||