Information on Result #698723
Linear OA(6447, 4098, F64, 24) (dual of [4098, 4051, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(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(894, 8196, F8, 24) (dual of [8196, 8102, 25]-code) | [i] | Trace Code | |
| 2 | OA(3257, 4098, S32, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6459, 4163, F64, 24) (dual of [4163, 4104, 25]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6460, 4178, F64, 24) (dual of [4178, 4118, 25]-code) | [i] | ||
| 5 | Linear OA(6461, 4180, F64, 24) (dual of [4180, 4119, 25]-code) | [i] | ||
| 6 | Linear OA(6462, 4202, F64, 24) (dual of [4202, 4140, 25]-code) | [i] | ||
| 7 | Linear OA(6463, 4204, F64, 24) (dual of [4204, 4141, 25]-code) | [i] | ||
| 8 | Linear OA(6464, 4226, F64, 24) (dual of [4226, 4162, 25]-code) | [i] | ||
| 9 | Linear OA(6465, 4228, F64, 24) (dual of [4228, 4163, 25]-code) | [i] | ||
| 10 | Linear OA(6466, 4275, F64, 24) (dual of [4275, 4209, 25]-code) | [i] | ||
| 11 | Linear OA(6467, 4297, F64, 24) (dual of [4297, 4230, 25]-code) | [i] | ||
| 12 | Linear OA(6468, 4416, F64, 24) (dual of [4416, 4348, 25]-code) | [i] | ||
| 13 | Linear OA(6453, 4118, F64, 24) (dual of [4118, 4065, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(6454, 4148, F64, 24) (dual of [4148, 4094, 25]-code) | [i] | ||
| 15 | Linear OA(6455, 4224, F64, 24) (dual of [4224, 4169, 25]-code) | [i] | ||
| 16 | Linear OA(6456, 4400, F64, 24) (dual of [4400, 4344, 25]-code) | [i] | ||
| 17 | Linear OA(6457, 4773, F64, 24) (dual of [4773, 4716, 25]-code) | [i] | ||
| 18 | Linear OA(6458, 5453, F64, 24) (dual of [5453, 5395, 25]-code) | [i] | ||
| 19 | Linear OOA(6447, 2049, F64, 2, 24) (dual of [(2049, 2), 4051, 25]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(6447, 1366, F64, 3, 24) (dual of [(1366, 3), 4051, 25]-NRT-code) | [i] | ||