Information on Result #698714
Linear OA(6459, 4098, F64, 30) (dual of [4098, 4039, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6457, 4096, F64, 29) (dual of [4096, 4039, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(8118, 8196, F8, 30) (dual of [8196, 8078, 31]-code) | [i] | Trace Code | |
| 2 | OA(3271, 4098, S32, 30) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6474, 4163, F64, 30) (dual of [4163, 4089, 31]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6475, 4178, F64, 30) (dual of [4178, 4103, 31]-code) | [i] | ||
| 5 | Linear OA(6476, 4180, F64, 30) (dual of [4180, 4104, 31]-code) | [i] | ||
| 6 | Linear OA(6477, 4202, F64, 30) (dual of [4202, 4125, 31]-code) | [i] | ||
| 7 | Linear OA(6478, 4204, F64, 30) (dual of [4204, 4126, 31]-code) | [i] | ||
| 8 | Linear OA(6479, 4226, F64, 30) (dual of [4226, 4147, 31]-code) | [i] | ||
| 9 | Linear OA(6480, 4228, F64, 30) (dual of [4228, 4148, 31]-code) | [i] | ||
| 10 | Linear OA(6481, 4275, F64, 30) (dual of [4275, 4194, 31]-code) | [i] | ||
| 11 | Linear OA(6482, 4277, F64, 30) (dual of [4277, 4195, 31]-code) | [i] | ||
| 12 | Linear OA(6483, 4279, F64, 30) (dual of [4279, 4196, 31]-code) | [i] | ||
| 13 | Linear OA(6484, 4297, F64, 30) (dual of [4297, 4213, 31]-code) | [i] | ||
| 14 | Linear OA(6486, 4553, F64, 30) (dual of [4553, 4467, 31]-code) | [i] | ||
| 15 | Linear OA(6467, 4141, F64, 30) (dual of [4141, 4074, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 16 | Linear OA(6468, 4192, F64, 30) (dual of [4192, 4124, 31]-code) | [i] | ||
| 17 | Linear OA(6469, 4305, F64, 30) (dual of [4305, 4236, 31]-code) | [i] | ||
| 18 | Linear OA(6470, 4544, F64, 30) (dual of [4544, 4474, 31]-code) | [i] | ||
| 19 | Linear OA(6471, 4993, F64, 30) (dual of [4993, 4922, 31]-code) | [i] | ||
| 20 | Linear OA(6472, 5678, F64, 30) (dual of [5678, 5606, 31]-code) | [i] | ||
| 21 | Linear OOA(6459, 2049, F64, 2, 30) (dual of [(2049, 2), 4039, 31]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(6459, 1366, F64, 3, 30) (dual of [(1366, 3), 4039, 31]-NRT-code) | [i] | ||