Information on Result #698740
Linear OA(6425, 4098, F64, 13) (dual of [4098, 4073, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(850, 8196, F8, 13) (dual of [8196, 8146, 14]-code) | [i] | Trace Code | |
| 2 | OA(3230, 4098, S32, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6431, 4163, F64, 13) (dual of [4163, 4132, 14]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6432, 4178, F64, 13) (dual of [4178, 4146, 14]-code) | [i] | ||
| 5 | Linear OA(6433, 4180, F64, 13) (dual of [4180, 4147, 14]-code) | [i] | ||
| 6 | Linear OA(6434, 4228, F64, 13) (dual of [4228, 4194, 14]-code) | [i] | ||
| 7 | Linear OA(6435, 4415, F64, 13) (dual of [4415, 4380, 14]-code) | [i] | ||
| 8 | Linear OA(6429, 4132, F64, 13) (dual of [4132, 4103, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(6430, 4233, F64, 13) (dual of [4233, 4203, 14]-code) | [i] | ||
| 10 | Linear OA(6431, 4600, F64, 13) (dual of [4600, 4569, 14]-code) | [i] | ||
| 11 | Linear OA(6432, 5679, F64, 13) (dual of [5679, 5647, 14]-code) | [i] | ||
| 12 | Linear OOA(6425, 2049, F64, 2, 13) (dual of [(2049, 2), 4073, 14]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(6425, 1366, F64, 3, 13) (dual of [(1366, 3), 4073, 14]-NRT-code) | [i] | ||