Information on Result #698763
Linear OA(6452, 4101, F64, 26) (dual of [4101, 4049, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-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(8104, 8202, F8, 26) (dual of [8202, 8098, 27]-code) | [i] | Trace Code | |
| 2 | OA(3263, 4101, S32, 26) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6466, 4181, F64, 26) (dual of [4181, 4115, 27]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6468, 4205, F64, 26) (dual of [4205, 4137, 27]-code) | [i] | ||
| 5 | Linear OA(6470, 4229, F64, 26) (dual of [4229, 4159, 27]-code) | [i] | ||
| 6 | Linear OA(6463, 5775, F64, 26) (dual of [5775, 5712, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OOA(6452, 2050, F64, 2, 26) (dual of [(2050, 2), 4048, 27]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(6452, 1367, F64, 3, 26) (dual of [(1367, 3), 4049, 27]-NRT-code) | [i] | ||