Information on Result #698512
Linear OA(6489, 262163, F64, 29) (dual of [262163, 262074, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) based on
- linear OA(6485, 262144, F64, 29) (dual of [262144, 262059, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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 | OA(32107, 262163, S32, 29) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6489, 133608, F64, 2, 29) (dual of [(133608, 2), 267127, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6489, 133608, F64, 3, 29) (dual of [(133608, 3), 400735, 30]-NRT-code) | [i] | ||
| 4 | Digital (60, 89, 133608)-net over F64 | [i] | ||
| 5 | Linear OOA(6489, 131081, F64, 2, 29) (dual of [(131081, 2), 262073, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6489, 87387, F64, 3, 29) (dual of [(87387, 3), 262072, 30]-NRT-code) | [i] | ||