Information on Result #698536
Linear OA(6463, 262167, F64, 20) (dual of [262167, 262104, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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(3276, 262167, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6463, 199553, F64, 2, 20) (dual of [(199553, 2), 399043, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6463, 199553, F64, 3, 20) (dual of [(199553, 3), 598596, 21]-NRT-code) | [i] | ||
| 4 | Digital (43, 63, 199553)-net over F64 | [i] | ||
| 5 | Linear OOA(6463, 131083, F64, 2, 20) (dual of [(131083, 2), 262103, 21]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6463, 87389, F64, 3, 20) (dual of [(87389, 3), 262104, 21]-NRT-code) | [i] | ||