Information on Result #698396
Linear OA(6466, 262168, F64, 21) (dual of [262168, 262102, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(6461, 262145, F64, 21) (dual of [262145, 262084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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(3280, 262168, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6466, 190060, F64, 2, 21) (dual of [(190060, 2), 380054, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6466, 190060, F64, 3, 21) (dual of [(190060, 3), 570114, 22]-NRT-code) | [i] | ||
| 4 | Digital (45, 66, 190060)-net over F64 | [i] | ||
| 5 | Linear OOA(6466, 131084, F64, 2, 21) (dual of [(131084, 2), 262102, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6466, 87389, F64, 3, 21) (dual of [(87389, 3), 262101, 22]-NRT-code) | [i] | ||