Information on Result #698964
Linear OA(6491, 4128, F64, 41) (dual of [4128, 4037, 42]-code), using construction X applied to Ce(40) ⊂ Ce(29) based on
- linear OA(6481, 4096, F64, 41) (dual of [4096, 4015, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6410, 32, F64, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), 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 | Linear OOA(6491, 3580, F64, 2, 41) (dual of [(3580, 2), 7069, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6491, 3580, F64, 3, 41) (dual of [(3580, 3), 10649, 42]-NRT-code) | [i] | ||
| 3 | Digital (50, 91, 3580)-net over F64 | [i] | ||
| 4 | Linear OOA(6491, 2064, F64, 2, 41) (dual of [(2064, 2), 4037, 42]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6491, 1376, F64, 3, 41) (dual of [(1376, 3), 4037, 42]-NRT-code) | [i] | ||