Information on Result #698966
Linear OA(6487, 4128, F64, 39) (dual of [4128, 4041, 40]-code), using construction X applied to Ce(38) ⊂ Ce(27) based on
- linear OA(6477, 4096, F64, 39) (dual of [4096, 4019, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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 | OA(32105, 4128, S32, 39) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6487, 3653, F64, 2, 39) (dual of [(3653, 2), 7219, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6487, 3653, F64, 3, 39) (dual of [(3653, 3), 10872, 40]-NRT-code) | [i] | ||
| 4 | Digital (48, 87, 3653)-net over F64 | [i] | ||
| 5 | Linear OOA(6487, 2064, F64, 2, 39) (dual of [(2064, 2), 4041, 40]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6487, 1376, F64, 3, 39) (dual of [(1376, 3), 4041, 40]-NRT-code) | [i] | ||