Information on Result #698919
Linear OA(6470, 4119, F64, 32) (dual of [4119, 4049, 33]-code), using construction X applied to Ce(31) ⊂ Ce(23) based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(647, 23, F64, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), 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(3284, 4119, S32, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6470, 2713, F64, 2, 32) (dual of [(2713, 2), 5356, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6470, 2713, F64, 3, 32) (dual of [(2713, 3), 8069, 33]-NRT-code) | [i] | ||
| 4 | Digital (38, 70, 2713)-net over F64 | [i] | ||
| 5 | Linear OOA(6470, 2059, F64, 2, 32) (dual of [(2059, 2), 4048, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6470, 1373, F64, 3, 32) (dual of [(1373, 3), 4049, 33]-NRT-code) | [i] | ||