Information on Result #699008
Linear OA(6488, 4137, F64, 38) (dual of [4137, 4049, 39]-code), using construction X applied to Ce(37) ⊂ Ce(23) based on
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(6413, 41, F64, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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(32106, 4137, S32, 38) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6488, 2068, F64, 2, 38) (dual of [(2068, 2), 4048, 39]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6488, 1379, F64, 3, 38) (dual of [(1379, 3), 4049, 39]-NRT-code) | [i] | ||