Information on Result #698946
Linear OA(6455, 4122, F64, 24) (dual of [4122, 4067, 25]-code), using construction X applied to Ce(23) ⊂ Ce(14) based on
- 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(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(648, 26, F64, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), 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(3266, 4122, S32, 24) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6455, 3888, F64, 2, 24) (dual of [(3888, 2), 7721, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6455, 3888, F64, 3, 24) (dual of [(3888, 3), 11609, 25]-NRT-code) | [i] | ||
| 4 | Digital (31, 55, 3888)-net over F64 | [i] | ||
| 5 | Linear OOA(6455, 2061, F64, 2, 24) (dual of [(2061, 2), 4067, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6455, 1374, F64, 3, 24) (dual of [(1374, 3), 4067, 25]-NRT-code) | [i] | ||