Information on Result #698877
Linear OA(6452, 4113, F64, 24) (dual of [4113, 4061, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) 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(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(645, 17, F64, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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 OA(8104, 8226, F8, 24) (dual of [8226, 8122, 25]-code) | [i] | Trace Code | |
| 2 | OA(3263, 4113, S32, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6452, 2201, F64, 2, 24) (dual of [(2201, 2), 4350, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(6452, 2201, F64, 3, 24) (dual of [(2201, 3), 6551, 25]-NRT-code) | [i] | ||
| 5 | Digital (28, 52, 2201)-net over F64 | [i] | ||
| 6 | Linear OOA(6452, 2056, F64, 2, 24) (dual of [(2056, 2), 4060, 25]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(6452, 1371, F64, 3, 24) (dual of [(1371, 3), 4061, 25]-NRT-code) | [i] | ||