Information on Result #698573
Linear OA(6463, 262179, F64, 19) (dual of [262179, 262116, 20]-code), using construction X applied to Ce(18) ⊂ Ce(9) based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(648, 35, F64, 8) (dual of [35, 27, 9]-code or 35-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 | Linear OOA(6463, 262179, F64, 2, 19) (dual of [(262179, 2), 524295, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6463, 262179, F64, 3, 19) (dual of [(262179, 3), 786474, 20]-NRT-code) | [i] | ||
| 3 | Digital (44, 63, 262179)-net over F64 | [i] | ||
| 4 | Linear OOA(6463, 131089, F64, 2, 19) (dual of [(131089, 2), 262115, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6463, 87393, F64, 3, 19) (dual of [(87393, 3), 262116, 20]-NRT-code) | [i] | ||