Information on Result #698572
Linear OA(6466, 262179, F64, 20) (dual of [262179, 262113, 21]-code), using construction X applied to Ce(19) ⊂ Ce(10) based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(6466, 262179, F64, 2, 20) (dual of [(262179, 2), 524292, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6466, 262179, F64, 3, 20) (dual of [(262179, 3), 786471, 21]-NRT-code) | [i] | ||
| 3 | Digital (46, 66, 262179)-net over F64 | [i] | ||
| 4 | Linear OOA(6466, 131089, F64, 2, 20) (dual of [(131089, 2), 262112, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6466, 87393, F64, 3, 20) (dual of [(87393, 3), 262113, 21]-NRT-code) | [i] | ||