Information on Result #698571
Linear OA(6469, 262179, F64, 21) (dual of [262179, 262110, 22]-code), using construction X applied to Ce(20) ⊂ Ce(11) based on
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(6469, 262179, F64, 2, 21) (dual of [(262179, 2), 524289, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6469, 262179, F64, 3, 21) (dual of [(262179, 3), 786468, 22]-NRT-code) | [i] | ||
| 3 | Digital (48, 69, 262179)-net over F64 | [i] | ||
| 4 | Linear OOA(6469, 131089, F64, 2, 21) (dual of [(131089, 2), 262109, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6469, 87393, F64, 3, 21) (dual of [(87393, 3), 262110, 22]-NRT-code) | [i] | ||