Information on Result #698543
Linear OA(6485, 262171, F64, 27) (dual of [262171, 262086, 28]-code), using construction X applied to Ce(26) ⊂ Ce(19) based on
- linear OA(6479, 262144, F64, 27) (dual of [262144, 262065, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), 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(32102, 262171, S32, 27) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6485, 189244, F64, 2, 27) (dual of [(189244, 2), 378403, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6485, 189244, F64, 3, 27) (dual of [(189244, 3), 567647, 28]-NRT-code) | [i] | ||
| 4 | Digital (58, 85, 189244)-net over F64 | [i] | ||
| 5 | Linear OOA(6485, 131085, F64, 2, 27) (dual of [(131085, 2), 262085, 28]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6485, 87390, F64, 3, 27) (dual of [(87390, 3), 262085, 28]-NRT-code) | [i] | ||