Information on Result #698493
Linear OA(6433, 262155, F64, 11) (dual of [262155, 262122, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- 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(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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(1650, 262155, S16, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3240, 262155, S32, 11) | [i] | ||
| 3 | Linear OOA(6433, 173930, F64, 2, 11) (dual of [(173930, 2), 347827, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(6433, 173930, F64, 3, 11) (dual of [(173930, 3), 521757, 12]-NRT-code) | [i] | ||
| 5 | Digital (22, 33, 173930)-net over F64 | [i] | ||
| 6 | Linear OOA(6433, 131077, F64, 2, 11) (dual of [(131077, 2), 262121, 12]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(6433, 87385, F64, 3, 11) (dual of [(87385, 3), 262122, 12]-NRT-code) | [i] | ||