Information on Result #1824294
(78, 108, 17477)-net in base 32, using base change based on digital (60, 90, 17477)-net over F64, using
- net defined by OOA [i] based on linear OOA(6490, 17477, F64, 30, 30) (dual of [(17477, 30), 524220, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(6490, 262155, F64, 30) (dual of [262155, 262065, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- linear OA(6488, 262144, F64, 30) (dual of [262144, 262056, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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
- construction X applied to Ce(29) ⊂ Ce(26) [i] based on
- OA 15-folding and stacking [i] based on linear OA(6490, 262155, F64, 30) (dual of [262155, 262065, 31]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (79, 109, 17477)-net in base 32 | [i] | Net Duplication | |
| 2 | (80, 110, 17477)-net in base 32 | [i] | ||