Information on Result #1841207
(69, 94, 21847)-net in base 32, using net defined by OOA based on OOA(3294, 21847, S32, 25, 25), using
- OOA 12-folding and stacking with additional row [i] based on OA(3294, 262165, S32, 25), using
- discarding factors based on OA(3294, 262168, S32, 25), using
- discarding parts of the base [i] based on linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding parts of the base [i] based on linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code), using
- discarding factors based on OA(3294, 262168, S32, 25), 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 | (70, 95, 21847)-net in base 32 | [i] | Net Duplication | |