Information on Result #1841165
(64, 87, 23833)-net in base 32, using net defined by OOA based on OOA(3287, 23833, S32, 23, 23), using
- OOA 11-folding and stacking with additional row [i] based on OA(3287, 262164, S32, 23), using
- discarding factors based on OA(3287, 262168, S32, 23), using
- discarding parts of the base [i] based on linear OA(6472, 262168, F64, 23) (dual of [262168, 262096, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(6449, 262145, F64, 17) (dual of [262145, 262096, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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([0,11]) ⊂ C([0,8]) [i] based on
- discarding parts of the base [i] based on linear OA(6472, 262168, F64, 23) (dual of [262168, 262096, 24]-code), using
- discarding factors based on OA(3287, 262168, S32, 23), 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 | (65, 88, 23833)-net in base 32 | [i] | Net Duplication | |