Information on Result #1840835
(39, 51, 349527)-net in base 32, using net defined by OOA based on OOA(3251, 349527, S32, 12, 12), using
- OA 6-folding and stacking [i] based on OA(3251, 2097162, S32, 12), using
- discarding factors based on OA(3251, 2097163, S32, 12), using
- discarding parts of the base [i] based on linear OA(12836, 2097163, F128, 12) (dual of [2097163, 2097127, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- discarding parts of the base [i] based on linear OA(12836, 2097163, F128, 12) (dual of [2097163, 2097127, 13]-code), using
- discarding factors based on OA(3251, 2097163, S32, 12), 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 | (40, 52, 349527)-net in base 32 | [i] | Net Duplication | |