Information on Result #1841449
(37, 51, 299595)-net in base 64, using net defined by OOA based on OOA(6451, 299595, S64, 14, 14), using
- OA 7-folding and stacking [i] based on OA(6451, 2097165, S64, 14), using
- discarding factors based on OA(6451, 2097167, S64, 14), using
- discarding parts of the base [i] based on linear OA(12843, 2097167, F128, 14) (dual of [2097167, 2097124, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1283, 15, F128, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,128) or 15-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding parts of the base [i] based on linear OA(12843, 2097167, F128, 14) (dual of [2097167, 2097124, 15]-code), using
- discarding factors based on OA(6451, 2097167, S64, 14), 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 | (38, 52, 299595)-net in base 64 | [i] | Net Duplication | |