Information on Result #1200808
Digital (18, 35, 301)-net over F49, using net defined by OOA based on linear OOA(4935, 301, F49, 17, 17) (dual of [(301, 17), 5082, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4935, 2409, F49, 17) (dual of [2409, 2374, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4933, 2401, F49, 17) (dual of [2401, 2368, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(492, 8, F49, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
Mode: Constructive and linear.
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 | Digital (19, 35, 301)-net over F49 | [i] | t-Expansion | |
| 2 | Digital (19, 36, 301)-net over F49 | [i] | Net Duplication | |
| 3 | Digital (20, 37, 301)-net over F49 | [i] | ||
| 4 | Digital (18, 34, 301)-net over F49 | [i] | m-Reduction | |