Information on Result #1189116
Digital (88, 105, 48829)-net over F5, using net defined by OOA based on linear OOA(5105, 48829, F5, 17, 17) (dual of [(48829, 17), 829988, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(5105, 390633, F5, 17) (dual of [390633, 390528, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [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 (89, 106, 48829)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (90, 107, 48829)-net over F5 | [i] | ||
| 3 | Digital (96, 113, 48835)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (97, 114, 48839)-net over F5 | [i] | ||
| 5 | Digital (98, 115, 48841)-net over F5 | [i] | ||
| 6 | Digital (99, 116, 48845)-net over F5 | [i] | ||
| 7 | Digital (100, 117, 48847)-net over F5 | [i] | ||