Information on Result #1192660
Digital (109, 134, 21848)-net over F8, using net defined by OOA based on linear OOA(8134, 21848, F8, 25, 25) (dual of [(21848, 25), 546066, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8134, 262177, F8, 25) (dual of [262177, 262043, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8134, 262181, F8, 25) (dual of [262181, 262047, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(8134, 262181, F8, 25) (dual of [262181, 262047, 26]-code), using
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 (110, 134, 21848)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (110, 135, 21848)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (111, 136, 21848)-net over F8 | [i] | ||
| 4 | Digital (112, 137, 21848)-net over F8 | [i] | ||