Information on Result #1192714
Digital (117, 143, 20168)-net over F8, using net defined by OOA based on linear OOA(8143, 20168, F8, 26, 26) (dual of [(20168, 26), 524225, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(8143, 262184, F8, 26) (dual of [262184, 262041, 27]-code), using
- 3 times code embedding in larger space [i] based on linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(25) ⊂ Ce(19) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-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 (118, 144, 20168)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (119, 145, 20168)-net over F8 | [i] | ||