Information on Result #3230142
Digital (131, 155, 174766)-net over F8, using t-expansion based on digital (130, 155, 174766)-net over F8, using
- net defined by OOA [i] based on linear OOA(8155, 174766, F8, 25, 25) (dual of [(174766, 25), 4368995, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8155, 2097193, F8, 25) (dual of [2097193, 2097038, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8155, 2097194, F8, 25) (dual of [2097194, 2097039, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 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(8155, 2097194, F8, 25) (dual of [2097194, 2097039, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8155, 2097193, F8, 25) (dual of [2097193, 2097038, 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 (132, 156, 174766)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (133, 157, 174766)-net over F8 | [i] | ||