Information on Result #3228044
Digital (89, 113, 2733)-net over F8, using t-expansion based on digital (88, 113, 2733)-net over F8, using
- net defined by OOA [i] based on linear OOA(8113, 2733, F8, 25, 25) (dual of [(2733, 25), 68212, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8113, 32797, F8, 25) (dual of [32797, 32684, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 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(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8113, 32797, F8, 25) (dual of [32797, 32684, 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 (90, 114, 2733)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (91, 115, 2733)-net over F8 | [i] | ||