Information on Result #1191798
Digital (75, 89, 299597)-net over F8, using net defined by OOA based on linear OOA(889, 299597, F8, 14, 14) (dual of [(299597, 14), 4194269, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(889, 2097179, F8, 14) (dual of [2097179, 2097090, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(889, 2097184, F8, 14) (dual of [2097184, 2097095, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,8)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(889, 2097184, F8, 14) (dual of [2097184, 2097095, 15]-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 (76, 90, 299597)-net over F8 | [i] | Net Duplication | |