Information on Result #1192096
Digital (92, 110, 233019)-net over F8, using net defined by OOA based on linear OOA(8110, 233019, F8, 18, 18) (dual of [(233019, 18), 4194232, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(8110, 2097171, F8, 18) (dual of [2097171, 2097061, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8110, 2097177, F8, 18) (dual of [2097177, 2097067, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(8110, 2097177, F8, 18) (dual of [2097177, 2097067, 19]-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 (93, 111, 233019)-net over F8 | [i] | Net Duplication | |