Information on Result #1192524
Digital (82, 105, 2981)-net over F8, using net defined by OOA based on linear OOA(8105, 2981, F8, 23, 23) (dual of [(2981, 23), 68458, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8105, 32792, F8, 23) (dual of [32792, 32687, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8105, 32793, F8, 23) (dual of [32793, 32688, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(8101, 32769, F8, 23) (dual of [32769, 32668, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(881, 32769, F8, 19) (dual of [32769, 32688, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8105, 32793, F8, 23) (dual of [32793, 32688, 24]-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 (83, 106, 2981)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (84, 107, 2981)-net over F8 | [i] | ||
| 3 | Digital (82, 104, 2981)-net over F8 | [i] | m-Reduction | |