Information on Result #1192526
Digital (85, 108, 2982)-net over F8, using net defined by OOA based on linear OOA(8108, 2982, F8, 23, 23) (dual of [(2982, 23), 68478, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8108, 32803, F8, 23) (dual of [32803, 32695, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8108, 32806, F8, 23) (dual of [32806, 32698, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [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(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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 C([0,11]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8108, 32806, F8, 23) (dual of [32806, 32698, 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 (86, 109, 2982)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (87, 110, 2982)-net over F8 | [i] | ||
| 3 | Digital (88, 111, 2982)-net over F8 | [i] | ||