Information on Result #1192558
Digital (125, 148, 190654)-net over F8, using net defined by OOA based on linear OOA(8148, 190654, F8, 23, 23) (dual of [(190654, 23), 4384894, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8148, 2097195, F8, 23) (dual of [2097195, 2097047, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8141, 2097153, F8, 23) (dual of [2097153, 2097012, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 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(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 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 (126, 149, 190654)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (127, 150, 190654)-net over F8 | [i] | ||
| 3 | Digital (128, 151, 190654)-net over F8 | [i] | ||