Information on Result #1213285
Digital (85, 94, 4194900)-net over F5, using (u, u+v)-construction based on
- digital (8, 12, 600)-net over F5, using
- net defined by OOA [i] based on linear OOA(512, 600, F5, 4, 4) (dual of [(600, 4), 2388, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(512, 600, F5, 3, 4) (dual of [(600, 3), 1788, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(512, 1200, F5, 4) (dual of [1200, 1188, 5]-code), using
- trace code [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- 1 times truncation [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- trace code [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(512, 1200, F5, 4) (dual of [1200, 1188, 5]-code), using
- appending kth column [i] based on linear OOA(512, 600, F5, 3, 4) (dual of [(600, 3), 1788, 5]-NRT-code), using
- net defined by OOA [i] based on linear OOA(512, 600, F5, 4, 4) (dual of [(600, 4), 2388, 5]-NRT-code), using
- digital (73, 82, 4194300)-net over F5, using
- net defined by OOA [i] based on linear OOA(582, 4194300, F5, 10, 9) (dual of [(4194300, 10), 41942918, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(582, 8388601, F5, 2, 9) (dual of [(8388601, 2), 16777120, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(582, 8388602, F5, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- trace code [i] based on linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- trace code [i] based on linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(582, 8388602, F5, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(582, 8388601, F5, 2, 9) (dual of [(8388601, 2), 16777120, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(582, 4194300, F5, 10, 9) (dual of [(4194300, 10), 41942918, 10]-NRT-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, 95, 4194900)-net over F5 | [i] | Net Duplication | |