Information on Result #1213233
Digital (76, 84, 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 (64, 72, 4194300)-net over F5, using
- net defined by OOA [i] based on linear OOA(572, 4194300, F5, 10, 8) (dual of [(4194300, 10), 41942928, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(572, 8388601, F5, 2, 8) (dual of [(8388601, 2), 16777130, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(572, 8388602, F5, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
- trace code [i] based on linear OOA(2536, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-code), using
- trace code [i] based on linear OOA(2536, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(572, 8388602, F5, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(572, 8388601, F5, 2, 8) (dual of [(8388601, 2), 16777130, 9]-NRT-code), using
- net defined by OOA [i] based on linear OOA(572, 4194300, F5, 10, 8) (dual of [(4194300, 10), 41942928, 9]-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 (77, 85, 4194900)-net over F5 | [i] | Net Duplication | |