Information on Result #1184332
Digital (232, 248, 4194300)-net over F3, using net defined by OOA based on linear OOA(3248, 4194300, F3, 20, 16) (dual of [(4194300, 20), 83885752, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3248, 8388601, F3, 4, 16) (dual of [(8388601, 4), 33554156, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3244, 8388600, F3, 4, 16) (dual of [(8388600, 4), 33554156, 17]-NRT-code), using
- trace code [i] based on linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- trace code [i] based on linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3244, 8388600, F3, 4, 16) (dual of [(8388600, 4), 33554156, 17]-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 (233, 249, 4194300)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (234, 250, 4194300)-net over F3 | [i] | ||