Information on Result #1201464
Digital (53, 69, 1048591)-net over F64, using net defined by OOA based on linear OOA(6469, 1048591, F64, 18, 16) (dual of [(1048591, 18), 18874569, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6469, 4194365, F64, 2, 16) (dual of [(4194365, 2), 8388661, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6469, 4194366, F64, 2, 16) (dual of [(4194366, 2), 8388663, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(648, 65, F64, 2, 8) (dual of [(65, 2), 122, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;122,64) [i]
- linear OOA(6461, 4194301, F64, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6461, 8388602, F64, 16) (dual of [8388602, 8388541, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- OOA 2-folding [i] based on linear OA(6461, 8388602, F64, 16) (dual of [8388602, 8388541, 17]-code), using
- linear OOA(648, 65, F64, 2, 8) (dual of [(65, 2), 122, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6469, 4194366, F64, 2, 16) (dual of [(4194366, 2), 8388663, 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 (122, 138, 2097182)-net over F8 | [i] | Trace Code for Nets | |