Information on Result #1193912
Digital (48, 64, 1641)-net over F9, using net defined by OOA based on linear OOA(964, 1641, F9, 16, 16) (dual of [(1641, 16), 26192, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(964, 13128, F9, 16) (dual of [13128, 13064, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(964, 13132, F9, 16) (dual of [13132, 13068, 17]-code), using
- trace code [i] based on linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- trace code [i] based on linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(964, 13132, F9, 16) (dual of [13132, 13068, 17]-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 (49, 65, 1641)-net over F9 | [i] | Net Duplication | |