Information on Result #1205118
Digital (184, 200, 1195746)-net over F3, using trace code for nets based on digital (84, 100, 597873)-net over F9, using
- net defined by OOA [i] based on linear OOA(9100, 597873, F9, 16, 16) (dual of [(597873, 16), 9565868, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(9100, 4782984, F9, 16) (dual of [4782984, 4782884, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- OA 8-folding and stacking [i] based on linear OA(9100, 4782984, F9, 16) (dual of [4782984, 4782884, 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 (185, 201, 1195746)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (198, 214, 1195768)-net over F3 | [i] | (u, u+v)-Construction for Nets | |