Information on Result #1208456
Digital (211, 228, 1195767)-net over F3, using (u, u+v)-construction based on
- digital (6, 14, 22)-net over F3, using
- digital (197, 214, 1195745)-net over F3, using
- net defined by OOA [i] based on linear OOA(3214, 1195745, F3, 18, 17) (dual of [(1195745, 18), 21523196, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3214, 4782981, F3, 2, 17) (dual of [(4782981, 2), 9565748, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3214, 4782984, F3, 2, 17) (dual of [(4782984, 2), 9565754, 18]-NRT-code), using
- trace code [i] based on linear OOA(9107, 2391492, F9, 2, 17) (dual of [(2391492, 2), 4782877, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(16) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code), using
- trace code [i] based on linear OOA(9107, 2391492, F9, 2, 17) (dual of [(2391492, 2), 4782877, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3214, 4782984, F3, 2, 17) (dual of [(4782984, 2), 9565754, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3214, 4782981, F3, 2, 17) (dual of [(4782981, 2), 9565748, 18]-NRT-code), using
- net defined by OOA [i] based on linear OOA(3214, 1195745, F3, 18, 17) (dual of [(1195745, 18), 21523196, 18]-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 (212, 229, 1195767)-net over F3 | [i] | Net Duplication | |