Information on Result #1183698
Digital (102, 114, 797166)-net over F3, using net defined by OOA based on linear OOA(3114, 797166, F3, 12, 12) (dual of [(797166, 12), 9565878, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(3114, 4782996, F3, 12) (dual of [4782996, 4782882, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 29, F3, 1) (dual of [29, 28, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-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 (103, 115, 797166)-net over F3 | [i] | Net Duplication | |