Information on Result #1184560
Digital (157, 175, 531446)-net over F3, using net defined by OOA based on linear OOA(3175, 531446, F3, 18, 18) (dual of [(531446, 18), 9565853, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(3175, 4783014, F3, 18) (dual of [4783014, 4782839, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-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 (158, 176, 531446)-net over F3 | [i] | Net Duplication | |