Information on Result #1185336
Digital (202, 228, 122643)-net over F3, using net defined by OOA based on linear OOA(3228, 122643, F3, 26, 26) (dual of [(122643, 26), 3188490, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3228, 1594359, F3, 26) (dual of [1594359, 1594131, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 1594368, F3, 26) (dual of [1594368, 1594140, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on 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(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3228, 1594368, F3, 26) (dual of [1594368, 1594140, 27]-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 (203, 229, 122643)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (204, 230, 122643)-net over F3 | [i] | ||
| 3 | Digital (205, 231, 122643)-net over F3 | [i] | ||