Information on Result #1770313
Digital (201, 228, 177167)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3228, 177167, F3, 3, 27) (dual of [(177167, 3), 531273, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3228, 531501, F3, 27) (dual of [531501, 531273, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(3217, 531442, F3, 27) (dual of [531442, 531225, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3169, 531442, F3, 21) (dual of [531442, 531273, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
Mode: 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 (202, 229, 177167)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (203, 230, 177167)-net over F3 | [i] | ||