Information on Result #1185244
Digital (163, 188, 14766)-net over F3, using net defined by OOA based on linear OOA(3188, 14766, F3, 25, 25) (dual of [(14766, 25), 368962, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3188, 177193, F3, 25) (dual of [177193, 177005, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-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 (164, 188, 14766)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (164, 189, 14766)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (163, 187, 14766)-net over F3 | [i] | m-Reduction | |