Information on Result #1184076
Digital (97, 112, 25310)-net over F3, using net defined by OOA based on linear OOA(3112, 25310, F3, 15, 15) (dual of [(25310, 15), 379538, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3112, 177171, F3, 15) (dual of [177171, 177059, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3111, 177148, F3, 15) (dual of [177148, 177037, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(389, 177148, F3, 13) (dual of [177148, 177059, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 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 C([0,7]) ⊂ C([0,6]) [i] based on
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 (98, 113, 25310)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (99, 114, 25310)-net over F3 | [i] | ||
| 3 | Digital (100, 115, 25310)-net over F3 | [i] | ||
| 4 | Digital (101, 116, 25310)-net over F3 | [i] | ||