Information on Result #1184094
Digital (117, 132, 227764)-net over F3, using net defined by OOA based on linear OOA(3132, 227764, F3, 15, 15) (dual of [(227764, 15), 3416328, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3132, 1594349, F3, 15) (dual of [1594349, 1594217, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3132, 1594351, F3, 15) (dual of [1594351, 1594219, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3105, 1594324, F3, 13) (dual of [1594324, 1594219, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(31, 27, F3, 1) (dual of [27, 26, 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
- discarding factors / shortening the dual code based on linear OA(3132, 1594351, F3, 15) (dual of [1594351, 1594219, 16]-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 (118, 133, 227764)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (119, 134, 227764)-net over F3 | [i] | ||
| 3 | Digital (120, 135, 227764)-net over F3 | [i] | ||