Information on Result #1222171
Digital (63, 76, 1398604)-net over F27, using (u, u+v)-construction based on
- digital (9, 15, 504)-net over F27, using
- net defined by OOA [i] based on linear OOA(2715, 504, F27, 6, 6) (dual of [(504, 6), 3009, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2715, 1512, F27, 6) (dual of [1512, 1497, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 1514, F27, 6) (dual of [1514, 1499, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(2715, 1512, F27, 6) (dual of [1512, 1497, 7]-code), using
- net defined by OOA [i] based on linear OOA(2715, 504, F27, 6, 6) (dual of [(504, 6), 3009, 7]-NRT-code), using
- digital (48, 61, 1398100)-net over F27, using
- net defined by OOA [i] based on linear OOA(2761, 1398100, F27, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-code), using
- net defined by OOA [i] based on linear OOA(2761, 1398100, F27, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-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 (89, 102, 2797208)-net over F27 | [i] | (u, u+v)-Construction for Nets | |