Information on Result #1222233
Digital (65, 79, 1198614)-net over F27, using (u, u+v)-construction based on
- digital (6, 13, 243)-net over F27, using
- net defined by OOA [i] based on linear OOA(2713, 243, F27, 7, 7) (dual of [(243, 7), 1688, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2713, 730, F27, 7) (dual of [730, 717, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(2713, 730, F27, 7) (dual of [730, 717, 8]-code), using
- net defined by OOA [i] based on linear OOA(2713, 243, F27, 7, 7) (dual of [(243, 7), 1688, 8]-NRT-code), using
- digital (52, 66, 1198371)-net over F27, using
- net defined by OOA [i] based on linear OOA(2766, 1198371, F27, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-code), using
- net defined by OOA [i] based on linear OOA(2766, 1198371, F27, 14, 14) (dual of [(1198371, 14), 16777128, 15]-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 (96, 110, 2397228)-net over F27 | [i] | (u, u+v)-Construction for Nets | |