Information on Result #1197678
Digital (70, 82, 2796200)-net over F27, using net defined by OOA based on linear OOA(2782, 2796200, F27, 14, 12) (dual of [(2796200, 14), 39146718, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2782, 8388601, F27, 2, 12) (dual of [(8388601, 2), 16777120, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2782, 8388602, F27, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2782, 8388602, F27, 2, 12) (dual of [(8388602, 2), 16777122, 13]-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 (71, 83, 2796200)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (72, 84, 2796200)-net over F27 | [i] | ||
| 3 | Digital (73, 85, 2796200)-net over F27 | [i] | ||
| 4 | Digital (234, 246, 8388600)-net over F3 | [i] | Trace Code for Nets | |
| 5 | Digital (96, 108, 5592400)-net over F27 | [i] | (u, u+v)-Construction for Nets | |