Information on Result #1197234
Digital (12, 17, 265722)-net over F27, using net defined by OOA based on linear OOA(2717, 265722, F27, 5, 5) (dual of [(265722, 5), 1328593, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2717, 531441, F27, 5) (dual of [531441, 531424, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [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 (14, 19, 265750)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (15, 20, 266479)-net over F27 | [i] | ||
| 3 | Digital (53, 63, 1943442)-net over F27 | [i] | ||
| 4 | Digital (57, 68, 1943442)-net over F27 | [i] | ||
| 5 | Digital (80, 91, large)-net over F27 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 6 | Digital (75, 85, large)-net over F27 | [i] | ||
| 7 | Digital (20, 25, 7174494)-net over F27 | [i] | ||