Information on Result #1197436
Digital (24, 33, 132861)-net over F27, using net defined by OOA based on linear OOA(2733, 132861, F27, 9, 9) (dual of [(132861, 9), 1195716, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(2733, 531445, F27, 9) (dual of [531445, 531412, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(2733, 531441, F27, 9) (dual of [531441, 531408, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [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 (28, 37, 132889)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (29, 38, 132899)-net over F27 | [i] | ||
| 3 | Digital (30, 39, 133212)-net over F27 | [i] | ||
| 4 | Digital (31, 40, 133227)-net over F27 | [i] | ||