Information on Result #1197604
Digital (22, 34, 3281)-net over F27, using net defined by OOA based on linear OOA(2734, 3281, F27, 12, 12) (dual of [(3281, 12), 39338, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(2734, 19686, F27, 12) (dual of [19686, 19652, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(2734, 19683, F27, 12) (dual of [19683, 19649, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2731, 19683, F27, 11) (dual of [19683, 19652, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 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(11) ⊂ Ce(10) [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 (23, 35, 3281)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (28, 40, 3309)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (29, 41, 3319)-net over F27 | [i] | ||
| 4 | Digital (30, 42, 3329)-net over F27 | [i] | ||
| 5 | Digital (31, 43, 3337)-net over F27 | [i] | ||
| 6 | Digital (32, 44, 3347)-net over F27 | [i] | ||
| 7 | (30, 42, 3363)-net in base 27 | [i] | ||
| 8 | (32, 44, 3381)-net in base 27 | [i] | ||