Information on Result #1197512
Digital (27, 37, 106289)-net over F27, using net defined by OOA based on linear OOA(2737, 106289, F27, 10, 10) (dual of [(106289, 10), 1062853, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2737, 531445, F27, 10) (dual of [531445, 531408, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(2737, 531441, F27, 10) (dual of [531441, 531404, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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(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(9) ⊂ Ce(8) [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 (32, 42, 106317)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (33, 43, 106327)-net over F27 | [i] | ||
| 3 | Digital (34, 44, 106640)-net over F27 | [i] | ||