Information on Result #1197722
Digital (36, 49, 88574)-net over F27, using net defined by OOA based on linear OOA(2749, 88574, F27, 13, 13) (dual of [(88574, 13), 1151413, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [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 (42, 55, 88602)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (43, 56, 88612)-net over F27 | [i] | ||
| 3 | Digital (44, 57, 88622)-net over F27 | [i] | ||
| 4 | Digital (45, 58, 88630)-net over F27 | [i] | ||
| 5 | Digital (46, 59, 88640)-net over F27 | [i] | ||
| 6 | Digital (47, 60, 88818)-net over F27 | [i] | ||
| 7 | (44, 57, 88656)-net in base 27 | [i] | ||
| 8 | (46, 59, 88674)-net in base 27 | [i] | ||