Information on Result #1812294
Digital (13, 27, 2150)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8127, 2150, F81, 3, 14) (dual of [(2150, 3), 6423, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8127, 2187, F81, 3, 14) (dual of [(2187, 3), 6534, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using
Mode: 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 | (22, 36, 2150)-net in base 27 | [i] | Base Change | |