Information on Result #1198552
Digital (52, 80, 1406)-net over F27, using net defined by OOA based on linear OOA(2780, 1406, F27, 28, 28) (dual of [(1406, 28), 39288, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(2780, 19684, F27, 28) (dual of [19684, 19604, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
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 | (72, 100, 1506)-net in base 27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (74, 102, 1522)-net in base 27 | [i] | ||
| 3 | (76, 104, 1556)-net in base 27 | [i] | ||
| 4 | (92, 120, 1406)-net in base 9 | [i] | Base Change | |