Information on Result #1180466
Digital (73, 86, 2733)-net over F2, using net defined by OOA based on linear OOA(286, 2733, F2, 13, 13) (dual of [(2733, 13), 35443, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(286, 16399, F2, 13) (dual of [16399, 16313, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(285, 16384, F2, 13) (dual of [16384, 16299, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(271, 16384, F2, 11) (dual of [16384, 16313, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ 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 (74, 86, 2733)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (74, 87, 2733)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (75, 88, 2733)-net over F2 | [i] | ||
| 4 | Digital (76, 89, 2733)-net over F2 | [i] | ||
| 5 | Digital (77, 90, 2733)-net over F2 | [i] | ||