Information on Result #1180922
Digital (92, 107, 4683)-net over F2, using net defined by OOA based on linear OOA(2107, 4683, F2, 15, 15) (dual of [(4683, 15), 70138, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2107, 32782, F2, 15) (dual of [32782, 32675, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(291, 32768, F2, 13) (dual of [32768, 32677, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-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 | Digital (93, 107, 4683)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (93, 108, 4683)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (94, 109, 4683)-net over F2 | [i] | ||
| 4 | Digital (95, 110, 4683)-net over F2 | [i] | ||