Information on Result #1195550
Digital (80, 102, 95326)-net over F16, using net defined by OOA based on linear OOA(16102, 95326, F16, 22, 22) (dual of [(95326, 22), 2097070, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(16102, 1048586, F16, 22) (dual of [1048586, 1048484, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(16102, 1048587, F16, 22) (dual of [1048587, 1048485, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(161, 11, F16, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(16102, 1048587, F16, 22) (dual of [1048587, 1048485, 23]-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 (81, 103, 95326)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (82, 104, 95326)-net over F16 | [i] | ||
| 3 | Digital (97, 119, 95391)-net over F16 | [i] | (u, u+v)-Construction for Nets | |