Information on Result #1195552
Digital (83, 105, 95327)-net over F16, using net defined by OOA based on linear OOA(16105, 95327, F16, 22, 22) (dual of [(95327, 22), 2097089, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(16105, 1048597, F16, 22) (dual of [1048597, 1048492, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(16105, 1048600, F16, 22) (dual of [1048600, 1048495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [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(1681, 1048576, F16, 18) (dual of [1048576, 1048495, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(16105, 1048600, F16, 22) (dual of [1048600, 1048495, 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 (84, 106, 95327)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (85, 107, 95327)-net over F16 | [i] | ||