Information on Result #1195394
Digital (66, 84, 116510)-net over F16, using net defined by OOA based on linear OOA(1684, 116510, F16, 18, 18) (dual of [(116510, 18), 2097096, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(1684, 1048590, F16, 18) (dual of [1048590, 1048506, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1684, 1048594, F16, 18) (dual of [1048594, 1048510, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- 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(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(1684, 1048594, F16, 18) (dual of [1048594, 1048510, 19]-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 (67, 85, 116510)-net over F16 | [i] | Net Duplication | |