Information on Result #1189176
Digital (71, 89, 1738)-net over F5, using net defined by OOA based on linear OOA(589, 1738, F5, 18, 18) (dual of [(1738, 18), 31195, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(589, 15642, F5, 18) (dual of [15642, 15553, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(589, 15647, F5, 18) (dual of [15647, 15558, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(589, 15647, F5, 18) (dual of [15647, 15558, 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 (72, 90, 1738)-net over F5 | [i] | Net Duplication | |