Information on Result #1189570
Digital (116, 144, 1119)-net over F5, using net defined by OOA based on linear OOA(5144, 1119, F5, 28, 28) (dual of [(1119, 28), 31188, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(5144, 15666, F5, 28) (dual of [15666, 15522, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 15670, F5, 28) (dual of [15670, 15526, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(5133, 15625, F5, 28) (dual of [15625, 15492, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(5144, 15670, F5, 28) (dual of [15670, 15526, 29]-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 (117, 145, 1119)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (118, 146, 1119)-net over F5 | [i] | ||