Information on Result #1189568
Digital (111, 139, 1118)-net over F5, using net defined by OOA based on linear OOA(5139, 1118, F5, 28, 28) (dual of [(1118, 28), 31165, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(5139, 15652, F5, 28) (dual of [15652, 15513, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(5139, 15655, F5, 28) (dual of [15655, 15516, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [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(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(5139, 15655, F5, 28) (dual of [15655, 15516, 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 (112, 140, 1118)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (113, 141, 1118)-net over F5 | [i] | ||
| 3 | Digital (114, 142, 1118)-net over F5 | [i] | ||
| 4 | Digital (115, 143, 1118)-net over F5 | [i] | ||