Information on Result #1189554
Digital (106, 133, 1204)-net over F5, using net defined by OOA based on linear OOA(5133, 1204, F5, 27, 27) (dual of [(1204, 27), 32375, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(5133, 15653, F5, 27) (dual of [15653, 15520, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(5133, 15655, F5, 27) (dual of [15655, 15522, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(5133, 15655, F5, 27) (dual of [15655, 15522, 28]-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 (107, 134, 1204)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (108, 135, 1204)-net over F5 | [i] | ||
| 3 | Digital (109, 136, 1204)-net over F5 | [i] | ||
| 4 | Digital (110, 137, 1204)-net over F5 | [i] | ||