Information on Result #1189538
Digital (106, 132, 1205)-net over F5, using net defined by OOA based on linear OOA(5132, 1205, F5, 26, 26) (dual of [(1205, 26), 31198, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(5132, 15665, F5, 26) (dual of [15665, 15533, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5132, 15666, F5, 26) (dual of [15666, 15534, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(511, 41, F5, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(5132, 15666, F5, 26) (dual of [15666, 15534, 27]-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, 133, 1205)-net over F5 | [i] | Net Duplication | |