Information on Result #1189492
Digital (113, 137, 6512)-net over F5, using net defined by OOA based on linear OOA(5137, 6512, F5, 24, 24) (dual of [(6512, 24), 156151, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(5137, 78144, F5, 24) (dual of [78144, 78007, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(5137, 78149, F5, 24) (dual of [78149, 78012, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(5137, 78149, F5, 24) (dual of [78149, 78012, 25]-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 (114, 138, 6512)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (115, 139, 6512)-net over F5 | [i] | ||
| 3 | Digital (116, 140, 6512)-net over F5 | [i] | ||