Information on Result #1189470
Digital (113, 136, 7106)-net over F5, using net defined by OOA based on linear OOA(5136, 7106, F5, 23, 23) (dual of [(7106, 23), 163302, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(5136, 78167, F5, 23) (dual of [78167, 78031, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, 78169, F5, 23) (dual of [78169, 78033, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(5136, 78169, F5, 23) (dual of [78169, 78033, 24]-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, 137, 7106)-net over F5 | [i] | Net Duplication | |