Information on Result #1189264
Digital (90, 109, 8683)-net over F5, using net defined by OOA based on linear OOA(5109, 8683, F5, 19, 19) (dual of [(8683, 19), 164868, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5109, 78148, F5, 19) (dual of [78148, 78039, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5109, 78149, F5, 19) (dual of [78149, 78040, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5109, 78149, F5, 19) (dual of [78149, 78040, 20]-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 (91, 110, 8683)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (92, 111, 8683)-net over F5 | [i] | ||
| 3 | Digital (93, 112, 8683)-net over F5 | [i] | ||