Information on Result #1189200
Digital (95, 113, 43403)-net over F5, using net defined by OOA based on linear OOA(5113, 43403, F5, 18, 18) (dual of [(43403, 18), 781141, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(5113, 390627, F5, 18) (dual of [390627, 390514, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5113, 390633, F5, 18) (dual of [390633, 390520, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(5113, 390633, F5, 18) (dual of [390633, 390520, 19]-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 (104, 122, 43409)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (105, 123, 43413)-net over F5 | [i] | ||
| 3 | Digital (106, 124, 43415)-net over F5 | [i] | ||
| 4 | Digital (107, 125, 43419)-net over F5 | [i] | ||
| 5 | Digital (108, 126, 43421)-net over F5 | [i] | ||