Information on Result #1188338
Digital (47, 55, 488283)-net over F5, using net defined by OOA based on linear OOA(555, 488283, F5, 8, 8) (dual of [(488283, 8), 3906209, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(555, 1953132, F5, 8) (dual of [1953132, 1953077, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(555, 1953134, F5, 8) (dual of [1953134, 1953079, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(555, 1953134, F5, 8) (dual of [1953134, 1953079, 9]-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 (51, 59, 488289)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (52, 60, 488295)-net over F5 | [i] | ||