Information on Result #1188240
Digital (39, 46, 651044)-net over F5, using net defined by OOA based on linear OOA(546, 651044, F5, 7, 7) (dual of [(651044, 7), 4557262, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(546, 1953133, F5, 7) (dual of [1953133, 1953087, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(546, 1953134, F5, 7) (dual of [1953134, 1953088, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(537, 1953125, F5, 6) (dual of [1953125, 1953088, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(546, 1953134, F5, 7) (dual of [1953134, 1953088, 8]-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 (42, 49, 651050)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (43, 50, 651070)-net over F5 | [i] | ||