Information on Result #1203254
Digital (9, 19, 3277)-net over F128, using net defined by OOA based on linear OOA(12819, 3277, F128, 10, 10) (dual of [(3277, 10), 32751, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(12819, 16385, F128, 10) (dual of [16385, 16366, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12819, 16386, F128, 10) (dual of [16386, 16367, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(12819, 16386, F128, 10) (dual of [16386, 16367, 11]-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 (14, 24, 3406)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (15, 25, 3427)-net over F128 | [i] | ||
| 3 | Digital (16, 26, 6554)-net over F128 | [i] | ||