Information on Result #1194540
Digital (108, 133, 44287)-net over F9, using net defined by OOA based on linear OOA(9133, 44287, F9, 25, 25) (dual of [(44287, 25), 1107042, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(9133, 531445, F9, 25) (dual of [531445, 531312, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9133, 531447, F9, 25) (dual of [531447, 531314, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(9133, 531441, F9, 25) (dual of [531441, 531308, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9133, 531447, F9, 25) (dual of [531447, 531314, 26]-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 (109, 134, 44287)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (110, 135, 44287)-net over F9 | [i] | ||
| 3 | Digital (120, 145, 44297)-net over F9 | [i] | (u, u+v)-Construction for Nets | |