Information on Result #3247655
Digital (61, 81, 838860)-net over F81, using t-expansion based on digital (60, 81, 838860)-net over F81, using
- net defined by OOA [i] based on linear OOA(8181, 838860, F81, 21, 21) (dual of [(838860, 21), 17615979, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8181, 8388601, F81, 21) (dual of [8388601, 8388520, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8181, large, F81, 21) (dual of [large, large−81, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8181, large, F81, 21) (dual of [large, large−81, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8181, 8388601, F81, 21) (dual of [8388601, 8388520, 22]-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 (62, 82, 838860)-net over F81 | [i] | Net Duplication | |