Information on Result #1191646
Digital (58, 71, 43695)-net over F8, using net defined by OOA based on linear OOA(871, 43695, F8, 13, 13) (dual of [(43695, 13), 567964, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(871, 262171, F8, 13) (dual of [262171, 262100, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(871, 262172, F8, 13) (dual of [262172, 262101, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(871, 262172, F8, 13) (dual of [262172, 262101, 14]-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 (59, 72, 43695)-net over F8 | [i] | Net Duplication | |