Information on Result #3227926
Digital (86, 110, 2732)-net over F8, using t-expansion based on digital (85, 110, 2732)-net over F8, using
- net defined by OOA [i] based on linear OOA(8110, 2732, F8, 25, 25) (dual of [(2732, 25), 68190, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8110, 32785, F8, 25) (dual of [32785, 32675, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8110, 32787, F8, 25) (dual of [32787, 32677, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,8)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(8110, 32787, F8, 25) (dual of [32787, 32677, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8110, 32785, F8, 25) (dual of [32785, 32675, 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 (87, 111, 2732)-net over F8 | [i] | Net Duplication | |