Information on Result #1197190
Digital (6, 10, 9843)-net over F27, using net defined by OOA based on linear OOA(2710, 9843, F27, 4, 4) (dual of [(9843, 4), 39362, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2710, 19686, F27, 4) (dual of [19686, 19676, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2710, 19683, F27, 4) (dual of [19683, 19673, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(277, 19683, F27, 3) (dual of [19683, 19676, 4]-code or 19683-cap in PG(6,27)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
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 (38, 46, 2106993)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (42, 51, 2106993)-net over F27 | [i] | ||
| 3 | Digital (94, 107, 2815942)-net over F27 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (90, 102, 2815942)-net over F27 | [i] | ||
| 5 | Digital (89, 102, 2806099)-net over F27 | [i] | ||
| 6 | Digital (93, 106, 2809459)-net over F27 | [i] | ||
| 7 | Digital (92, 105, 2815914)-net over F27 | [i] | ||
| 8 | Digital (93, 106, 2816643)-net over F27 | [i] | ||
| 9 | Digital (85, 97, 2806099)-net over F27 | [i] | ||
| 10 | Digital (89, 101, 2809459)-net over F27 | [i] | ||
| 11 | Digital (88, 100, 2815914)-net over F27 | [i] | ||
| 12 | Digital (89, 101, 2816643)-net over F27 | [i] | ||
| 13 | Digital (96, 110, 2406613)-net over F27 | [i] | ||
| 14 | Digital (87, 100, 2806071)-net over F27 | [i] | ||
| 15 | Digital (88, 101, 2806773)-net over F27 | [i] | ||
| 16 | Digital (89, 102, 2807751)-net over F27 | [i] | ||
| 17 | Digital (90, 103, 2815886)-net over F27 | [i] | ||
| 18 | Digital (83, 95, 2806071)-net over F27 | [i] | ||
| 19 | Digital (84, 96, 2806773)-net over F27 | [i] | ||
| 20 | Digital (85, 97, 2807751)-net over F27 | [i] | ||
| 21 | Digital (86, 98, 2815886)-net over F27 | [i] | ||
| 22 | Digital (93, 107, 2406585)-net over F27 | [i] | ||
| 23 | Digital (84, 97, 2806043)-net over F27 | [i] | ||
| 24 | Digital (80, 92, 2806043)-net over F27 | [i] | ||
| 25 | (11, 15, 9843)-net in base 9 | [i] | Base Change | |