Information on Result #1205144
Digital (206, 224, 1062882)-net over F3, using trace code for nets based on digital (94, 112, 531441)-net over F9, using
- net defined by OOA [i] based on linear OOA(9112, 531441, F9, 18, 18) (dual of [(531441, 18), 9565826, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(9112, 4782969, F9, 18) (dual of [4782969, 4782857, 19]-code), using
- 1 times truncation [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- OA 9-folding and stacking [i] based on linear OA(9112, 4782969, F9, 18) (dual of [4782969, 4782857, 19]-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 (216, 234, 1062889)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (217, 235, 1062890)-net over F3 | [i] | ||
| 3 | Digital (218, 236, 1062892)-net over F3 | [i] | ||
| 4 | Digital (219, 237, 1062895)-net over F3 | [i] | ||
| 5 | Digital (220, 238, 1062897)-net over F3 | [i] | ||
| 6 | Digital (221, 239, 1062898)-net over F3 | [i] | ||
| 7 | Digital (222, 240, 1062900)-net over F3 | [i] | ||
| 8 | Digital (223, 241, 1062902)-net over F3 | [i] | ||
| 9 | Digital (224, 242, 1062903)-net over F3 | [i] | ||
| 10 | Digital (225, 243, 1062908)-net over F3 | [i] | ||
| 11 | Digital (226, 244, 1062914)-net over F3 | [i] | ||
| 12 | Digital (228, 246, 1062922)-net over F3 | [i] | ||
| 13 | Digital (230, 248, 1062938)-net over F3 | [i] | ||
| 14 | Digital (232, 250, 1062942)-net over F3 | [i] | ||