Information on Result #1778154
Digital (158, 176, large)-net over F4, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(4176, large, F4, 18) (dual of [large, large−176, 19]-code), using
- 19 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (159, 176, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (160, 176, large)-net over F4 | [i] | ||
| 3 | Digital (161, 176, large)-net over F4 | [i] | ||
| 4 | Digital (162, 176, large)-net over F4 | [i] | ||
| 5 | Digital (163, 176, large)-net over F4 | [i] | ||
| 6 | Digital (164, 176, large)-net over F4 | [i] | ||
| 7 | Digital (159, 177, large)-net over F4 | [i] | Net Duplication | |
| 8 | Digital (160, 178, large)-net over F4 | [i] | ||
| 9 | Digital (161, 179, large)-net over F4 | [i] | ||
| 10 | Digital (162, 180, large)-net over F4 | [i] | ||
| 11 | Digital (163, 181, large)-net over F4 | [i] | ||
| 12 | Digital (164, 182, large)-net over F4 | [i] | ||
| 13 | Digital (165, 183, large)-net over F4 | [i] | ||
| 14 | Digital (166, 184, large)-net over F4 | [i] | ||
| 15 | Digital (158, 175, large)-net over F4 | [i] | m-Reduction | |
| 16 | Digital (158, 174, large)-net over F4 | [i] | ||
| 17 | Digital (158, 173, large)-net over F4 | [i] | ||
| 18 | Digital (158, 172, large)-net over F4 | [i] | ||
| 19 | Digital (158, 171, large)-net over F4 | [i] | ||
| 20 | Digital (158, 170, large)-net over F4 | [i] | ||