Information on Result #1775101
Digital (111, 124, large)-net over F4, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(4124, large, F4, 13) (dual of [large, large−124, 14]-code), using
- 15 times code embedding in larger space [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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 (112, 124, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (113, 124, large)-net over F4 | [i] | ||
| 3 | Digital (114, 124, large)-net over F4 | [i] | ||
| 4 | Digital (112, 125, large)-net over F4 | [i] | Net Duplication | |
| 5 | Digital (113, 126, large)-net over F4 | [i] | ||
| 6 | Digital (114, 127, large)-net over F4 | [i] | ||
| 7 | Digital (115, 128, large)-net over F4 | [i] | ||
| 8 | Digital (116, 129, large)-net over F4 | [i] | ||
| 9 | Digital (117, 130, large)-net over F4 | [i] | ||
| 10 | Digital (118, 131, large)-net over F4 | [i] | ||
| 11 | Digital (119, 132, large)-net over F4 | [i] | ||
| 12 | Digital (120, 133, large)-net over F4 | [i] | ||
| 13 | Digital (111, 123, large)-net over F4 | [i] | m-Reduction | |
| 14 | Digital (111, 122, large)-net over F4 | [i] | ||
| 15 | Digital (111, 121, large)-net over F4 | [i] | ||