Information on Result #2272053
Linear OA(4209, large, F4, 22) (dual of [large, large−209, 23]-code), using 16 times code embedding in larger space based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
Mode: Constructive and 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 | Linear OOA(4209, 5053678, F4, 2, 22) (dual of [(5053678, 2), 10107147, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4209, 5053678, F4, 3, 22) (dual of [(5053678, 3), 15160825, 23]-NRT-code) | [i] | ||
| 3 | Digital (187, 209, 5053678)-net over F4 | [i] | ||