Information on Result #2270317
Linear OA(489, large, F4, 10) (dual of [large, large−89, 11]-code), using 4 times code embedding in larger space based on linear OA(485, large, F4, 10) (dual of [large, large−85, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(489, 5262938, F4, 2, 10) (dual of [(5262938, 2), 10525787, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(489, 5262938, F4, 3, 10) (dual of [(5262938, 3), 15788725, 11]-NRT-code) | [i] | ||
| 3 | Digital (79, 89, 5262938)-net over F4 | [i] | ||