Information on Result #2276521
Linear OA(542, large, F5, 6) (dual of [large, large−42, 7]-code), using 1 times code embedding in larger space based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(542, 8080445, F5, 2, 6) (dual of [(8080445, 2), 16160848, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(542, 8080445, F5, 3, 6) (dual of [(8080445, 3), 24241293, 7]-NRT-code) | [i] | ||
| 3 | Digital (36, 42, 8080445)-net over F5 | [i] | ||