Information on Result #2272361
Linear OA(4243, large, F4, 25) (dual of [large, large−243, 26]-code), using 26 times code embedding in larger space based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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(4243, 6792850, F4, 2, 25) (dual of [(6792850, 2), 13585457, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4243, 6792850, F4, 3, 25) (dual of [(6792850, 3), 20378307, 26]-NRT-code) | [i] | ||
| 3 | Digital (218, 243, 6792850)-net over F4 | [i] | ||