Information on Result #2276966
Linear OA(589, large, F5, 11) (dual of [large, large−89, 12]-code), using 8 times code embedding in larger space based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(589, 7080509, F5, 2, 11) (dual of [(7080509, 2), 14160929, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(589, 7080509, F5, 3, 11) (dual of [(7080509, 3), 21241438, 12]-NRT-code) | [i] | ||
| 3 | Digital (78, 89, 7080509)-net over F5 | [i] | ||