Information on Result #2246894
Linear OA(564, 390625, F5, 10) (dual of [390625, 390561, 11]-code), using 1 times truncation based on linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(564, 300616, F5, 2, 10) (dual of [(300616, 2), 601168, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(564, 300616, F5, 3, 10) (dual of [(300616, 3), 901784, 11]-NRT-code) | [i] | ||
| 3 | Digital (54, 64, 300616)-net over F5 | [i] | ||
| 4 | Linear OOA(564, 195312, F5, 2, 10) (dual of [(195312, 2), 390560, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(564, 130208, F5, 3, 10) (dual of [(130208, 3), 390560, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(564, 78125, F5, 10, 10) (dual of [(78125, 10), 781186, 11]-NRT-code) | [i] | OA Folding and Stacking | |