Information on Result #2246379
Linear OA(548, 15625, F5, 10) (dual of [15625, 15577, 11]-code), using 1 times truncation based on linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, 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(548, 12020, F5, 2, 10) (dual of [(12020, 2), 23992, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(548, 12020, F5, 3, 10) (dual of [(12020, 3), 36012, 11]-NRT-code) | [i] | ||
| 3 | Digital (38, 48, 12020)-net over F5 | [i] | ||
| 4 | Linear OOA(548, 7812, F5, 2, 10) (dual of [(7812, 2), 15576, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(548, 5208, F5, 3, 10) (dual of [(5208, 3), 15576, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(548, 3125, F5, 10, 10) (dual of [(3125, 10), 31202, 11]-NRT-code) | [i] | OA Folding and Stacking | |