Information on Result #2247226
Linear OA(596, 15625, F5, 20) (dual of [15625, 15529, 21]-code), using 1 times truncation based on linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(596, 9215, F5, 2, 20) (dual of [(9215, 2), 18334, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(596, 9215, F5, 3, 20) (dual of [(9215, 3), 27549, 21]-NRT-code) | [i] | ||
| 3 | Digital (76, 96, 9215)-net over F5 | [i] | ||
| 4 | Linear OOA(596, 7812, F5, 2, 20) (dual of [(7812, 2), 15528, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(596, 5208, F5, 3, 20) (dual of [(5208, 3), 15528, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(596, 1562, F5, 20, 20) (dual of [(1562, 20), 31144, 21]-NRT-code) | [i] | OA Folding and Stacking | |