Information on Result #709802
Linear OA(537, 124, F5, 15) (dual of [124, 87, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,8}, and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(537, 115, F5, 2, 15) (dual of [(115, 2), 193, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(537, 115, F5, 3, 15) (dual of [(115, 3), 308, 16]-NRT-code) | [i] | ||
| 3 | Digital (22, 37, 115)-net over F5 | [i] | ||
| 4 | Linear OA(544, 148, F5, 15) (dual of [148, 104, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(548, 149, F5, 17) (dual of [149, 101, 18]-code) | [i] | ✔ | |