Information on Result #709746
Linear OA(522, 124, F5, 9) (dual of [124, 102, 10]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−3,−2,…,5}, and designed minimum distance d ≥ |I|+1 = 10
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 Expurgated Narrow-Sense BCH-Codes [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(522, 102, F5, 2, 9) (dual of [(102, 2), 182, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(522, 102, F5, 3, 9) (dual of [(102, 3), 284, 10]-NRT-code) | [i] | ||
3 | Digital (13, 22, 102)-net over F5 | [i] | ||
4 | Linear OA(527, 142, F5, 9) (dual of [142, 115, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(528, 139, F5, 10) (dual of [139, 111, 11]-code) | [i] | ✔ |