Information on Result #709825
Linear OA(525, 124, F5, 10) (dual of [124, 99, 11]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {23,24,…,32}, and designed minimum distance d ≥ |I|+1 = 11
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(525, 113, F5, 2, 10) (dual of [(113, 2), 201, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(525, 113, F5, 3, 10) (dual of [(113, 3), 314, 11]-NRT-code) | [i] | ||
| 3 | Digital (15, 25, 113)-net over F5 | [i] | ||
| 4 | Linear OA(529, 131, F5, 12) (dual of [131, 102, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(534, 136, F5, 13) (dual of [136, 102, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(539, 144, F5, 14) (dual of [144, 105, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(538, 140, F5, 14) (dual of [140, 102, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(544, 149, F5, 15) (dual of [149, 105, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(543, 145, F5, 15) (dual of [145, 102, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(542, 141, F5, 16) (dual of [141, 99, 17]-code) | [i] | ✔ | |