Information on Result #709896
Linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,31}, and designed minimum distance d ≥ |I|+1 = 17
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(544, 140, F5, 17) (dual of [140, 96, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(543, 136, F5, 17) (dual of [136, 93, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(542, 133, F5, 17) (dual of [133, 91, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(541, 131, F5, 17) (dual of [131, 90, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(546, 137, F5, 18) (dual of [137, 91, 19]-code) | [i] | ✔ | |
| 6 | Linear OOA(537, 62, F5, 2, 16) (dual of [(62, 2), 87, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(537, 41, F5, 3, 16) (dual of [(41, 3), 86, 17]-NRT-code) | [i] | ||