Information on Result #709872
Linear OA(530, 124, F5, 12) (dual of [124, 94, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(530, 115, F5, 2, 12) (dual of [(115, 2), 200, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(530, 115, F5, 3, 12) (dual of [(115, 3), 315, 13]-NRT-code) | [i] | ||
| 3 | Digital (18, 30, 115)-net over F5 | [i] | ||
| 4 | Linear OA(536, 136, F5, 14) (dual of [136, 100, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(551, 151, F5, 18) (dual of [151, 100, 19]-code) | [i] | ✔ | |