Information on Result #701259
Linear OA(521, 62, F5, 9) (dual of [62, 41, 10]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,2,4,6,8,11,17}, and minimum distance d ≥ |{2,5,8,…,26}|+1 = 10 (BCH-bound)
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
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5142, 3187, F5, 31) (dual of [3187, 3045, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(521, 68, F5, 9) (dual of [68, 47, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(5147, 3186, F5, 32) (dual of [3186, 3039, 33]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(5137, 3186, F5, 29) (dual of [3186, 3049, 30]-code) | [i] | ||