Information on Result #613655
Linear OA(519, 31, F5, 12) (dual of [31, 12, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,10], and minimum distance d ≥ |{−1,0,…,10}|+1 = 13 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5139, 15655, F5, 25) (dual of [15655, 15516, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(520, 33, F5, 12) (dual of [33, 13, 13]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(522, 34, F5, 13) (dual of [34, 12, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(521, 36, F5, 12) (dual of [36, 15, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(531, 43, F5, 18) (dual of [43, 12, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(523, 36, F5, 13) (dual of [36, 13, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(522, 38, F5, 12) (dual of [38, 16, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(523, 39, F5, 12) (dual of [39, 16, 13]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OA(590, 156, F5, 37) (dual of [156, 66, 38]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OOA(519, 15, F5, 2, 12) (dual of [(15, 2), 11, 13]-NRT-code) | [i] | OOA Folding | |