Information on Result #613707
Linear OA(537, 126, F5, 15) (dual of [126, 89, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(543, 133, F5, 15) (dual of [133, 90, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(538, 133, F5, 15) (dual of [133, 95, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(556, 145, F5, 21) (dual of [145, 89, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(541, 142, F5, 15) (dual of [142, 101, 16]-code) | [i] | ✔ | |