Information on Result #614516
Linear OA(741, 57, F7, 25) (dual of [57, 16, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,22], and minimum distance d ≥ |{−2,−1,…,22}|+1 = 26 (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(743, 60, F7, 25) (dual of [60, 17, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(741, 60, F7, 25) (dual of [60, 19, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(744, 64, F7, 25) (dual of [64, 20, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(746, 67, F7, 25) (dual of [67, 21, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(743, 63, F7, 25) (dual of [63, 20, 26]-code) | [i] | ✔ | |