Information on Result #685993
Linear OA(734, 57, F7, 17) (dual of [57, 23, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,15], and minimum distance d ≥ |{−1,0,…,15}|+1 = 18 (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(740, 63, F7, 21) (dual of [63, 23, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(744, 65, F7, 24) (dual of [65, 21, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(745, 67, F7, 24) (dual of [67, 22, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(746, 69, F7, 24) (dual of [69, 23, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(743, 65, F7, 23) (dual of [65, 22, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(744, 67, F7, 23) (dual of [67, 23, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(742, 65, F7, 22) (dual of [65, 23, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(743, 67, F7, 22) (dual of [67, 24, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |