Information on Result #701474
Linear OA(727, 48, F7, 18) (dual of [48, 21, 19]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {1,2,3,8,9,10,11,12,13,16,17,18,19,20,24}, and minimum distance d ≥ |{7,8,…,24}|+1 = 19 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(766, 78, F7, 37) (dual of [78, 12, 38]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(765, 76, F7, 37) (dual of [76, 11, 38]-code) | [i] | ||
| 3 | Linear OA(764, 74, F7, 37) (dual of [74, 10, 38]-code) | [i] | ||
| 4 | Linear OA(744, 65, F7, 26) (dual of [65, 21, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |