Information on Result #684895
Linear OA(741, 2402, F7, 11) (dual of [2402, 2361, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(752, 2410, F7, 15) (dual of [2410, 2358, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(753, 2414, F7, 15) (dual of [2414, 2361, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(751, 2410, F7, 14) (dual of [2410, 2359, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(764, 2425, F7, 17) (dual of [2425, 2361, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(773, 2427, F7, 19) (dual of [2427, 2354, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 6 | Linear OA(763, 2418, F7, 17) (dual of [2418, 2355, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(762, 2416, F7, 17) (dual of [2416, 2354, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(755, 2417, F7, 15) (dual of [2417, 2362, 16]-code) | [i] | ✔ | |