Information on Result #614422
Linear OA(757, 2402, F7, 17) (dual of [2402, 2345, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(765, 2411, F7, 17) (dual of [2411, 2346, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(766, 2411, F7, 19) (dual of [2411, 2345, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(758, 2411, F7, 17) (dual of [2411, 2353, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(777, 2422, F7, 21) (dual of [2422, 2345, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(764, 2425, F7, 17) (dual of [2425, 2361, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(788, 2433, F7, 23) (dual of [2433, 2345, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(787, 2425, F7, 23) (dual of [2425, 2338, 24]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(776, 2414, F7, 21) (dual of [2414, 2338, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(779, 2425, F7, 21) (dual of [2425, 2346, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(768, 2414, F7, 19) (dual of [2414, 2346, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(763, 2418, F7, 17) (dual of [2418, 2355, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(762, 2416, F7, 17) (dual of [2416, 2354, 18]-code) | [i] | ✔ | |