Information on Result #684884
Linear OA(789, 2402, F7, 25) (dual of [2402, 2313, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(798, 2411, F7, 27) (dual of [2411, 2313, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(7100, 2410, F7, 29) (dual of [2410, 2310, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(7101, 2414, F7, 29) (dual of [2414, 2313, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(799, 2410, F7, 28) (dual of [2410, 2311, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(790, 2411, F7, 25) (dual of [2411, 2321, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(793, 2422, F7, 25) (dual of [2422, 2329, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(796, 2433, F7, 25) (dual of [2433, 2337, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(7110, 2417, F7, 30) (dual of [2417, 2307, 31]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OA(7110, 2416, F7, 31) (dual of [2416, 2306, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(7103, 2417, F7, 29) (dual of [2417, 2314, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(7100, 2414, F7, 27) (dual of [2414, 2314, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(792, 2414, F7, 25) (dual of [2414, 2322, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(795, 2425, F7, 25) (dual of [2425, 2330, 26]-code) | [i] | ✔ | |