Information on Result #614449
Linear OA(749, 344, F7, 19) (dual of [344, 295, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(759, 356, F7, 19) (dual of [356, 297, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(760, 358, F7, 19) (dual of [358, 298, 20]-code) | [i] | ||
| 3 | Linear OA(758, 354, F7, 19) (dual of [354, 296, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(756, 351, F7, 21) (dual of [351, 295, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(750, 351, F7, 19) (dual of [351, 301, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(765, 360, F7, 23) (dual of [360, 295, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(753, 360, F7, 19) (dual of [360, 307, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(774, 369, F7, 25) (dual of [369, 295, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(760, 371, F7, 19) (dual of [371, 311, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(787, 382, F7, 29) (dual of [382, 295, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(797, 392, F7, 31) (dual of [392, 295, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(784, 376, F7, 27) (dual of [376, 292, 28]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(783, 374, F7, 27) (dual of [374, 291, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(782, 372, F7, 27) (dual of [372, 290, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(773, 363, F7, 25) (dual of [363, 290, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(778, 376, F7, 25) (dual of [376, 298, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(777, 374, F7, 25) (dual of [374, 297, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(776, 372, F7, 25) (dual of [372, 296, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(764, 354, F7, 23) (dual of [354, 290, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(767, 363, F7, 23) (dual of [363, 296, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(758, 354, F7, 21) (dual of [354, 296, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(752, 354, F7, 19) (dual of [354, 302, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(759, 369, F7, 19) (dual of [369, 310, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(758, 367, F7, 19) (dual of [367, 309, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(757, 365, F7, 19) (dual of [365, 308, 20]-code) | [i] | ✔ | |