Information on Result #614511
Linear OA(761, 343, F7, 24) (dual of [343, 282, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(773, 356, F7, 24) (dual of [356, 283, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(774, 358, F7, 24) (dual of [358, 284, 25]-code) | [i] | ||
| 3 | Linear OA(775, 360, F7, 24) (dual of [360, 285, 25]-code) | [i] | ||
| 4 | Linear OA(764, 346, F7, 25) (dual of [346, 282, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(761, 346, F7, 24) (dual of [346, 285, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(768, 350, F7, 26) (dual of [350, 282, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(762, 350, F7, 24) (dual of [350, 288, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(773, 355, F7, 27) (dual of [355, 282, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(765, 356, F7, 24) (dual of [356, 291, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(779, 361, F7, 29) (dual of [361, 282, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(777, 359, F7, 28) (dual of [359, 282, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(767, 361, F7, 24) (dual of [361, 294, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(783, 365, F7, 30) (dual of [365, 282, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(768, 365, F7, 24) (dual of [365, 297, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(789, 369, F7, 31) (dual of [369, 280, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(790, 372, F7, 31) (dual of [372, 282, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(771, 369, F7, 24) (dual of [369, 298, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(772, 372, F7, 24) (dual of [372, 300, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(794, 376, F7, 32) (dual of [376, 282, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(773, 376, F7, 24) (dual of [376, 303, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(798, 380, F7, 33) (dual of [380, 282, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(774, 380, F7, 24) (dual of [380, 306, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(7102, 384, F7, 34) (dual of [384, 282, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(7109, 391, F7, 36) (dual of [391, 282, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(7107, 389, F7, 35) (dual of [389, 282, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(778, 360, F7, 29) (dual of [360, 282, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(789, 371, F7, 31) (dual of [371, 282, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(788, 369, F7, 31) (dual of [369, 281, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(787, 367, F7, 31) (dual of [367, 280, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(786, 371, F7, 30) (dual of [371, 285, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(785, 369, F7, 30) (dual of [369, 284, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(784, 367, F7, 30) (dual of [367, 283, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(778, 358, F7, 29) (dual of [358, 280, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(778, 361, F7, 28) (dual of [361, 283, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(772, 352, F7, 27) (dual of [352, 280, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(769, 352, F7, 26) (dual of [352, 283, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(764, 353, F7, 24) (dual of [353, 289, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(766, 358, F7, 24) (dual of [358, 292, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(771, 371, F7, 24) (dual of [371, 300, 25]-code) | [i] | ✔ | |
| 40 | Linear OA(770, 369, F7, 24) (dual of [369, 299, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(769, 367, F7, 24) (dual of [367, 298, 25]-code) | [i] | ✔ | |