Information on Result #614953
Linear OA(849, 513, F8, 19) (dual of [513, 464, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, 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(859, 527, F8, 19) (dual of [527, 468, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(860, 530, F8, 19) (dual of [530, 470, 20]-code) | [i] | ||
| 3 | Linear OA(857, 522, F8, 19) (dual of [522, 465, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(856, 520, F8, 21) (dual of [520, 464, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(850, 520, F8, 19) (dual of [520, 470, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(864, 523, F8, 23) (dual of [523, 459, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(865, 529, F8, 23) (dual of [529, 464, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(855, 527, F8, 19) (dual of [527, 472, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(856, 532, F8, 19) (dual of [532, 476, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(854, 527, F8, 18) (dual of [527, 473, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(874, 538, F8, 25) (dual of [538, 464, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(859, 537, F8, 19) (dual of [537, 478, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(860, 540, F8, 19) (dual of [540, 480, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(886, 550, F8, 27) (dual of [550, 464, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(885, 547, F8, 27) (dual of [547, 462, 28]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(884, 545, F8, 27) (dual of [545, 461, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(883, 543, F8, 27) (dual of [543, 460, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(882, 541, F8, 27) (dual of [541, 459, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(873, 532, F8, 25) (dual of [532, 459, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(879, 547, F8, 25) (dual of [547, 468, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(878, 545, F8, 25) (dual of [545, 467, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(877, 543, F8, 25) (dual of [543, 466, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(876, 541, F8, 25) (dual of [541, 465, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(867, 532, F8, 23) (dual of [532, 465, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(854, 525, F8, 19) (dual of [525, 471, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(858, 535, F8, 19) (dual of [535, 477, 20]-code) | [i] | ✔ | |