Information on Result #687639
Linear OA(873, 513, F8, 27) (dual of [513, 440, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(880, 520, F8, 29) (dual of [520, 440, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(874, 520, F8, 27) (dual of [520, 446, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(891, 527, F8, 33) (dual of [527, 436, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(892, 532, F8, 33) (dual of [532, 440, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(890, 527, F8, 32) (dual of [527, 437, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(888, 523, F8, 31) (dual of [523, 435, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(889, 529, F8, 31) (dual of [529, 440, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(876, 523, F8, 27) (dual of [523, 447, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(877, 529, F8, 27) (dual of [529, 452, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(8101, 537, F8, 35) (dual of [537, 436, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(8102, 540, F8, 35) (dual of [540, 438, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(8103, 542, F8, 35) (dual of [542, 439, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(8104, 544, F8, 35) (dual of [544, 440, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(8100, 537, F8, 34) (dual of [537, 437, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(8102, 542, F8, 34) (dual of [542, 440, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(880, 538, F8, 27) (dual of [538, 458, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(8112, 552, F8, 37) (dual of [552, 440, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(886, 550, F8, 27) (dual of [550, 464, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(8121, 561, F8, 39) (dual of [561, 440, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(8119, 559, F8, 38) (dual of [559, 440, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(8131, 571, F8, 41) (dual of [571, 440, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(8129, 569, F8, 40) (dual of [569, 440, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(8110, 545, F8, 36) (dual of [545, 435, 37]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(8100, 535, F8, 35) (dual of [535, 435, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(8104, 545, F8, 34) (dual of [545, 441, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(890, 525, F8, 33) (dual of [525, 435, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(894, 535, F8, 33) (dual of [535, 441, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(891, 532, F8, 31) (dual of [532, 441, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(879, 532, F8, 27) (dual of [532, 453, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(885, 547, F8, 27) (dual of [547, 462, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(884, 545, F8, 27) (dual of [545, 461, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(883, 543, F8, 27) (dual of [543, 460, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(882, 541, F8, 27) (dual of [541, 459, 28]-code) | [i] | ✔ | |