Information on Result #714450
Linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8167, 559, F8, 56) (dual of [559, 392, 57]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(8161, 559, F8, 54) (dual of [559, 398, 55]-code) | [i] | ||
| 3 | Linear OA(8155, 559, F8, 52) (dual of [559, 404, 53]-code) | [i] | ||
| 4 | Linear OA(8149, 559, F8, 50) (dual of [559, 410, 51]-code) | [i] | ||
| 5 | Linear OA(8143, 559, F8, 48) (dual of [559, 416, 49]-code) | [i] | ||
| 6 | Linear OA(8125, 559, F8, 40) (dual of [559, 434, 41]-code) | [i] | ||
| 7 | Linear OA(8119, 559, F8, 38) (dual of [559, 440, 39]-code) | [i] | ||
| 8 | Linear OA(8113, 559, F8, 36) (dual of [559, 446, 37]-code) | [i] | ||
| 9 | Linear OA(8107, 559, F8, 34) (dual of [559, 452, 35]-code) | [i] | ||
| 10 | Linear OA(8101, 559, F8, 32) (dual of [559, 458, 33]-code) | [i] | ||
| 11 | Linear OA(8143, 565, F8, 46) (dual of [565, 422, 47]-code) | [i] | ||
| 12 | Linear OA(8137, 565, F8, 44) (dual of [565, 428, 45]-code) | [i] | ||
| 13 | Linear OA(821, 73, F8, 11) (dual of [73, 52, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(820, 70, F8, 11) (dual of [70, 50, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(820, 67, F8, 12) (dual of [67, 47, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(823, 70, F8, 13) (dual of [70, 47, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(826, 73, F8, 14) (dual of [73, 47, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(829, 75, F8, 15) (dual of [75, 46, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(829, 76, F8, 15) (dual of [76, 47, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(8162, 32829, F8, 34) (dual of [32829, 32667, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 21 | Linear OA(8157, 32829, F8, 33) (dual of [32829, 32672, 34]-code) | [i] | ||
| 22 | Linear OA(8127, 32829, F8, 26) (dual of [32829, 32702, 27]-code) | [i] | ||
| 23 | Linear OA(8122, 32829, F8, 25) (dual of [32829, 32707, 26]-code) | [i] | ||
| 24 | Linear OA(8161, 4148, F8, 42) (dual of [4148, 3987, 43]-code) | [i] | ||
| 25 | Linear OA(8157, 4148, F8, 41) (dual of [4148, 3991, 42]-code) | [i] | ||
| 26 | Linear OA(8133, 4148, F8, 34) (dual of [4148, 4015, 35]-code) | [i] | ||
| 27 | Linear OA(8129, 4148, F8, 33) (dual of [4148, 4019, 34]-code) | [i] | ||
| 28 | Linear OA(8173, 4152, F8, 45) (dual of [4152, 3979, 46]-code) | [i] | ||
| 29 | Linear OA(8169, 4152, F8, 44) (dual of [4152, 3983, 45]-code) | [i] | ||
| 30 | Linear OA(8157, 4152, F8, 40) (dual of [4152, 3995, 41]-code) | [i] | ||
| 31 | Linear OA(8153, 4152, F8, 39) (dual of [4152, 3999, 40]-code) | [i] | ||
| 32 | Linear OA(8149, 4152, F8, 38) (dual of [4152, 4003, 39]-code) | [i] | ||
| 33 | Linear OA(8145, 4152, F8, 37) (dual of [4152, 4007, 38]-code) | [i] | ||
| 34 | Linear OA(8141, 4152, F8, 36) (dual of [4152, 4011, 37]-code) | [i] | ||
| 35 | Linear OA(8167, 555, F8, 58) (dual of [555, 388, 59]-code) | [i] | ||
| 36 | Linear OA(8164, 555, F8, 57) (dual of [555, 391, 58]-code) | [i] | ||
| 37 | Linear OA(8146, 555, F8, 50) (dual of [555, 409, 51]-code) | [i] | ||
| 38 | Linear OA(8143, 555, F8, 49) (dual of [555, 412, 50]-code) | [i] | ||
| 39 | Linear OA(8125, 555, F8, 42) (dual of [555, 430, 43]-code) | [i] | ||
| 40 | Linear OA(8122, 555, F8, 41) (dual of [555, 433, 42]-code) | [i] | ||
| 41 | Linear OA(8104, 555, F8, 34) (dual of [555, 451, 35]-code) | [i] | ||
| 42 | Linear OA(8101, 555, F8, 33) (dual of [555, 454, 34]-code) | [i] | ||
| 43 | Linear OA(883, 555, F8, 26) (dual of [555, 472, 27]-code) | [i] | ||
| 44 | Linear OA(8173, 558, F8, 60) (dual of [558, 385, 61]-code) | [i] | ||
| 45 | Linear OA(8164, 558, F8, 56) (dual of [558, 394, 57]-code) | [i] | ||
| 46 | Linear OA(8161, 558, F8, 55) (dual of [558, 397, 56]-code) | [i] | ||
| 47 | Linear OA(8158, 558, F8, 54) (dual of [558, 400, 55]-code) | [i] | ||
| 48 | Linear OA(8155, 558, F8, 53) (dual of [558, 403, 54]-code) | [i] | ||
| 49 | Linear OA(8152, 558, F8, 52) (dual of [558, 406, 53]-code) | [i] | ||
| 50 | Linear OA(8140, 558, F8, 47) (dual of [558, 418, 48]-code) | [i] | ||
| 51 | Linear OA(8137, 558, F8, 46) (dual of [558, 421, 47]-code) | [i] | ||
| 52 | Linear OA(8134, 558, F8, 45) (dual of [558, 424, 46]-code) | [i] | ||
| 53 | Linear OA(8131, 558, F8, 44) (dual of [558, 427, 45]-code) | [i] | ||
| 54 | Linear OA(8122, 558, F8, 40) (dual of [558, 436, 41]-code) | [i] | ||
| 55 | Linear OA(8119, 558, F8, 39) (dual of [558, 439, 40]-code) | [i] | ||
| 56 | Linear OA(8116, 558, F8, 38) (dual of [558, 442, 39]-code) | [i] | ||
| 57 | Linear OA(8113, 558, F8, 37) (dual of [558, 445, 38]-code) | [i] | ||
| 58 | Linear OA(8110, 558, F8, 36) (dual of [558, 448, 37]-code) | [i] | ||
| 59 | Linear OA(898, 558, F8, 31) (dual of [558, 460, 32]-code) | [i] | ||
| 60 | Linear OA(895, 558, F8, 30) (dual of [558, 463, 31]-code) | [i] | ||
| 61 | Linear OA(892, 558, F8, 29) (dual of [558, 466, 30]-code) | [i] | ||
| 62 | Linear OA(889, 558, F8, 28) (dual of [558, 469, 29]-code) | [i] | ||
| 63 | Linear OOA(816, 21, F8, 3, 10) (dual of [(21, 3), 47, 11]-NRT-code) | [i] | OOA Folding | |