Information on Result #716376
Linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8153, 579, F8, 49) (dual of [579, 426, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8138, 558, F8, 47) (dual of [558, 420, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(8137, 554, F8, 47) (dual of [554, 417, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(8124, 535, F8, 45) (dual of [535, 411, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(8147, 567, F8, 49) (dual of [567, 420, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(8145, 565, F8, 48) (dual of [565, 420, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(8144, 557, F8, 49) (dual of [557, 413, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(8135, 549, F8, 47) (dual of [549, 414, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(8123, 531, F8, 45) (dual of [531, 408, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(8151, 568, F8, 50) (dual of [568, 417, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(8146, 563, F8, 49) (dual of [563, 417, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(8133, 544, F8, 47) (dual of [544, 411, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(8144, 558, F8, 49) (dual of [558, 414, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(8142, 556, F8, 48) (dual of [556, 414, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(8141, 548, F8, 49) (dual of [548, 407, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(8132, 540, F8, 47) (dual of [540, 408, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(8142, 553, F8, 49) (dual of [553, 411, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(8140, 551, F8, 48) (dual of [551, 411, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(8141, 549, F8, 49) (dual of [549, 408, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(8139, 547, F8, 48) (dual of [547, 408, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(8112, 517, F8, 43) (dual of [517, 405, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(8116, 521, F8, 44) (dual of [521, 405, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(8121, 526, F8, 45) (dual of [526, 405, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(8120, 523, F8, 45) (dual of [523, 403, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(8125, 530, F8, 46) (dual of [530, 405, 47]-code) | [i] | ✔ | |
| 26 | Linear OA(8130, 535, F8, 47) (dual of [535, 405, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(8134, 539, F8, 48) (dual of [539, 405, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(8143, 548, F8, 50) (dual of [548, 405, 51]-code) | [i] | ✔ | |
| 29 | Linear OA(8120, 525, F8, 45) (dual of [525, 405, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(8124, 527, F8, 46) (dual of [527, 403, 47]-code) | [i] | ✔ | |
| 31 | Linear OA(8129, 534, F8, 47) (dual of [534, 405, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(8147, 552, F8, 51) (dual of [552, 405, 52]-code) | [i] | ✔ | |
| 33 | Linear OA(8146, 547, F8, 51) (dual of [547, 401, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(8145, 545, F8, 51) (dual of [545, 400, 52]-code) | [i] | ✔ | |
| 35 | Linear OA(8144, 542, F8, 51) (dual of [542, 398, 52]-code) | [i] | ✔ | |
| 36 | Linear OA(8149, 547, F8, 52) (dual of [547, 398, 53]-code) | [i] | ✔ | |
| 37 | Linear OA(8156, 561, F8, 53) (dual of [561, 405, 54]-code) | [i] | ✔ | |
| 38 | Linear OA(8153, 551, F8, 53) (dual of [551, 398, 54]-code) | [i] | ✔ | |
| 39 | Linear OA(8161, 566, F8, 54) (dual of [566, 405, 55]-code) | [i] | ✔ | |
| 40 | Linear OA(8165, 570, F8, 55) (dual of [570, 405, 56]-code) | [i] | ✔ | |
| 41 | Linear OA(8164, 565, F8, 55) (dual of [565, 401, 56]-code) | [i] | ✔ | |
| 42 | Linear OA(8162, 560, F8, 55) (dual of [560, 398, 56]-code) | [i] | ✔ | |