Information on Result #715311
Linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18
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 OOA(843, 302, F8, 2, 17) (dual of [(302, 2), 561, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(843, 302, F8, 3, 17) (dual of [(302, 3), 863, 18]-NRT-code) | [i] | ||
| 3 | Digital (26, 43, 302)-net over F8 | [i] | ||
| 4 | Linear OA(875, 558, F8, 23) (dual of [558, 483, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(873, 548, F8, 23) (dual of [548, 475, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(874, 554, F8, 23) (dual of [554, 480, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(861, 535, F8, 21) (dual of [535, 474, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(871, 543, F8, 23) (dual of [543, 472, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(872, 549, F8, 23) (dual of [549, 477, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(860, 531, F8, 21) (dual of [531, 471, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(870, 544, F8, 23) (dual of [544, 474, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(878, 548, F8, 25) (dual of [548, 470, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(869, 540, F8, 23) (dual of [540, 471, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(879, 553, F8, 25) (dual of [553, 474, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(877, 551, F8, 24) (dual of [551, 474, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(878, 549, F8, 25) (dual of [549, 471, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(876, 547, F8, 24) (dual of [547, 471, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(849, 517, F8, 19) (dual of [517, 468, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(853, 521, F8, 20) (dual of [521, 468, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(858, 526, F8, 21) (dual of [526, 468, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(857, 523, F8, 21) (dual of [523, 466, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(862, 530, F8, 22) (dual of [530, 468, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(867, 535, F8, 23) (dual of [535, 468, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(871, 539, F8, 24) (dual of [539, 468, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(880, 548, F8, 26) (dual of [548, 468, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(857, 525, F8, 21) (dual of [525, 468, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(861, 527, F8, 22) (dual of [527, 466, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(866, 534, F8, 23) (dual of [534, 468, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(884, 552, F8, 27) (dual of [552, 468, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(883, 547, F8, 27) (dual of [547, 464, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(882, 545, F8, 27) (dual of [545, 463, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(881, 542, F8, 27) (dual of [542, 461, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(886, 547, F8, 28) (dual of [547, 461, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(893, 561, F8, 29) (dual of [561, 468, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(890, 551, F8, 29) (dual of [551, 461, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(8101, 565, F8, 31) (dual of [565, 464, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(899, 560, F8, 31) (dual of [560, 461, 32]-code) | [i] | ✔ | |