Information on Result #614943
Linear OA(846, 512, F8, 18) (dual of [512, 466, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,17], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(855, 522, F8, 18) (dual of [522, 467, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(856, 526, F8, 18) (dual of [526, 470, 19]-code) | [i] | ||
| 3 | Linear OA(857, 529, F8, 18) (dual of [529, 472, 19]-code) | [i] | ||
| 4 | Linear OA(849, 515, F8, 19) (dual of [515, 466, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(846, 515, F8, 18) (dual of [515, 469, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(853, 519, F8, 20) (dual of [519, 466, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(848, 520, F8, 18) (dual of [520, 472, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(858, 524, F8, 21) (dual of [524, 466, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(849, 522, F8, 18) (dual of [522, 473, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(850, 525, F8, 18) (dual of [525, 475, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(862, 528, F8, 22) (dual of [528, 466, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(852, 530, F8, 18) (dual of [530, 478, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(867, 533, F8, 23) (dual of [533, 466, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(853, 534, F8, 18) (dual of [534, 481, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(875, 541, F8, 25) (dual of [541, 466, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(871, 537, F8, 24) (dual of [537, 466, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(856, 538, F8, 18) (dual of [538, 482, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(857, 541, F8, 18) (dual of [541, 484, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(880, 546, F8, 26) (dual of [546, 466, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(884, 550, F8, 27) (dual of [550, 466, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(888, 554, F8, 28) (dual of [554, 466, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(892, 558, F8, 29) (dual of [558, 466, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(897, 563, F8, 30) (dual of [563, 466, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(879, 543, F8, 26) (dual of [543, 464, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(874, 540, F8, 25) (dual of [540, 466, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(873, 538, F8, 25) (dual of [538, 465, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(872, 536, F8, 25) (dual of [536, 464, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(874, 543, F8, 24) (dual of [543, 469, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(873, 541, F8, 24) (dual of [541, 468, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(872, 539, F8, 24) (dual of [539, 467, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(877, 547, F8, 24) (dual of [547, 470, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(863, 530, F8, 22) (dual of [530, 467, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(851, 527, F8, 18) (dual of [527, 476, 19]-code) | [i] | ✔ | |
| 34 | Linear OA(856, 540, F8, 18) (dual of [540, 484, 19]-code) | [i] | ✔ | |
| 35 | Linear OA(855, 538, F8, 18) (dual of [538, 483, 19]-code) | [i] | ✔ | |
| 36 | Linear OA(854, 536, F8, 18) (dual of [536, 482, 19]-code) | [i] | ✔ | |