Information on Result #614921
Linear OA(843, 513, F8, 17) (dual of [513, 470, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(842, 512, F8, 16) (dual of [512, 470, 17]-code) | [i] | Truncation | |
2 | Linear OA(852, 527, F8, 17) (dual of [527, 475, 18]-code) | [i] | (u, u+v)-Construction | |
3 | Linear OA(853, 530, F8, 17) (dual of [530, 477, 18]-code) | [i] | ||
4 | Linear OA(848, 548, F8, 17) (dual of [548, 500, 18]-code) | [i] | Varšamov–Edel Lengthening | |
5 | Linear OA(849, 590, F8, 17) (dual of [590, 541, 18]-code) | [i] | ||
6 | Linear OA(850, 657, F8, 17) (dual of [657, 607, 18]-code) | [i] | ||
7 | Linear OA(851, 522, F8, 17) (dual of [522, 471, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
8 | Linear OA(850, 520, F8, 19) (dual of [520, 470, 20]-code) | [i] | ✔ | |
9 | Linear OA(846, 522, F8, 17) (dual of [522, 476, 18]-code) | [i] | ✔ | |
10 | Linear OA(858, 523, F8, 21) (dual of [523, 465, 22]-code) | [i] | ✔ | |
11 | Linear OA(859, 529, F8, 21) (dual of [529, 470, 22]-code) | [i] | ✔ | |
12 | Linear OA(849, 527, F8, 17) (dual of [527, 478, 18]-code) | [i] | ✔ | |
13 | Linear OA(850, 532, F8, 17) (dual of [532, 482, 18]-code) | [i] | ✔ | |
14 | Linear OA(848, 527, F8, 16) (dual of [527, 479, 17]-code) | [i] | ✔ | |
15 | Linear OA(846, 523, F8, 15) (dual of [523, 477, 16]-code) | [i] | ✔ | |
16 | Linear OA(847, 529, F8, 15) (dual of [529, 482, 16]-code) | [i] | ✔ | |
17 | Linear OA(868, 538, F8, 23) (dual of [538, 470, 24]-code) | [i] | ✔ | |
18 | Linear OA(853, 537, F8, 17) (dual of [537, 484, 18]-code) | [i] | ✔ | |
19 | Linear OA(852, 537, F8, 16) (dual of [537, 485, 17]-code) | [i] | ✔ | |
20 | Linear OA(878, 548, F8, 24) (dual of [548, 470, 25]-code) | [i] | ✔ | |
21 | Linear OA(879, 547, F8, 25) (dual of [547, 468, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
22 | Linear OA(878, 545, F8, 25) (dual of [545, 467, 26]-code) | [i] | ✔ | |
23 | Linear OA(877, 543, F8, 25) (dual of [543, 466, 26]-code) | [i] | ✔ | |
24 | Linear OA(876, 541, F8, 25) (dual of [541, 465, 26]-code) | [i] | ✔ | |
25 | Linear OA(867, 532, F8, 23) (dual of [532, 465, 24]-code) | [i] | ✔ | |
26 | Linear OA(875, 549, F8, 23) (dual of [549, 474, 24]-code) | [i] | ✔ | |
27 | Linear OA(874, 547, F8, 23) (dual of [547, 473, 24]-code) | [i] | ✔ | |
28 | Linear OA(873, 545, F8, 23) (dual of [545, 472, 24]-code) | [i] | ✔ | |
29 | Linear OA(872, 543, F8, 23) (dual of [543, 471, 24]-code) | [i] | ✔ | |
30 | Linear OA(865, 538, F8, 21) (dual of [538, 473, 22]-code) | [i] | ✔ | |
31 | Linear OA(864, 536, F8, 21) (dual of [536, 472, 22]-code) | [i] | ✔ | |
32 | Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code) | [i] | ✔ | |
33 | Linear OA(854, 525, F8, 19) (dual of [525, 471, 20]-code) | [i] | ✔ | |
34 | Linear OA(848, 525, F8, 17) (dual of [525, 477, 18]-code) | [i] | ✔ | |
35 | Linear OA(852, 535, F8, 17) (dual of [535, 483, 18]-code) | [i] | ✔ | |
36 | Linear OA(849, 532, F8, 15) (dual of [532, 483, 16]-code) | [i] | ✔ | |
37 | Linear OOA(843, 171, F8, 3, 17) (dual of [(171, 3), 470, 18]-NRT-code) | [i] | OOA Folding |