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:

ResultThis
result
only
Method
1Linear OA(842, 512, F8, 16) (dual of [512, 470, 17]-code) [i]Truncation
2Linear OA(852, 527, F8, 17) (dual of [527, 475, 18]-code) [i](u, u+v)-Construction
3Linear OA(853, 530, F8, 17) (dual of [530, 477, 18]-code) [i]
4Linear OA(848, 548, F8, 17) (dual of [548, 500, 18]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(849, 590, F8, 17) (dual of [590, 541, 18]-code) [i]
6Linear OA(850, 657, F8, 17) (dual of [657, 607, 18]-code) [i]
7Linear OA(851, 522, F8, 17) (dual of [522, 471, 18]-code) [i]Construction X with Cyclic Codes
8Linear OA(850, 520, F8, 19) (dual of [520, 470, 20]-code) [i]
9Linear OA(846, 522, F8, 17) (dual of [522, 476, 18]-code) [i]
10Linear OA(858, 523, F8, 21) (dual of [523, 465, 22]-code) [i]
11Linear OA(859, 529, F8, 21) (dual of [529, 470, 22]-code) [i]
12Linear OA(849, 527, F8, 17) (dual of [527, 478, 18]-code) [i]
13Linear OA(850, 532, F8, 17) (dual of [532, 482, 18]-code) [i]
14Linear OA(848, 527, F8, 16) (dual of [527, 479, 17]-code) [i]
15Linear OA(846, 523, F8, 15) (dual of [523, 477, 16]-code) [i]
16Linear OA(847, 529, F8, 15) (dual of [529, 482, 16]-code) [i]
17Linear OA(868, 538, F8, 23) (dual of [538, 470, 24]-code) [i]
18Linear OA(853, 537, F8, 17) (dual of [537, 484, 18]-code) [i]
19Linear OA(852, 537, F8, 16) (dual of [537, 485, 17]-code) [i]
20Linear OA(878, 548, F8, 24) (dual of [548, 470, 25]-code) [i]
21Linear OA(879, 547, F8, 25) (dual of [547, 468, 26]-code) [i]Construction XX with a Chain of Cyclic Codes
22Linear OA(878, 545, F8, 25) (dual of [545, 467, 26]-code) [i]
23Linear OA(877, 543, F8, 25) (dual of [543, 466, 26]-code) [i]
24Linear OA(876, 541, F8, 25) (dual of [541, 465, 26]-code) [i]
25Linear OA(867, 532, F8, 23) (dual of [532, 465, 24]-code) [i]
26Linear OA(875, 549, F8, 23) (dual of [549, 474, 24]-code) [i]
27Linear OA(874, 547, F8, 23) (dual of [547, 473, 24]-code) [i]
28Linear OA(873, 545, F8, 23) (dual of [545, 472, 24]-code) [i]
29Linear OA(872, 543, F8, 23) (dual of [543, 471, 24]-code) [i]
30Linear OA(865, 538, F8, 21) (dual of [538, 473, 22]-code) [i]
31Linear OA(864, 536, F8, 21) (dual of [536, 472, 22]-code) [i]
32Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code) [i]
33Linear OA(854, 525, F8, 19) (dual of [525, 471, 20]-code) [i]
34Linear OA(848, 525, F8, 17) (dual of [525, 477, 18]-code) [i]
35Linear OA(852, 535, F8, 17) (dual of [535, 483, 18]-code) [i]
36Linear OA(849, 532, F8, 15) (dual of [532, 483, 16]-code) [i]
37Linear OOA(843, 171, F8, 3, 17) (dual of [(171, 3), 470, 18]-NRT-code) [i]OOA Folding