Information on Result #615012

Linear OA(861, 513, F8, 23) (dual of [513, 452, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(873, 527, F8, 23) (dual of [527, 454, 24]-code) [i](u, u+v)-Construction
2Linear OA(874, 530, F8, 23) (dual of [530, 456, 24]-code) [i]
3Linear OA(875, 537, F8, 23) (dual of [537, 462, 24]-code) [i]
4Linear OA(871, 524, F8, 23) (dual of [524, 453, 24]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(868, 520, F8, 25) (dual of [520, 452, 26]-code) [i]✔
6Linear OA(862, 520, F8, 23) (dual of [520, 458, 24]-code) [i]✔
7Linear OA(876, 523, F8, 27) (dual of [523, 447, 28]-code) [i]✔
8Linear OA(877, 529, F8, 27) (dual of [529, 452, 28]-code) [i]✔
9Linear OA(864, 523, F8, 23) (dual of [523, 459, 24]-code) [i]✔
10Linear OA(865, 529, F8, 23) (dual of [529, 464, 24]-code) [i]✔
11Linear OA(886, 538, F8, 29) (dual of [538, 452, 30]-code) [i]✔
12Linear OA(868, 538, F8, 23) (dual of [538, 470, 24]-code) [i]✔
13Linear OA(8100, 552, F8, 33) (dual of [552, 452, 34]-code) [i]✔
14Linear OA(896, 548, F8, 30) (dual of [548, 452, 31]-code) [i]✔
15Linear OA(8109, 561, F8, 35) (dual of [561, 452, 36]-code) [i]✔
16Linear OA(8107, 559, F8, 34) (dual of [559, 452, 35]-code) [i]✔
17Linear OA(8119, 571, F8, 37) (dual of [571, 452, 38]-code) [i]✔
18Linear OA(8117, 569, F8, 36) (dual of [569, 452, 37]-code) [i]✔
19Linear OA(897, 547, F8, 31) (dual of [547, 450, 32]-code) [i]✔Construction XX with a Chain of Cyclic Codes
20Linear OA(896, 545, F8, 31) (dual of [545, 449, 32]-code) [i]✔
21Linear OA(895, 543, F8, 31) (dual of [543, 448, 32]-code) [i]✔
22Linear OA(898, 545, F8, 32) (dual of [545, 447, 33]-code) [i]✔
23Linear OA(894, 541, F8, 31) (dual of [541, 447, 32]-code) [i]✔
24Linear OA(885, 532, F8, 29) (dual of [532, 447, 30]-code) [i]✔
25Linear OA(891, 547, F8, 29) (dual of [547, 456, 30]-code) [i]✔
26Linear OA(890, 545, F8, 29) (dual of [545, 455, 30]-code) [i]✔
27Linear OA(889, 543, F8, 29) (dual of [543, 454, 30]-code) [i]✔
28Linear OA(888, 541, F8, 29) (dual of [541, 453, 30]-code) [i]✔
29Linear OA(879, 532, F8, 27) (dual of [532, 453, 28]-code) [i]✔
30Linear OA(867, 532, F8, 23) (dual of [532, 465, 24]-code) [i]✔
31Linear OA(875, 549, F8, 23) (dual of [549, 474, 24]-code) [i]✔
32Linear OA(874, 547, F8, 23) (dual of [547, 473, 24]-code) [i]✔
33Linear OA(873, 545, F8, 23) (dual of [545, 472, 24]-code) [i]✔
34Linear OA(872, 543, F8, 23) (dual of [543, 471, 24]-code) [i]✔