Information on Result #614971

Linear OA(852, 512, F8, 20) (dual of [512, 460, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(862, 523, F8, 20) (dual of [523, 461, 21]-code) [i](u, u+v)-Construction
2Linear OA(863, 526, F8, 20) (dual of [526, 463, 21]-code) [i]
3Linear OA(855, 515, F8, 21) (dual of [515, 460, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(852, 515, F8, 20) (dual of [515, 463, 21]-code) [i]✔
5Linear OA(859, 519, F8, 22) (dual of [519, 460, 23]-code) [i]✔
6Linear OA(853, 519, F8, 20) (dual of [519, 466, 21]-code) [i]✔
7Linear OA(864, 524, F8, 23) (dual of [524, 460, 24]-code) [i]✔
8Linear OA(854, 521, F8, 20) (dual of [521, 467, 21]-code) [i]✔
9Linear OA(855, 524, F8, 20) (dual of [524, 469, 21]-code) [i]✔
10Linear OA(870, 530, F8, 25) (dual of [530, 460, 26]-code) [i]✔
11Linear OA(868, 528, F8, 24) (dual of [528, 460, 25]-code) [i]✔
12Linear OA(858, 530, F8, 20) (dual of [530, 472, 21]-code) [i]✔
13Linear OA(874, 534, F8, 26) (dual of [534, 460, 27]-code) [i]✔
14Linear OA(859, 534, F8, 20) (dual of [534, 475, 21]-code) [i]✔
15Linear OA(881, 541, F8, 27) (dual of [541, 460, 28]-code) [i]✔
16Linear OA(862, 538, F8, 20) (dual of [538, 476, 21]-code) [i]✔
17Linear OA(863, 541, F8, 20) (dual of [541, 478, 21]-code) [i]✔
18Linear OA(886, 546, F8, 28) (dual of [546, 460, 29]-code) [i]✔
19Linear OA(890, 550, F8, 29) (dual of [550, 460, 30]-code) [i]✔
20Linear OA(894, 554, F8, 30) (dual of [554, 460, 31]-code) [i]✔
21Linear OA(898, 558, F8, 31) (dual of [558, 460, 32]-code) [i]✔
22Linear OA(8105, 565, F8, 33) (dual of [565, 460, 34]-code) [i]✔
23Linear OA(8103, 563, F8, 32) (dual of [563, 460, 33]-code) [i]✔
24Linear OA(885, 543, F8, 28) (dual of [543, 458, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(880, 540, F8, 27) (dual of [540, 460, 28]-code) [i]✔
26Linear OA(879, 538, F8, 27) (dual of [538, 459, 28]-code) [i]✔
27Linear OA(878, 536, F8, 27) (dual of [536, 458, 28]-code) [i]✔
28Linear OA(877, 540, F8, 26) (dual of [540, 463, 27]-code) [i]✔
29Linear OA(876, 538, F8, 26) (dual of [538, 462, 27]-code) [i]✔
30Linear OA(875, 536, F8, 26) (dual of [536, 461, 27]-code) [i]✔
31Linear OA(879, 543, F8, 26) (dual of [543, 464, 27]-code) [i]✔
32Linear OA(869, 527, F8, 25) (dual of [527, 458, 26]-code) [i]✔
33Linear OA(869, 530, F8, 24) (dual of [530, 461, 25]-code) [i]✔
34Linear OA(857, 527, F8, 20) (dual of [527, 470, 21]-code) [i]✔
35Linear OA(862, 540, F8, 20) (dual of [540, 478, 21]-code) [i]✔
36Linear OA(861, 538, F8, 20) (dual of [538, 477, 21]-code) [i]✔
37Linear OA(860, 536, F8, 20) (dual of [536, 476, 21]-code) [i]✔