Information on Result #615065

Linear OA(870, 512, F8, 27) (dual of [512, 442, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(883, 526, F8, 27) (dual of [526, 443, 28]-code) [i](u, u+v)-Construction
2Linear OA(884, 528, F8, 27) (dual of [528, 444, 28]-code) [i]
3Linear OA(885, 530, F8, 27) (dual of [530, 445, 28]-code) [i]
4Linear OA(886, 536, F8, 27) (dual of [536, 450, 28]-code) [i]
5Linear OA(887, 539, F8, 27) (dual of [539, 452, 28]-code) [i]
6Linear OA(873, 515, F8, 28) (dual of [515, 442, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(870, 515, F8, 27) (dual of [515, 445, 28]-code) [i]✔
8Linear OA(877, 519, F8, 29) (dual of [519, 442, 30]-code) [i]✔
9Linear OA(871, 519, F8, 27) (dual of [519, 448, 28]-code) [i]✔
10Linear OA(881, 521, F8, 30) (dual of [521, 440, 31]-code) [i]✔
11Linear OA(882, 524, F8, 30) (dual of [524, 442, 31]-code) [i]✔
12Linear OA(873, 522, F8, 27) (dual of [522, 449, 28]-code) [i]✔
13Linear OA(874, 525, F8, 27) (dual of [525, 451, 28]-code) [i]✔
14Linear OA(886, 528, F8, 31) (dual of [528, 442, 32]-code) [i]✔
15Linear OA(876, 530, F8, 27) (dual of [530, 454, 28]-code) [i]✔
16Linear OA(892, 534, F8, 33) (dual of [534, 442, 34]-code) [i]✔
17Linear OA(877, 534, F8, 27) (dual of [534, 457, 28]-code) [i]✔
18Linear OA(898, 538, F8, 34) (dual of [538, 440, 35]-code) [i]✔
19Linear OA(899, 541, F8, 34) (dual of [541, 442, 35]-code) [i]✔
20Linear OA(881, 541, F8, 27) (dual of [541, 460, 28]-code) [i]✔
21Linear OA(8104, 546, F8, 35) (dual of [546, 442, 36]-code) [i]✔
22Linear OA(883, 546, F8, 27) (dual of [546, 463, 28]-code) [i]✔
23Linear OA(8108, 550, F8, 36) (dual of [550, 442, 37]-code) [i]✔
24Linear OA(884, 550, F8, 27) (dual of [550, 466, 28]-code) [i]✔
25Linear OA(8112, 554, F8, 37) (dual of [554, 442, 38]-code) [i]✔
26Linear OA(885, 554, F8, 27) (dual of [554, 469, 28]-code) [i]✔
27Linear OA(8116, 558, F8, 38) (dual of [558, 442, 39]-code) [i]✔
28Linear OA(8121, 563, F8, 39) (dual of [563, 442, 40]-code) [i]✔
29Linear OA(8128, 570, F8, 41) (dual of [570, 442, 42]-code) [i]✔
30Linear OA(8126, 568, F8, 40) (dual of [568, 442, 41]-code) [i]✔
31Linear OA(8133, 575, F8, 42) (dual of [575, 442, 43]-code) [i]✔
32Linear OA(8139, 581, F8, 43) (dual of [581, 442, 44]-code) [i]✔
33Linear OA(8103, 543, F8, 35) (dual of [543, 440, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(898, 540, F8, 34) (dual of [540, 442, 35]-code) [i]✔
35Linear OA(897, 538, F8, 34) (dual of [538, 441, 35]-code) [i]✔
36Linear OA(896, 536, F8, 34) (dual of [536, 440, 35]-code) [i]✔
37Linear OA(890, 530, F8, 32) (dual of [530, 440, 33]-code) [i]✔
38Linear OA(895, 540, F8, 33) (dual of [540, 445, 34]-code) [i]✔
39Linear OA(894, 538, F8, 33) (dual of [538, 444, 34]-code) [i]✔
40Linear OA(893, 536, F8, 33) (dual of [536, 443, 34]-code) [i]✔
41Linear OA(897, 543, F8, 33) (dual of [543, 446, 34]-code) [i]✔
42Linear OA(887, 530, F8, 31) (dual of [530, 443, 32]-code) [i]✔
43Linear OA(875, 527, F8, 27) (dual of [527, 452, 28]-code) [i]✔
44Linear OA(880, 540, F8, 27) (dual of [540, 460, 28]-code) [i]✔
45Linear OA(879, 538, F8, 27) (dual of [538, 459, 28]-code) [i]✔
46Linear OA(878, 536, F8, 27) (dual of [536, 458, 28]-code) [i]✔
47Linear OA(882, 543, F8, 27) (dual of [543, 461, 28]-code) [i]✔