Information on Result #615075

Linear OA(873, 512, F8, 28) (dual of [512, 439, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28

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(887, 527, F8, 28) (dual of [527, 440, 29]-code) [i](u, u+v)-Construction
2Linear OA(888, 529, F8, 28) (dual of [529, 441, 29]-code) [i]
3Linear OA(889, 531, F8, 28) (dual of [531, 442, 29]-code) [i]
4Linear OA(890, 536, F8, 28) (dual of [536, 446, 29]-code) [i]
5Linear OA(891, 538, F8, 28) (dual of [538, 447, 29]-code) [i]
6Linear OA(876, 515, F8, 29) (dual of [515, 439, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(873, 515, F8, 28) (dual of [515, 442, 29]-code) [i]✔
8Linear OA(880, 519, F8, 30) (dual of [519, 439, 31]-code) [i]✔
9Linear OA(874, 519, F8, 28) (dual of [519, 445, 29]-code) [i]✔
10Linear OA(884, 521, F8, 31) (dual of [521, 437, 32]-code) [i]✔
11Linear OA(885, 524, F8, 31) (dual of [524, 439, 32]-code) [i]✔
12Linear OA(875, 521, F8, 28) (dual of [521, 446, 29]-code) [i]✔
13Linear OA(876, 524, F8, 28) (dual of [524, 448, 29]-code) [i]✔
14Linear OA(891, 530, F8, 33) (dual of [530, 439, 34]-code) [i]✔
15Linear OA(889, 528, F8, 32) (dual of [528, 439, 33]-code) [i]✔
16Linear OA(879, 530, F8, 28) (dual of [530, 451, 29]-code) [i]✔
17Linear OA(895, 534, F8, 34) (dual of [534, 439, 35]-code) [i]✔
18Linear OA(880, 534, F8, 28) (dual of [534, 454, 29]-code) [i]✔
19Linear OA(8101, 538, F8, 35) (dual of [538, 437, 36]-code) [i]✔
20Linear OA(8102, 541, F8, 35) (dual of [541, 439, 36]-code) [i]✔
21Linear OA(883, 538, F8, 28) (dual of [538, 455, 29]-code) [i]✔
22Linear OA(884, 541, F8, 28) (dual of [541, 457, 29]-code) [i]✔
23Linear OA(8107, 546, F8, 36) (dual of [546, 439, 37]-code) [i]✔
24Linear OA(886, 546, F8, 28) (dual of [546, 460, 29]-code) [i]✔
25Linear OA(8111, 550, F8, 37) (dual of [550, 439, 38]-code) [i]✔
26Linear OA(887, 550, F8, 28) (dual of [550, 463, 29]-code) [i]✔
27Linear OA(8115, 554, F8, 38) (dual of [554, 439, 39]-code) [i]✔
28Linear OA(888, 554, F8, 28) (dual of [554, 466, 29]-code) [i]✔
29Linear OA(8119, 558, F8, 39) (dual of [558, 439, 40]-code) [i]✔
30Linear OA(889, 558, F8, 28) (dual of [558, 469, 29]-code) [i]✔
31Linear OA(8126, 565, F8, 41) (dual of [565, 439, 42]-code) [i]✔
32Linear OA(8124, 563, F8, 40) (dual of [563, 439, 41]-code) [i]✔
33Linear OA(8131, 570, F8, 42) (dual of [570, 439, 43]-code) [i]✔
34Linear OA(8136, 575, F8, 43) (dual of [575, 439, 44]-code) [i]✔
35Linear OA(8142, 581, F8, 44) (dual of [581, 439, 45]-code) [i]✔
36Linear OA(8106, 543, F8, 36) (dual of [543, 437, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
37Linear OA(8101, 540, F8, 35) (dual of [540, 439, 36]-code) [i]✔
38Linear OA(8100, 538, F8, 35) (dual of [538, 438, 36]-code) [i]✔
39Linear OA(899, 536, F8, 35) (dual of [536, 437, 36]-code) [i]✔
40Linear OA(898, 540, F8, 34) (dual of [540, 442, 35]-code) [i]✔
41Linear OA(897, 538, F8, 34) (dual of [538, 441, 35]-code) [i]✔
42Linear OA(896, 536, F8, 34) (dual of [536, 440, 35]-code) [i]✔
43Linear OA(8100, 543, F8, 34) (dual of [543, 443, 35]-code) [i]✔
44Linear OA(890, 527, F8, 33) (dual of [527, 437, 34]-code) [i]✔
45Linear OA(890, 530, F8, 32) (dual of [530, 440, 33]-code) [i]✔
46Linear OA(878, 527, F8, 28) (dual of [527, 449, 29]-code) [i]✔
47Linear OA(883, 540, F8, 28) (dual of [540, 457, 29]-code) [i]✔
48Linear OA(882, 538, F8, 28) (dual of [538, 456, 29]-code) [i]✔
49Linear OA(881, 536, F8, 28) (dual of [536, 455, 29]-code) [i]✔
50Linear OA(885, 543, F8, 28) (dual of [543, 458, 29]-code) [i]✔