Information on Result #615085

Linear OA(876, 512, F8, 29) (dual of [512, 436, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(890, 527, F8, 29) (dual of [527, 437, 30]-code) [i](u, u+v)-Construction
2Linear OA(891, 529, F8, 29) (dual of [529, 438, 30]-code) [i]
3Linear OA(892, 531, F8, 29) (dual of [531, 439, 30]-code) [i]
4Linear OA(893, 536, F8, 29) (dual of [536, 443, 30]-code) [i]
5Linear OA(879, 515, F8, 30) (dual of [515, 436, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(876, 515, F8, 29) (dual of [515, 439, 30]-code) [i]✔
7Linear OA(883, 519, F8, 31) (dual of [519, 436, 32]-code) [i]✔
8Linear OA(877, 519, F8, 29) (dual of [519, 442, 30]-code) [i]✔
9Linear OA(889, 525, F8, 33) (dual of [525, 436, 34]-code) [i]✔
10Linear OA(878, 521, F8, 29) (dual of [521, 443, 30]-code) [i]✔
11Linear OA(879, 524, F8, 29) (dual of [524, 445, 30]-code) [i]✔
12Linear OA(894, 530, F8, 34) (dual of [530, 436, 35]-code) [i]✔
13Linear OA(880, 528, F8, 29) (dual of [528, 448, 30]-code) [i]✔
14Linear OA(898, 534, F8, 35) (dual of [534, 436, 36]-code) [i]✔
15Linear OA(883, 534, F8, 29) (dual of [534, 451, 30]-code) [i]✔
16Linear OA(8104, 538, F8, 36) (dual of [538, 434, 37]-code) [i]✔
17Linear OA(8105, 541, F8, 36) (dual of [541, 436, 37]-code) [i]✔
18Linear OA(887, 541, F8, 29) (dual of [541, 454, 30]-code) [i]✔
19Linear OA(8110, 546, F8, 37) (dual of [546, 436, 38]-code) [i]✔
20Linear OA(889, 546, F8, 29) (dual of [546, 457, 30]-code) [i]✔
21Linear OA(8114, 550, F8, 38) (dual of [550, 436, 39]-code) [i]✔
22Linear OA(890, 550, F8, 29) (dual of [550, 460, 30]-code) [i]✔
23Linear OA(8118, 554, F8, 39) (dual of [554, 436, 40]-code) [i]✔
24Linear OA(891, 554, F8, 29) (dual of [554, 463, 30]-code) [i]✔
25Linear OA(8124, 560, F8, 41) (dual of [560, 436, 42]-code) [i]✔
26Linear OA(8122, 558, F8, 40) (dual of [558, 436, 41]-code) [i]✔
27Linear OA(892, 558, F8, 29) (dual of [558, 466, 30]-code) [i]✔
28Linear OA(8129, 565, F8, 42) (dual of [565, 436, 43]-code) [i]✔
29Linear OA(8134, 570, F8, 43) (dual of [570, 436, 44]-code) [i]✔
30Linear OA(8139, 575, F8, 44) (dual of [575, 436, 45]-code) [i]✔
31Linear OA(8145, 581, F8, 45) (dual of [581, 436, 46]-code) [i]✔
32Linear OA(8109, 543, F8, 37) (dual of [543, 434, 38]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(8104, 540, F8, 36) (dual of [540, 436, 37]-code) [i]✔
34Linear OA(8103, 538, F8, 36) (dual of [538, 435, 37]-code) [i]✔
35Linear OA(8102, 536, F8, 36) (dual of [536, 434, 37]-code) [i]✔
36Linear OA(8101, 540, F8, 35) (dual of [540, 439, 36]-code) [i]✔
37Linear OA(8100, 538, F8, 35) (dual of [538, 438, 36]-code) [i]✔
38Linear OA(899, 536, F8, 35) (dual of [536, 437, 36]-code) [i]✔
39Linear OA(8103, 543, F8, 35) (dual of [543, 440, 36]-code) [i]✔
40Linear OA(893, 527, F8, 34) (dual of [527, 434, 35]-code) [i]✔
41Linear OA(890, 527, F8, 33) (dual of [527, 437, 34]-code) [i]✔
42Linear OA(882, 531, F8, 29) (dual of [531, 449, 30]-code) [i]✔
43Linear OA(886, 540, F8, 29) (dual of [540, 454, 30]-code) [i]✔
44Linear OA(885, 538, F8, 29) (dual of [538, 453, 30]-code) [i]✔
45Linear OA(884, 536, F8, 29) (dual of [536, 452, 30]-code) [i]✔
46Linear OA(888, 543, F8, 29) (dual of [543, 455, 30]-code) [i]✔