Information on Result #614999

Linear OA(858, 512, F8, 22) (dual of [512, 454, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(869, 524, F8, 22) (dual of [524, 455, 23]-code) [i](u, u+v)-Construction
2Linear OA(870, 526, F8, 22) (dual of [526, 456, 23]-code) [i]
3Linear OA(871, 529, F8, 22) (dual of [529, 458, 23]-code) [i]
4Linear OA(861, 515, F8, 23) (dual of [515, 454, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(858, 515, F8, 22) (dual of [515, 457, 23]-code) [i]✔
6Linear OA(866, 520, F8, 25) (dual of [520, 454, 26]-code) [i]✔
7Linear OA(859, 519, F8, 22) (dual of [519, 460, 23]-code) [i]✔
8Linear OA(870, 522, F8, 26) (dual of [522, 452, 27]-code) [i]✔
9Linear OA(871, 525, F8, 26) (dual of [525, 454, 27]-code) [i]✔
10Linear OA(860, 521, F8, 22) (dual of [521, 461, 23]-code) [i]✔
11Linear OA(861, 524, F8, 22) (dual of [524, 463, 23]-code) [i]✔
12Linear OA(876, 530, F8, 27) (dual of [530, 454, 28]-code) [i]✔
13Linear OA(862, 528, F8, 22) (dual of [528, 466, 23]-code) [i]✔
14Linear OA(880, 534, F8, 28) (dual of [534, 454, 29]-code) [i]✔
15Linear OA(864, 533, F8, 22) (dual of [533, 469, 23]-code) [i]✔
16Linear OA(887, 541, F8, 29) (dual of [541, 454, 30]-code) [i]✔
17Linear OA(869, 541, F8, 22) (dual of [541, 472, 23]-code) [i]✔
18Linear OA(892, 546, F8, 30) (dual of [546, 454, 31]-code) [i]✔
19Linear OA(871, 546, F8, 22) (dual of [546, 475, 23]-code) [i]✔
20Linear OA(896, 550, F8, 31) (dual of [550, 454, 32]-code) [i]✔
21Linear OA(8101, 555, F8, 33) (dual of [555, 454, 34]-code) [i]✔
22Linear OA(8106, 560, F8, 34) (dual of [560, 454, 35]-code) [i]✔
23Linear OA(8111, 565, F8, 35) (dual of [565, 454, 36]-code) [i]✔
24Linear OA(8116, 570, F8, 36) (dual of [570, 454, 37]-code) [i]✔
25Linear OA(895, 547, F8, 31) (dual of [547, 452, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(891, 543, F8, 30) (dual of [543, 452, 31]-code) [i]✔
27Linear OA(886, 540, F8, 29) (dual of [540, 454, 30]-code) [i]✔
28Linear OA(885, 538, F8, 29) (dual of [538, 453, 30]-code) [i]✔
29Linear OA(884, 536, F8, 29) (dual of [536, 452, 30]-code) [i]✔
30Linear OA(883, 540, F8, 28) (dual of [540, 457, 29]-code) [i]✔
31Linear OA(882, 538, F8, 28) (dual of [538, 456, 29]-code) [i]✔
32Linear OA(881, 536, F8, 28) (dual of [536, 455, 29]-code) [i]✔
33Linear OA(885, 543, F8, 28) (dual of [543, 458, 29]-code) [i]✔
34Linear OA(875, 527, F8, 27) (dual of [527, 452, 28]-code) [i]✔
35Linear OA(872, 527, F8, 26) (dual of [527, 455, 27]-code) [i]✔
36Linear OA(863, 530, F8, 22) (dual of [530, 467, 23]-code) [i]✔
37Linear OA(868, 540, F8, 22) (dual of [540, 472, 23]-code) [i]✔
38Linear OA(867, 538, F8, 22) (dual of [538, 471, 23]-code) [i]✔
39Linear OA(866, 536, F8, 22) (dual of [536, 470, 23]-code) [i]✔
40Linear OA(870, 543, F8, 22) (dual of [543, 473, 23]-code) [i]✔