Information on Result #687983

Linear OA(861, 512, F8, 23) (dual of [512, 451, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(865, 516, F8, 25) (dual of [516, 451, 26]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(861, 515, F8, 23) (dual of [515, 454, 24]-code) [i]
3Linear OA(869, 520, F8, 26) (dual of [520, 451, 27]-code) [i]
4Linear OA(873, 522, F8, 27) (dual of [522, 449, 28]-code) [i]
5Linear OA(874, 525, F8, 27) (dual of [525, 451, 28]-code) [i]
6Linear OA(864, 524, F8, 23) (dual of [524, 460, 24]-code) [i]
7Linear OA(879, 530, F8, 28) (dual of [530, 451, 29]-code) [i]
8Linear OA(883, 534, F8, 29) (dual of [534, 451, 30]-code) [i]
9Linear OA(867, 533, F8, 23) (dual of [533, 466, 24]-code) [i]
10Linear OA(889, 538, F8, 30) (dual of [538, 449, 31]-code) [i]
11Linear OA(890, 541, F8, 30) (dual of [541, 451, 31]-code) [i]
12Linear OA(895, 546, F8, 31) (dual of [546, 451, 32]-code) [i]
13Linear OA(875, 550, F8, 23) (dual of [550, 475, 24]-code) [i]
14Linear OA(8104, 555, F8, 34) (dual of [555, 451, 35]-code) [i]
15Linear OA(8114, 565, F8, 36) (dual of [565, 451, 37]-code) [i]
16Linear OA(898, 547, F8, 32) (dual of [547, 449, 33]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(894, 543, F8, 31) (dual of [543, 449, 32]-code) [i]
18Linear OA(893, 544, F8, 31) (dual of [544, 451, 32]-code) [i]
19Linear OA(892, 542, F8, 31) (dual of [542, 450, 32]-code) [i]
20Linear OA(891, 540, F8, 31) (dual of [540, 449, 32]-code) [i]
21Linear OA(889, 540, F8, 30) (dual of [540, 451, 31]-code) [i]
22Linear OA(888, 538, F8, 30) (dual of [538, 450, 31]-code) [i]
23Linear OA(887, 536, F8, 30) (dual of [536, 449, 31]-code) [i]
24Linear OA(882, 531, F8, 29) (dual of [531, 449, 30]-code) [i]
25Linear OA(886, 540, F8, 29) (dual of [540, 454, 30]-code) [i]
26Linear OA(885, 538, F8, 29) (dual of [538, 453, 30]-code) [i]
27Linear OA(884, 536, F8, 29) (dual of [536, 452, 30]-code) [i]
28Linear OA(888, 543, F8, 29) (dual of [543, 455, 30]-code) [i]
29Linear OA(878, 527, F8, 28) (dual of [527, 449, 29]-code) [i]
30Linear OA(875, 527, F8, 27) (dual of [527, 452, 28]-code) [i]
31Linear OA(872, 544, F8, 23) (dual of [544, 472, 24]-code) [i]
32Linear OA(871, 542, F8, 23) (dual of [542, 471, 24]-code) [i]