Information on Result #687992

Linear OA(843, 512, F8, 17) (dual of [512, 469, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(846, 515, F8, 18) (dual of [515, 469, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(844, 516, F8, 17) (dual of [516, 472, 18]-code) [i]✔
3Linear OA(845, 520, F8, 17) (dual of [520, 475, 18]-code) [i]✔
4Linear OA(854, 521, F8, 20) (dual of [521, 467, 21]-code) [i]✔
5Linear OA(855, 524, F8, 20) (dual of [524, 469, 21]-code) [i]✔
6Linear OA(847, 525, F8, 17) (dual of [525, 478, 18]-code) [i]✔
7Linear OA(849, 530, F8, 17) (dual of [530, 481, 18]-code) [i]✔
8Linear OA(847, 528, F8, 16) (dual of [528, 481, 17]-code) [i]✔
9Linear OA(864, 533, F8, 22) (dual of [533, 469, 23]-code) [i]✔
10Linear OA(850, 534, F8, 17) (dual of [534, 484, 18]-code) [i]✔
11Linear OA(853, 538, F8, 17) (dual of [538, 485, 18]-code) [i]✔
12Linear OA(850, 537, F8, 16) (dual of [537, 487, 17]-code) [i]✔
13Linear OA(877, 546, F8, 25) (dual of [546, 469, 26]-code) [i]✔
14Linear OA(875, 544, F8, 24) (dual of [544, 469, 25]-code) [i]✔
15Linear OA(881, 550, F8, 26) (dual of [550, 469, 27]-code) [i]✔
16Linear OA(885, 554, F8, 27) (dual of [554, 469, 28]-code) [i]✔
17Linear OA(889, 558, F8, 28) (dual of [558, 469, 29]-code) [i]✔
18Linear OA(876, 543, F8, 25) (dual of [543, 467, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
19Linear OA(874, 543, F8, 24) (dual of [543, 469, 25]-code) [i]✔
20Linear OA(873, 541, F8, 24) (dual of [541, 468, 25]-code) [i]✔
21Linear OA(872, 539, F8, 24) (dual of [539, 467, 25]-code) [i]✔
22Linear OA(872, 544, F8, 23) (dual of [544, 472, 24]-code) [i]✔
23Linear OA(871, 542, F8, 23) (dual of [542, 471, 24]-code) [i]✔
24Linear OA(863, 530, F8, 22) (dual of [530, 467, 23]-code) [i]✔
25Linear OA(868, 540, F8, 22) (dual of [540, 472, 23]-code) [i]✔
26Linear OA(867, 538, F8, 22) (dual of [538, 471, 23]-code) [i]✔
27Linear OA(866, 536, F8, 22) (dual of [536, 470, 23]-code) [i]✔
28Linear OA(870, 543, F8, 22) (dual of [543, 473, 23]-code) [i]✔
29Linear OA(857, 527, F8, 20) (dual of [527, 470, 21]-code) [i]✔
30Linear OA(848, 527, F8, 17) (dual of [527, 479, 18]-code) [i]✔
31Linear OA(848, 530, F8, 16) (dual of [530, 482, 17]-code) [i]✔
32Linear OA(853, 540, F8, 17) (dual of [540, 487, 18]-code) [i]✔
33Linear OA(852, 538, F8, 17) (dual of [538, 486, 18]-code) [i]✔
34Linear OA(851, 536, F8, 17) (dual of [536, 485, 18]-code) [i]✔
35Linear OA(852, 541, F8, 16) (dual of [541, 489, 17]-code) [i]✔
36Linear OA(851, 539, F8, 16) (dual of [539, 488, 17]-code) [i]✔
37Linear OOA(843, 256, F8, 2, 17) (dual of [(256, 2), 469, 18]-NRT-code) [i]OOA Folding