Information on Result #615683

Linear OA(952, 729, F9, 20) (dual of [729, 677, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(962, 740, F9, 20) (dual of [740, 678, 21]-code) [i](u, u+v)-Construction
2Linear OA(963, 745, F9, 20) (dual of [745, 682, 21]-code) [i]
3Linear OA(964, 749, F9, 20) (dual of [749, 685, 21]-code) [i]
4Linear OA(965, 757, F9, 20) (dual of [757, 692, 21]-code) [i]
5Linear OA(966, 759, F9, 20) (dual of [759, 693, 21]-code) [i]
6Linear OA(967, 761, F9, 20) (dual of [761, 694, 21]-code) [i]
7Linear OA(965, 743, F9, 20) (dual of [743, 678, 21]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(966, 745, F9, 20) (dual of [745, 679, 21]-code) [i]
9Linear OA(967, 747, F9, 20) (dual of [747, 680, 21]-code) [i]
10Linear OA(955, 732, F9, 21) (dual of [732, 677, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(952, 732, F9, 20) (dual of [732, 680, 21]-code) [i]✔
12Linear OA(959, 736, F9, 22) (dual of [736, 677, 23]-code) [i]✔
13Linear OA(954, 737, F9, 20) (dual of [737, 683, 21]-code) [i]✔
14Linear OA(963, 739, F9, 23) (dual of [739, 676, 24]-code) [i]✔
15Linear OA(964, 741, F9, 23) (dual of [741, 677, 24]-code) [i]✔
16Linear OA(955, 739, F9, 20) (dual of [739, 684, 21]-code) [i]✔
17Linear OA(956, 742, F9, 20) (dual of [742, 686, 21]-code) [i]✔
18Linear OA(968, 745, F9, 24) (dual of [745, 677, 25]-code) [i]✔
19Linear OA(957, 745, F9, 20) (dual of [745, 688, 21]-code) [i]✔
20Linear OA(958, 747, F9, 20) (dual of [747, 689, 21]-code) [i]✔
21Linear OA(973, 750, F9, 25) (dual of [750, 677, 26]-code) [i]✔
22Linear OA(959, 751, F9, 20) (dual of [751, 692, 21]-code) [i]✔
23Linear OA(977, 754, F9, 26) (dual of [754, 677, 27]-code) [i]✔
24Linear OA(961, 756, F9, 20) (dual of [756, 695, 21]-code) [i]✔
25Linear OA(984, 759, F9, 28) (dual of [759, 675, 29]-code) [i]✔
26Linear OA(985, 762, F9, 28) (dual of [762, 677, 29]-code) [i]✔
27Linear OA(963, 759, F9, 20) (dual of [759, 696, 21]-code) [i]✔
28Linear OA(964, 762, F9, 20) (dual of [762, 698, 21]-code) [i]✔
29Linear OA(990, 767, F9, 29) (dual of [767, 677, 30]-code) [i]✔
30Linear OA(966, 767, F9, 20) (dual of [767, 701, 21]-code) [i]✔
31Linear OA(994, 769, F9, 30) (dual of [769, 675, 31]-code) [i]✔
32Linear OA(995, 772, F9, 30) (dual of [772, 677, 31]-code) [i]✔
33Linear OA(967, 769, F9, 20) (dual of [769, 702, 21]-code) [i]✔
34Linear OA(999, 776, F9, 31) (dual of [776, 677, 32]-code) [i]✔
35Linear OA(9103, 780, F9, 32) (dual of [780, 677, 33]-code) [i]✔
36Linear OA(9108, 785, F9, 33) (dual of [785, 677, 34]-code) [i]✔
37Linear OA(9113, 790, F9, 34) (dual of [790, 677, 35]-code) [i]✔
38Linear OA(989, 764, F9, 29) (dual of [764, 675, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
39Linear OA(983, 758, F9, 28) (dual of [758, 675, 29]-code) [i]✔
40Linear OA(986, 764, F9, 28) (dual of [764, 678, 29]-code) [i]✔
41Linear OA(979, 758, F9, 26) (dual of [758, 679, 27]-code) [i]✔
42Linear OA(978, 756, F9, 26) (dual of [756, 678, 27]-code) [i]✔
43Linear OA(969, 747, F9, 24) (dual of [747, 678, 25]-code) [i]✔
44Linear OA(960, 753, F9, 20) (dual of [753, 693, 21]-code) [i]✔
45Linear OA(962, 758, F9, 20) (dual of [758, 696, 21]-code) [i]✔
46Linear OA(965, 764, F9, 20) (dual of [764, 699, 21]-code) [i]✔