Information on Result #615631

Linear OA(946, 729, F9, 17) (dual of [729, 683, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(954, 739, F9, 17) (dual of [739, 685, 18]-code) [i](u, u+v)-Construction
2Linear OA(955, 748, F9, 17) (dual of [748, 693, 18]-code) [i]
3Linear OA(957, 757, F9, 17) (dual of [757, 700, 18]-code) [i]
4Linear OA(958, 759, F9, 17) (dual of [759, 701, 18]-code) [i]
5Linear OA(959, 761, F9, 17) (dual of [761, 702, 18]-code) [i]
6Linear OA(957, 741, F9, 17) (dual of [741, 684, 18]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(958, 743, F9, 17) (dual of [743, 685, 18]-code) [i]
8Linear OA(959, 749, F9, 17) (dual of [749, 690, 18]-code) [i]
9Linear OA(950, 733, F9, 19) (dual of [733, 683, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(946, 732, F9, 17) (dual of [732, 686, 18]-code) [i]✔
11Linear OA(954, 737, F9, 20) (dual of [737, 683, 21]-code) [i]✔
12Linear OA(947, 736, F9, 17) (dual of [736, 689, 18]-code) [i]✔
13Linear OA(959, 742, F9, 21) (dual of [742, 683, 22]-code) [i]✔
14Linear OA(948, 739, F9, 17) (dual of [739, 691, 18]-code) [i]✔
15Linear OA(949, 741, F9, 17) (dual of [741, 692, 18]-code) [i]✔
16Linear OA(963, 745, F9, 22) (dual of [745, 682, 23]-code) [i]✔
17Linear OA(964, 747, F9, 22) (dual of [747, 683, 23]-code) [i]✔
18Linear OA(950, 745, F9, 17) (dual of [745, 695, 18]-code) [i]✔
19Linear OA(968, 751, F9, 23) (dual of [751, 683, 24]-code) [i]✔
20Linear OA(952, 750, F9, 17) (dual of [750, 698, 18]-code) [i]✔
21Linear OA(973, 756, F9, 24) (dual of [756, 683, 25]-code) [i]✔
22Linear OA(953, 754, F9, 17) (dual of [754, 701, 18]-code) [i]✔
23Linear OA(955, 757, F9, 17) (dual of [757, 702, 18]-code) [i]✔
24Linear OA(956, 760, F9, 17) (dual of [760, 704, 18]-code) [i]✔
25Linear OA(984, 767, F9, 26) (dual of [767, 683, 27]-code) [i]✔
26Linear OA(989, 770, F9, 28) (dual of [770, 681, 29]-code) [i]✔
27Linear OA(990, 773, F9, 28) (dual of [773, 683, 29]-code) [i]✔
28Linear OA(994, 777, F9, 29) (dual of [777, 683, 30]-code) [i]✔
29Linear OA(999, 782, F9, 30) (dual of [782, 683, 31]-code) [i]✔
30Linear OA(9104, 787, F9, 31) (dual of [787, 683, 32]-code) [i]✔
31Linear OA(983, 765, F9, 26) (dual of [765, 682, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(982, 763, F9, 26) (dual of [763, 681, 27]-code) [i]✔
33Linear OA(978, 761, F9, 25) (dual of [761, 683, 26]-code) [i]✔
34Linear OA(977, 759, F9, 25) (dual of [759, 682, 26]-code) [i]✔
35Linear OA(972, 753, F9, 24) (dual of [753, 681, 25]-code) [i]✔
36Linear OA(974, 758, F9, 24) (dual of [758, 684, 25]-code) [i]✔
37Linear OA(969, 753, F9, 23) (dual of [753, 684, 24]-code) [i]✔
38Linear OA(951, 747, F9, 17) (dual of [747, 696, 18]-code) [i]✔
39Linear OA(955, 758, F9, 17) (dual of [758, 703, 18]-code) [i]✔
40Linear OA(954, 756, F9, 17) (dual of [756, 702, 18]-code) [i]✔
41Linear OA(959, 764, F9, 17) (dual of [764, 705, 18]-code) [i]✔
42Linear OA(959, 765, F9, 17) (dual of [765, 706, 18]-code) [i]✔
43Linear OA(958, 763, F9, 17) (dual of [763, 705, 18]-code) [i]✔