Information on Result #615743

Linear OA(964, 729, F9, 24) (dual of [729, 665, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(976, 742, F9, 24) (dual of [742, 666, 25]-code) [i](u, u+v)-Construction
2Linear OA(977, 745, F9, 24) (dual of [745, 668, 25]-code) [i]
3Linear OA(978, 749, F9, 24) (dual of [749, 671, 25]-code) [i]
4Linear OA(979, 757, F9, 24) (dual of [757, 678, 25]-code) [i]
5Linear OA(980, 759, F9, 24) (dual of [759, 679, 25]-code) [i]
6Linear OA(967, 732, F9, 25) (dual of [732, 665, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(964, 732, F9, 24) (dual of [732, 668, 25]-code) [i]✔
8Linear OA(971, 736, F9, 26) (dual of [736, 665, 27]-code) [i]✔
9Linear OA(965, 736, F9, 24) (dual of [736, 671, 25]-code) [i]✔
10Linear OA(976, 739, F9, 28) (dual of [739, 663, 29]-code) [i]✔
11Linear OA(977, 742, F9, 28) (dual of [742, 665, 29]-code) [i]✔
12Linear OA(975, 739, F9, 27) (dual of [739, 664, 28]-code) [i]✔
13Linear OA(966, 739, F9, 24) (dual of [739, 673, 25]-code) [i]✔
14Linear OA(967, 741, F9, 24) (dual of [741, 674, 25]-code) [i]✔
15Linear OA(981, 745, F9, 29) (dual of [745, 664, 30]-code) [i]✔
16Linear OA(982, 747, F9, 29) (dual of [747, 665, 30]-code) [i]✔
17Linear OA(968, 745, F9, 24) (dual of [745, 677, 25]-code) [i]✔
18Linear OA(986, 751, F9, 30) (dual of [751, 665, 31]-code) [i]✔
19Linear OA(970, 750, F9, 24) (dual of [750, 680, 25]-code) [i]✔
20Linear OA(991, 756, F9, 31) (dual of [756, 665, 32]-code) [i]✔
21Linear OA(973, 756, F9, 24) (dual of [756, 683, 25]-code) [i]✔
22Linear OA(996, 759, F9, 32) (dual of [759, 663, 33]-code) [i]✔
23Linear OA(997, 762, F9, 32) (dual of [762, 665, 33]-code) [i]✔
24Linear OA(975, 759, F9, 24) (dual of [759, 684, 25]-code) [i]✔
25Linear OA(976, 762, F9, 24) (dual of [762, 686, 25]-code) [i]✔
26Linear OA(9102, 767, F9, 33) (dual of [767, 665, 34]-code) [i]✔
27Linear OA(978, 767, F9, 24) (dual of [767, 689, 25]-code) [i]✔
28Linear OA(9106, 769, F9, 34) (dual of [769, 663, 35]-code) [i]✔
29Linear OA(9107, 772, F9, 34) (dual of [772, 665, 35]-code) [i]✔
30Linear OA(979, 769, F9, 24) (dual of [769, 690, 25]-code) [i]✔
31Linear OA(980, 772, F9, 24) (dual of [772, 692, 25]-code) [i]✔
32Linear OA(9111, 776, F9, 35) (dual of [776, 665, 36]-code) [i]✔
33Linear OA(9117, 782, F9, 37) (dual of [782, 665, 38]-code) [i]✔
34Linear OA(9115, 780, F9, 36) (dual of [780, 665, 37]-code) [i]✔
35Linear OA(9122, 787, F9, 38) (dual of [787, 665, 39]-code) [i]✔
36Linear OA(9127, 792, F9, 39) (dual of [792, 665, 40]-code) [i]✔
37Linear OA(9132, 797, F9, 40) (dual of [797, 665, 41]-code) [i]✔
38Linear OA(9101, 764, F9, 33) (dual of [764, 663, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
39Linear OA(995, 758, F9, 32) (dual of [758, 663, 33]-code) [i]✔
40Linear OA(998, 764, F9, 32) (dual of [764, 666, 33]-code) [i]✔
41Linear OA(990, 753, F9, 31) (dual of [753, 663, 32]-code) [i]✔
42Linear OA(992, 758, F9, 31) (dual of [758, 666, 32]-code) [i]✔
43Linear OA(987, 753, F9, 30) (dual of [753, 666, 31]-code) [i]✔
44Linear OA(969, 747, F9, 24) (dual of [747, 678, 25]-code) [i]✔
45Linear OA(972, 753, F9, 24) (dual of [753, 681, 25]-code) [i]✔
46Linear OA(974, 758, F9, 24) (dual of [758, 684, 25]-code) [i]✔
47Linear OA(977, 764, F9, 24) (dual of [764, 687, 25]-code) [i]✔