Information on Result #615787

Linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)

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(992, 765, F9, 27) (dual of [765, 673, 28]-code) [i](u, u+v)-Construction
2Linear OA(986, 744, F9, 27) (dual of [744, 658, 28]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(980, 737, F9, 29) (dual of [737, 657, 30]-code) [i]✔
4Linear OA(974, 737, F9, 27) (dual of [737, 663, 28]-code) [i]✔
5Linear OA(988, 740, F9, 31) (dual of [740, 652, 32]-code) [i]✔
6Linear OA(989, 746, F9, 31) (dual of [746, 657, 32]-code) [i]✔
7Linear OA(987, 740, F9, 30) (dual of [740, 653, 31]-code) [i]✔
8Linear OA(976, 740, F9, 27) (dual of [740, 664, 28]-code) [i]✔
9Linear OA(977, 746, F9, 27) (dual of [746, 669, 28]-code) [i]✔
10Linear OA(975, 740, F9, 26) (dual of [740, 665, 27]-code) [i]✔
11Linear OA(998, 755, F9, 33) (dual of [755, 657, 34]-code) [i]✔
12Linear OA(980, 755, F9, 27) (dual of [755, 675, 28]-code) [i]✔
13Linear OA(9112, 769, F9, 37) (dual of [769, 657, 38]-code) [i]✔
14Linear OA(9110, 762, F9, 36) (dual of [762, 652, 37]-code) [i]✔
15Linear OA(9108, 760, F9, 35) (dual of [760, 652, 36]-code) [i]✔
16Linear OA(9109, 766, F9, 35) (dual of [766, 657, 36]-code) [i]✔
17Linear OA(9106, 758, F9, 34) (dual of [758, 652, 35]-code) [i]✔
18Linear OA(9107, 764, F9, 34) (dual of [764, 657, 35]-code) [i]✔
19Linear OA(984, 760, F9, 27) (dual of [760, 676, 28]-code) [i]✔
20Linear OA(985, 766, F9, 27) (dual of [766, 681, 28]-code) [i]✔
21Linear OA(982, 758, F9, 26) (dual of [758, 676, 27]-code) [i]✔
22Linear OA(983, 764, F9, 26) (dual of [764, 681, 27]-code) [i]✔
23Linear OA(9121, 778, F9, 39) (dual of [778, 657, 40]-code) [i]✔
24Linear OA(9119, 771, F9, 38) (dual of [771, 652, 39]-code) [i]✔
25Linear OA(991, 778, F9, 27) (dual of [778, 687, 28]-code) [i]✔
26Linear OA(9131, 788, F9, 41) (dual of [788, 657, 42]-code) [i]✔
27Linear OA(9129, 786, F9, 40) (dual of [786, 657, 41]-code) [i]✔
28Linear OA(9141, 798, F9, 43) (dual of [798, 657, 44]-code) [i]✔
29Linear OA(9139, 796, F9, 42) (dual of [796, 657, 43]-code) [i]✔
30Linear OA(9150, 807, F9, 45) (dual of [807, 657, 46]-code) [i]✔
31Linear OA(9108, 762, F9, 35) (dual of [762, 654, 36]-code) [i]✔Construction XX with a Chain of Cyclic Codes
32Linear OA(9110, 763, F9, 36) (dual of [763, 653, 37]-code) [i]✔
33Linear OA(9107, 760, F9, 35) (dual of [760, 653, 36]-code) [i]✔
34Linear OA(9110, 762, F9, 37) (dual of [762, 652, 38]-code) [i]✔
35Linear OA(9108, 760, F9, 36) (dual of [760, 652, 37]-code) [i]✔
36Linear OA(9106, 758, F9, 35) (dual of [758, 652, 36]-code) [i]✔
37Linear OA(997, 749, F9, 33) (dual of [749, 652, 34]-code) [i]✔
38Linear OA(9102, 762, F9, 33) (dual of [762, 660, 34]-code) [i]✔
39Linear OA(9101, 760, F9, 33) (dual of [760, 659, 34]-code) [i]✔
40Linear OA(9100, 758, F9, 33) (dual of [758, 658, 34]-code) [i]✔
41Linear OA(991, 749, F9, 31) (dual of [749, 658, 32]-code) [i]✔
42Linear OA(979, 749, F9, 27) (dual of [749, 670, 28]-code) [i]✔
43Linear OA(984, 762, F9, 27) (dual of [762, 678, 28]-code) [i]✔
44Linear OA(983, 760, F9, 27) (dual of [760, 677, 28]-code) [i]✔
45Linear OA(982, 758, F9, 27) (dual of [758, 676, 28]-code) [i]✔