Information on Result #615662

Linear OA(949, 730, F9, 19) (dual of [730, 681, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(948, 729, F9, 18) (dual of [729, 681, 19]-code) [i]Truncation
2Linear OA(959, 750, F9, 19) (dual of [750, 691, 20]-code) [i](u, u+v)-Construction
3Linear OA(961, 758, F9, 19) (dual of [758, 697, 20]-code) [i]
4Linear OA(962, 760, F9, 19) (dual of [760, 698, 20]-code) [i]
5Linear OA(963, 762, F9, 19) (dual of [762, 699, 20]-code) [i]
6Linear OA(963, 746, F9, 19) (dual of [746, 683, 20]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(953, 745, F9, 19) (dual of [745, 692, 20]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(954, 767, F9, 19) (dual of [767, 713, 20]-code) [i]
9Linear OA(955, 816, F9, 19) (dual of [816, 761, 20]-code) [i]
10Linear OA(956, 897, F9, 19) (dual of [897, 841, 20]-code) [i]
11Linear OA(957, 1004, F9, 19) (dual of [1004, 947, 20]-code) [i]
12Linear OA(958, 740, F9, 19) (dual of [740, 682, 20]-code) [i]✔Construction X with Cyclic Codes
13Linear OA(956, 737, F9, 21) (dual of [737, 681, 22]-code) [i]✔
14Linear OA(952, 739, F9, 19) (dual of [739, 687, 20]-code) [i]✔
15Linear OA(964, 740, F9, 23) (dual of [740, 676, 24]-code) [i]✔
16Linear OA(965, 746, F9, 23) (dual of [746, 681, 24]-code) [i]✔
17Linear OA(963, 740, F9, 22) (dual of [740, 677, 23]-code) [i]✔
18Linear OA(955, 746, F9, 19) (dual of [746, 691, 20]-code) [i]✔
19Linear OA(956, 749, F9, 19) (dual of [749, 693, 20]-code) [i]✔
20Linear OA(954, 746, F9, 18) (dual of [746, 692, 19]-code) [i]✔
21Linear OA(952, 740, F9, 17) (dual of [740, 688, 18]-code) [i]✔
22Linear OA(953, 746, F9, 17) (dual of [746, 693, 18]-code) [i]✔
23Linear OA(951, 740, F9, 16) (dual of [740, 689, 17]-code) [i]✔
24Linear OA(974, 755, F9, 25) (dual of [755, 681, 26]-code) [i]✔
25Linear OA(959, 758, F9, 19) (dual of [758, 699, 20]-code) [i]✔
26Linear OA(956, 755, F9, 17) (dual of [755, 699, 18]-code) [i]✔
27Linear OA(984, 760, F9, 27) (dual of [760, 676, 28]-code) [i]✔
28Linear OA(985, 766, F9, 27) (dual of [766, 681, 28]-code) [i]✔
29Linear OA(982, 758, F9, 26) (dual of [758, 676, 27]-code) [i]✔
30Linear OA(983, 764, F9, 26) (dual of [764, 681, 27]-code) [i]✔
31Linear OA(962, 762, F9, 18) (dual of [762, 700, 19]-code) [i]✔
32Linear OA(994, 770, F9, 29) (dual of [770, 676, 30]-code) [i]✔
33Linear OA(995, 776, F9, 29) (dual of [776, 681, 30]-code) [i]✔
34Linear OA(993, 771, F9, 28) (dual of [771, 678, 29]-code) [i]✔
35Linear OA(9103, 784, F9, 31) (dual of [784, 681, 32]-code) [i]✔
36Linear OA(984, 762, F9, 27) (dual of [762, 678, 28]-code) [i]✔Construction XX with a Chain of Cyclic Codes
37Linear OA(983, 760, F9, 27) (dual of [760, 677, 28]-code) [i]✔
38Linear OA(982, 758, F9, 27) (dual of [758, 676, 28]-code) [i]✔
39Linear OA(973, 749, F9, 25) (dual of [749, 676, 26]-code) [i]✔
40Linear OA(981, 766, F9, 25) (dual of [766, 685, 26]-code) [i]✔
41Linear OA(980, 764, F9, 25) (dual of [764, 684, 26]-code) [i]✔
42Linear OA(979, 762, F9, 25) (dual of [762, 683, 26]-code) [i]✔
43Linear OA(978, 760, F9, 25) (dual of [760, 682, 26]-code) [i]✔
44Linear OA(970, 753, F9, 23) (dual of [753, 683, 24]-code) [i]✔
45Linear OA(969, 751, F9, 23) (dual of [751, 682, 24]-code) [i]✔
46Linear OA(960, 742, F9, 21) (dual of [742, 682, 22]-code) [i]✔
47Linear OA(954, 742, F9, 19) (dual of [742, 688, 20]-code) [i]✔
48Linear OA(958, 752, F9, 19) (dual of [752, 694, 20]-code) [i]✔
49Linear OA(955, 749, F9, 17) (dual of [749, 694, 18]-code) [i]✔
50Linear OA(962, 763, F9, 18) (dual of [763, 701, 19]-code) [i]✔
51Linear OA(962, 762, F9, 19) (dual of [762, 700, 20]-code) [i]✔
52Linear OA(960, 760, F9, 18) (dual of [760, 700, 19]-code) [i]✔
53Linear OOA(949, 365, F9, 2, 19) (dual of [(365, 2), 681, 20]-NRT-code) [i]OOA Folding