Information on Result #719632

Linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,100}, and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(973, 565, F9, 2, 28) (dual of [(565, 2), 1057, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(973, 565, F9, 3, 28) (dual of [(565, 3), 1622, 29]-NRT-code) [i]
3Digital (45, 73, 565)-net over F9 [i]
4Linear OA(993, 785, F9, 28) (dual of [785, 692, 29]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(992, 783, F9, 28) (dual of [783, 691, 29]-code) [i]✔
6Linear OA(991, 780, F9, 28) (dual of [780, 689, 29]-code) [i]✔
7Linear OA(990, 778, F9, 28) (dual of [778, 688, 29]-code) [i]✔
8Linear OA(989, 774, F9, 28) (dual of [774, 685, 29]-code) [i]✔
9Linear OA(988, 771, F9, 28) (dual of [771, 683, 29]-code) [i]✔
10Linear OA(987, 769, F9, 28) (dual of [769, 682, 29]-code) [i]✔
11Linear OA(986, 766, F9, 28) (dual of [766, 680, 29]-code) [i]✔
12Linear OA(985, 764, F9, 28) (dual of [764, 679, 29]-code) [i]✔
13Linear OA(984, 760, F9, 28) (dual of [760, 676, 29]-code) [i]✔
14Linear OA(991, 782, F9, 28) (dual of [782, 691, 29]-code) [i]✔
15Linear OA(989, 777, F9, 28) (dual of [777, 688, 29]-code) [i]✔
16Linear OA(988, 773, F9, 28) (dual of [773, 685, 29]-code) [i]✔
17Linear OA(986, 768, F9, 28) (dual of [768, 682, 29]-code) [i]✔
18Linear OA(984, 763, F9, 28) (dual of [763, 679, 29]-code) [i]✔
19Linear OA(983, 759, F9, 28) (dual of [759, 676, 29]-code) [i]✔
20Linear OA(992, 768, F9, 30) (dual of [768, 676, 31]-code) [i]✔
21Linear OA(991, 765, F9, 30) (dual of [765, 674, 31]-code) [i]✔
22Linear OA(990, 763, F9, 30) (dual of [763, 673, 31]-code) [i]✔
23Linear OA(987, 772, F9, 28) (dual of [772, 685, 29]-code) [i]✔
24Linear OA(982, 758, F9, 28) (dual of [758, 676, 29]-code) [i]✔
25Linear OA(981, 754, F9, 28) (dual of [754, 673, 29]-code) [i]✔
26Linear OA(997, 773, F9, 31) (dual of [773, 676, 32]-code) [i]✔
27Linear OA(996, 770, F9, 31) (dual of [770, 674, 32]-code) [i]✔
28Linear OA(995, 768, F9, 31) (dual of [768, 673, 32]-code) [i]✔
29Linear OA(980, 752, F9, 28) (dual of [752, 672, 29]-code) [i]✔
30Linear OA(979, 748, F9, 28) (dual of [748, 669, 29]-code) [i]✔
31Linear OA(9101, 777, F9, 32) (dual of [777, 676, 33]-code) [i]✔
32Linear OA(9100, 774, F9, 32) (dual of [774, 674, 33]-code) [i]✔
33Linear OA(999, 772, F9, 32) (dual of [772, 673, 33]-code) [i]✔
34Linear OA(994, 767, F9, 31) (dual of [767, 673, 32]-code) [i]✔
35Linear OA(979, 749, F9, 28) (dual of [749, 670, 29]-code) [i]✔
36Linear OA(978, 746, F9, 28) (dual of [746, 668, 29]-code) [i]✔
37Linear OA(9106, 782, F9, 33) (dual of [782, 676, 34]-code) [i]✔
38Linear OA(9105, 779, F9, 33) (dual of [779, 674, 34]-code) [i]✔
39Linear OA(9104, 777, F9, 33) (dual of [777, 673, 34]-code) [i]✔
40Linear OA(998, 771, F9, 32) (dual of [771, 673, 33]-code) [i]✔
41Linear OA(977, 744, F9, 28) (dual of [744, 667, 29]-code) [i]✔
42Linear OA(976, 740, F9, 28) (dual of [740, 664, 29]-code) [i]✔
43Linear OA(9110, 786, F9, 34) (dual of [786, 676, 35]-code) [i]✔
44Linear OA(9109, 783, F9, 34) (dual of [783, 674, 35]-code) [i]✔
45Linear OA(9108, 781, F9, 34) (dual of [781, 673, 35]-code) [i]✔
46Linear OA(9103, 776, F9, 33) (dual of [776, 673, 34]-code) [i]✔
47Linear OA(996, 766, F9, 32) (dual of [766, 670, 33]-code) [i]✔
48Linear OA(9116, 792, F9, 35) (dual of [792, 676, 36]-code) [i]✔
49Linear OA(9114, 787, F9, 35) (dual of [787, 673, 36]-code) [i]✔
50Linear OA(9107, 780, F9, 34) (dual of [780, 673, 35]-code) [i]✔
51Linear OA(992, 754, F9, 32) (dual of [754, 662, 33]-code) [i]✔
52Linear OOA(973, 364, F9, 2, 28) (dual of [(364, 2), 655, 29]-NRT-code) [i]OOA Folding