Information on Result #719774

Linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,92}, and designed minimum distance d ≥ |I|+1 = 32

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(982, 659, F9, 2, 31) (dual of [(659, 2), 1236, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(982, 659, F9, 3, 31) (dual of [(659, 3), 1895, 32]-NRT-code) [i]
3Digital (51, 82, 659)-net over F9 [i]
4Linear OA(993, 761, F9, 31) (dual of [761, 668, 32]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(992, 759, F9, 31) (dual of [759, 667, 32]-code) [i]✔
6Linear OA(992, 760, F9, 31) (dual of [760, 668, 32]-code) [i]✔
7Linear OA(991, 758, F9, 31) (dual of [758, 667, 32]-code) [i]✔
8Linear OA(990, 755, F9, 31) (dual of [755, 665, 32]-code) [i]✔
9Linear OA(989, 753, F9, 31) (dual of [753, 664, 32]-code) [i]✔
10Linear OA(988, 749, F9, 31) (dual of [749, 661, 32]-code) [i]✔
11Linear OA(987, 747, F9, 31) (dual of [747, 660, 32]-code) [i]✔
12Linear OA(986, 743, F9, 31) (dual of [743, 657, 32]-code) [i]✔
13Linear OA(986, 744, F9, 31) (dual of [744, 658, 32]-code) [i]✔
14Linear OA(9127, 794, F9, 39) (dual of [794, 667, 40]-code) [i]✔
15Linear OA(9126, 791, F9, 39) (dual of [791, 665, 40]-code) [i]✔
16Linear OA(9125, 789, F9, 39) (dual of [789, 664, 40]-code) [i]✔
17Linear OA(9124, 788, F9, 39) (dual of [788, 664, 40]-code) [i]✔
18Linear OA(9123, 785, F9, 39) (dual of [785, 662, 40]-code) [i]✔
19Linear OA(9122, 783, F9, 39) (dual of [783, 661, 40]-code) [i]✔
20Linear OA(9121, 780, F9, 39) (dual of [780, 659, 40]-code) [i]✔
21Linear OA(9120, 778, F9, 39) (dual of [778, 658, 40]-code) [i]✔
22Linear OA(9119, 774, F9, 39) (dual of [774, 655, 40]-code) [i]✔
23Linear OA(9118, 771, F9, 39) (dual of [771, 653, 40]-code) [i]✔
24Linear OA(9117, 769, F9, 39) (dual of [769, 652, 40]-code) [i]✔
25Linear OA(9110, 760, F9, 38) (dual of [760, 650, 39]-code) [i]✔
26Linear OA(9116, 766, F9, 39) (dual of [766, 650, 40]-code) [i]✔
27Linear OA(9114, 761, F9, 39) (dual of [761, 647, 40]-code) [i]✔
28Linear OA(9109, 758, F9, 38) (dual of [758, 649, 39]-code) [i]✔
29Linear OA(9116, 768, F9, 39) (dual of [768, 652, 40]-code) [i]✔
30Linear OA(9115, 765, F9, 39) (dual of [765, 650, 40]-code) [i]✔
31Linear OA(9114, 763, F9, 39) (dual of [763, 649, 40]-code) [i]✔
32Linear OA(9113, 759, F9, 39) (dual of [759, 646, 40]-code) [i]✔
33Linear OA(9121, 765, F9, 41) (dual of [765, 644, 42]-code) [i]✔
34Linear OA(9120, 763, F9, 41) (dual of [763, 643, 42]-code) [i]✔
35Linear OA(9125, 768, F9, 42) (dual of [768, 643, 43]-code) [i]✔
36Linear OA(9130, 774, F9, 43) (dual of [774, 644, 44]-code) [i]✔
37Linear OA(9129, 772, F9, 43) (dual of [772, 643, 44]-code) [i]✔
38Linear OA(9134, 777, F9, 44) (dual of [777, 643, 45]-code) [i]✔
39Linear OA(9138, 777, F9, 45) (dual of [777, 639, 46]-code) [i]✔
40Linear OA(9142, 788, F9, 46) (dual of [788, 646, 47]-code) [i]✔
41Linear OA(9141, 785, F9, 46) (dual of [785, 644, 47]-code) [i]✔
42Linear OA(9140, 783, F9, 46) (dual of [783, 643, 47]-code) [i]✔
43Linear OA(9148, 794, F9, 47) (dual of [794, 646, 48]-code) [i]✔
44Linear OA(9147, 791, F9, 47) (dual of [791, 644, 48]-code) [i]✔
45Linear OA(9146, 789, F9, 47) (dual of [789, 643, 48]-code) [i]✔