Information on Result #720583

Linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(997, 701, F9, 2, 37) (dual of [(701, 2), 1305, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(997, 701, F9, 3, 37) (dual of [(701, 3), 2006, 38]-NRT-code) [i]
3Digital (60, 97, 701)-net over F9 [i]
4Linear OA(9129, 775, F9, 43) (dual of [775, 646, 44]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(9110, 746, F9, 40) (dual of [746, 636, 41]-code) [i]✔
6Linear OA(9144, 789, F9, 46) (dual of [789, 645, 47]-code) [i]✔
7Linear OA(9134, 778, F9, 44) (dual of [778, 644, 45]-code) [i]✔
8Linear OA(9115, 752, F9, 41) (dual of [752, 637, 42]-code) [i]✔
9Linear OA(9109, 742, F9, 40) (dual of [742, 633, 41]-code) [i]✔
10Linear OA(9142, 789, F9, 45) (dual of [789, 647, 46]-code) [i]✔
11Linear OA(9144, 790, F9, 46) (dual of [790, 646, 47]-code) [i]✔
12Linear OA(9142, 785, F9, 46) (dual of [785, 643, 47]-code) [i]✔
13Linear OA(9141, 783, F9, 46) (dual of [783, 642, 47]-code) [i]✔
14Linear OA(9126, 766, F9, 43) (dual of [766, 640, 44]-code) [i]✔
15Linear OA(9114, 748, F9, 41) (dual of [748, 634, 42]-code) [i]✔
16Linear OA(9140, 784, F9, 45) (dual of [784, 644, 46]-code) [i]✔
17Linear OA(9140, 780, F9, 46) (dual of [780, 640, 47]-code) [i]✔
18Linear OA(9138, 778, F9, 45) (dual of [778, 640, 46]-code) [i]✔
19Linear OA(9139, 778, F9, 46) (dual of [778, 639, 47]-code) [i]✔
20Linear OA(9131, 769, F9, 44) (dual of [769, 638, 45]-code) [i]✔
21Linear OA(9124, 761, F9, 43) (dual of [761, 637, 44]-code) [i]✔
22Linear OA(9138, 774, F9, 46) (dual of [774, 636, 47]-code) [i]✔
23Linear OA(9130, 767, F9, 44) (dual of [767, 637, 45]-code) [i]✔
24Linear OA(9129, 764, F9, 44) (dual of [764, 635, 45]-code) [i]✔
25Linear OA(9123, 757, F9, 43) (dual of [757, 634, 44]-code) [i]✔
26Linear OA(9137, 775, F9, 45) (dual of [775, 638, 46]-code) [i]✔
27Linear OA(9137, 771, F9, 46) (dual of [771, 634, 47]-code) [i]✔
28Linear OA(9135, 769, F9, 45) (dual of [769, 634, 46]-code) [i]✔
29Linear OA(9136, 769, F9, 46) (dual of [769, 633, 47]-code) [i]✔
30Linear OA(9135, 770, F9, 45) (dual of [770, 635, 46]-code) [i]✔
31Linear OA(9103, 734, F9, 39) (dual of [734, 631, 40]-code) [i]✔
32Linear OA(9107, 738, F9, 40) (dual of [738, 631, 41]-code) [i]✔
33Linear OA(9112, 743, F9, 41) (dual of [743, 631, 42]-code) [i]✔
34Linear OA(9111, 741, F9, 41) (dual of [741, 630, 42]-code) [i]✔
35Linear OA(9116, 747, F9, 42) (dual of [747, 631, 43]-code) [i]✔
36Linear OA(9121, 752, F9, 43) (dual of [752, 631, 44]-code) [i]✔
37Linear OA(9125, 756, F9, 44) (dual of [756, 631, 45]-code) [i]✔
38Linear OA(9131, 762, F9, 45) (dual of [762, 631, 46]-code) [i]✔
39Linear OA(9130, 759, F9, 45) (dual of [759, 629, 46]-code) [i]✔
40Linear OA(9111, 742, F9, 41) (dual of [742, 631, 42]-code) [i]✔
41Linear OA(9115, 745, F9, 42) (dual of [745, 630, 43]-code) [i]✔
42Linear OA(9120, 751, F9, 43) (dual of [751, 631, 44]-code) [i]✔
43Linear OA(9124, 751, F9, 44) (dual of [751, 627, 45]-code) [i]✔
44Linear OA(9129, 760, F9, 45) (dual of [760, 631, 46]-code) [i]✔
45Linear OA(9142, 770, F9, 48) (dual of [770, 628, 49]-code) [i]✔
46Linear OA(9140, 765, F9, 48) (dual of [765, 625, 49]-code) [i]✔
47Linear OA(9139, 763, F9, 48) (dual of [763, 624, 49]-code) [i]✔
48Linear OA(9145, 770, F9, 49) (dual of [770, 625, 50]-code) [i]✔
49Linear OA(9149, 774, F9, 50) (dual of [774, 625, 51]-code) [i]✔