Information on Result #690147

Linear OA(949, 729, F9, 19) (dual of [729, 680, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(952, 732, F9, 20) (dual of [732, 680, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(950, 733, F9, 19) (dual of [733, 683, 20]-code) [i]✔
3Linear OA(951, 737, F9, 19) (dual of [737, 686, 20]-code) [i]✔
4Linear OA(960, 739, F9, 22) (dual of [739, 679, 23]-code) [i]✔
5Linear OA(961, 741, F9, 22) (dual of [741, 680, 23]-code) [i]✔
6Linear OA(953, 742, F9, 19) (dual of [742, 689, 20]-code) [i]✔
7Linear OA(951, 739, F9, 18) (dual of [739, 688, 19]-code) [i]✔
8Linear OA(954, 745, F9, 19) (dual of [745, 691, 20]-code) [i]✔
9Linear OA(955, 747, F9, 19) (dual of [747, 692, 20]-code) [i]✔
10Linear OA(953, 745, F9, 18) (dual of [745, 692, 19]-code) [i]✔
11Linear OA(970, 750, F9, 24) (dual of [750, 680, 25]-code) [i]✔
12Linear OA(956, 751, F9, 19) (dual of [751, 695, 20]-code) [i]✔
13Linear OA(958, 756, F9, 19) (dual of [756, 698, 20]-code) [i]✔
14Linear OA(956, 754, F9, 18) (dual of [754, 698, 19]-code) [i]✔
15Linear OA(979, 757, F9, 26) (dual of [757, 678, 27]-code) [i]✔
16Linear OA(980, 760, F9, 26) (dual of [760, 680, 27]-code) [i]✔
17Linear OA(961, 762, F9, 19) (dual of [762, 701, 20]-code) [i]✔
18Linear OA(959, 760, F9, 18) (dual of [760, 701, 19]-code) [i]✔
19Linear OA(987, 767, F9, 28) (dual of [767, 680, 29]-code) [i]✔
20Linear OA(963, 767, F9, 19) (dual of [767, 704, 20]-code) [i]✔
21Linear OA(961, 765, F9, 18) (dual of [765, 704, 19]-code) [i]✔
22Linear OA(991, 769, F9, 29) (dual of [769, 678, 30]-code) [i]✔
23Linear OA(992, 772, F9, 29) (dual of [772, 680, 30]-code) [i]✔
24Linear OA(996, 776, F9, 30) (dual of [776, 680, 31]-code) [i]✔
25Linear OA(9100, 780, F9, 31) (dual of [780, 680, 32]-code) [i]✔
26Linear OA(9105, 785, F9, 32) (dual of [785, 680, 33]-code) [i]✔
27Linear OA(986, 764, F9, 28) (dual of [764, 678, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(979, 758, F9, 26) (dual of [758, 679, 27]-code) [i]✔
29Linear OA(978, 756, F9, 26) (dual of [756, 678, 27]-code) [i]✔
30Linear OA(983, 765, F9, 26) (dual of [765, 682, 27]-code) [i]✔
31Linear OA(982, 763, F9, 26) (dual of [763, 681, 27]-code) [i]✔
32Linear OA(978, 761, F9, 25) (dual of [761, 683, 26]-code) [i]✔
33Linear OA(977, 759, F9, 25) (dual of [759, 682, 26]-code) [i]✔
34Linear OA(969, 747, F9, 24) (dual of [747, 678, 25]-code) [i]✔
35Linear OA(972, 753, F9, 24) (dual of [753, 681, 25]-code) [i]✔
36Linear OA(954, 747, F9, 18) (dual of [747, 693, 19]-code) [i]✔
37Linear OA(957, 753, F9, 19) (dual of [753, 696, 20]-code) [i]✔
38Linear OA(958, 758, F9, 18) (dual of [758, 700, 19]-code) [i]✔
39Linear OA(957, 756, F9, 18) (dual of [756, 699, 19]-code) [i]✔
40Linear OA(962, 764, F9, 19) (dual of [764, 702, 20]-code) [i]✔
41Linear OA(960, 762, F9, 18) (dual of [762, 702, 19]-code) [i]✔
42Linear OOA(949, 243, F9, 3, 19) (dual of [(243, 3), 680, 20]-NRT-code) [i]OOA Folding