Information on Result #615685

Linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(996, 59060, F9, 20) (dual of [59060, 58964, 21]-code) [i](u, u+v)-Construction
2Linear OA(997, 59065, F9, 20) (dual of [59065, 58968, 21]-code) [i]
3Linear OA(998, 59069, F9, 20) (dual of [59069, 58971, 21]-code) [i]
4Linear OA(999, 59077, F9, 20) (dual of [59077, 58978, 21]-code) [i]
5Linear OA(9100, 59079, F9, 20) (dual of [59079, 58979, 21]-code) [i]
6Linear OA(9101, 59081, F9, 20) (dual of [59081, 58980, 21]-code) [i]
7Linear OA(9102, 59090, F9, 20) (dual of [59090, 58988, 21]-code) [i]
8Linear OOA(986, 30272, F9, 2, 20) (dual of [(30272, 2), 60458, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(986, 30272, F9, 3, 20) (dual of [(30272, 3), 90730, 21]-NRT-code) [i]
10Digital (66, 86, 30272)-net over F9 [i]
11Linear OA(999, 59063, F9, 20) (dual of [59063, 58964, 21]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(9100, 59065, F9, 20) (dual of [59065, 58965, 21]-code) [i]
13Linear OA(9101, 59067, F9, 20) (dual of [59067, 58966, 21]-code) [i]
14Linear OA(9102, 59070, F9, 20) (dual of [59070, 58968, 21]-code) [i]
15Linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(986, 59054, F9, 20) (dual of [59054, 58968, 21]-code) [i]✔
17Linear OA(997, 59060, F9, 22) (dual of [59060, 58963, 23]-code) [i]✔
18Linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code) [i]✔
19Linear OA(989, 59062, F9, 20) (dual of [59062, 58973, 21]-code) [i]✔
20Linear OA(9104, 59067, F9, 23) (dual of [59067, 58963, 24]-code) [i]✔
21Linear OA(990, 59068, F9, 20) (dual of [59068, 58978, 21]-code) [i]✔
22Linear OA(9110, 59073, F9, 24) (dual of [59073, 58963, 25]-code) [i]✔
23Linear OA(992, 59075, F9, 20) (dual of [59075, 58983, 21]-code) [i]✔
24Linear OA(9117, 59080, F9, 25) (dual of [59080, 58963, 26]-code) [i]✔
25Linear OA(993, 59081, F9, 20) (dual of [59081, 58988, 21]-code) [i]✔
26Linear OA(9123, 59086, F9, 26) (dual of [59086, 58963, 27]-code) [i]✔
27Linear OA(996, 59089, F9, 20) (dual of [59089, 58993, 21]-code) [i]✔
28Linear OA(9134, 59097, F9, 28) (dual of [59097, 58963, 29]-code) [i]✔
29Linear OA(9132, 59095, F9, 27) (dual of [59095, 58963, 28]-code) [i]✔
30Linear OA(999, 59097, F9, 20) (dual of [59097, 58998, 21]-code) [i]✔
31Linear OA(9141, 59104, F9, 29) (dual of [59104, 58963, 30]-code) [i]✔
32Linear OA(9101, 59104, F9, 20) (dual of [59104, 59003, 21]-code) [i]✔
33Linear OA(9147, 59110, F9, 30) (dual of [59110, 58963, 31]-code) [i]✔
34Linear OA(9102, 59110, F9, 20) (dual of [59110, 59008, 21]-code) [i]✔
35Linear OA(9133, 59096, F9, 28) (dual of [59096, 58963, 29]-code) [i]✔
36Linear OA(9131, 59091, F9, 27) (dual of [59091, 58960, 28]-code) [i]✔
37Linear OA(998, 59096, F9, 20) (dual of [59096, 58998, 21]-code) [i]✔
38Linear OA(9131, 59094, F9, 27) (dual of [59094, 58963, 28]-code) [i]✔
39Linear OA(995, 59088, F9, 20) (dual of [59088, 58993, 21]-code) [i]✔
40Linear OA(9111, 59075, F9, 24) (dual of [59075, 58964, 25]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
41Linear OA(998, 59062, F9, 22) (dual of [59062, 58964, 23]-code) [i]✔
42Linear OA(991, 59070, F9, 20) (dual of [59070, 58979, 21]-code) [i]✔