Information on Result #615633

Linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(984, 59059, F9, 17) (dual of [59059, 58975, 18]-code) [i](u, u+v)-Construction
2Linear OA(985, 59068, F9, 17) (dual of [59068, 58983, 18]-code) [i]
3Linear OA(987, 59077, F9, 17) (dual of [59077, 58990, 18]-code) [i]
4Linear OA(988, 59079, F9, 17) (dual of [59079, 58991, 18]-code) [i]
5Linear OA(989, 59081, F9, 17) (dual of [59081, 58992, 18]-code) [i]
6Linear OA(990, 59090, F9, 17) (dual of [59090, 59000, 18]-code) [i]
7Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]Generalized (u, u+v)-Construction
8Linear OOA(976, 47404, F9, 2, 17) (dual of [(47404, 2), 94732, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(976, 47404, F9, 3, 17) (dual of [(47404, 3), 142136, 18]-NRT-code) [i]
10Digital (59, 76, 47404)-net over F9 [i]
11Linear OA(987, 59061, F9, 17) (dual of [59061, 58974, 18]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(988, 59063, F9, 17) (dual of [59063, 58975, 18]-code) [i]
13Linear OA(989, 59069, F9, 17) (dual of [59069, 58980, 18]-code) [i]
14Linear OA(990, 59078, F9, 17) (dual of [59078, 58988, 18]-code) [i]
15Linear OA(982, 59055, F9, 19) (dual of [59055, 58973, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(976, 59054, F9, 17) (dual of [59054, 58978, 18]-code) [i]✔
17Linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code) [i]✔
18Linear OA(989, 59062, F9, 20) (dual of [59062, 58973, 21]-code) [i]✔
19Linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code) [i]✔
20Linear OA(995, 59068, F9, 21) (dual of [59068, 58973, 22]-code) [i]✔
21Linear OA(979, 59067, F9, 17) (dual of [59067, 58988, 18]-code) [i]✔
22Linear OA(9102, 59075, F9, 22) (dual of [59075, 58973, 23]-code) [i]✔
23Linear OA(980, 59073, F9, 17) (dual of [59073, 58993, 18]-code) [i]✔
24Linear OA(9108, 59081, F9, 23) (dual of [59081, 58973, 24]-code) [i]✔
25Linear OA(982, 59080, F9, 17) (dual of [59080, 58998, 18]-code) [i]✔
26Linear OA(9116, 59089, F9, 24) (dual of [59089, 58973, 25]-code) [i]✔
27Linear OA(983, 59086, F9, 17) (dual of [59086, 59003, 18]-code) [i]✔
28Linear OA(9124, 59097, F9, 25) (dual of [59097, 58973, 26]-code) [i]✔
29Linear OA(986, 59090, F9, 17) (dual of [59090, 59004, 18]-code) [i]✔
30Linear OA(987, 59095, F9, 17) (dual of [59095, 59008, 18]-code) [i]✔
31Linear OA(9131, 59104, F9, 26) (dual of [59104, 58973, 27]-code) [i]✔
32Linear OA(9138, 59111, F9, 28) (dual of [59111, 58973, 29]-code) [i]✔
33Linear OA(9144, 59117, F9, 29) (dual of [59117, 58973, 30]-code) [i]✔
34Linear OA(9123, 59096, F9, 25) (dual of [59096, 58973, 26]-code) [i]✔
35Linear OA(986, 59091, F9, 17) (dual of [59091, 59005, 18]-code) [i]✔
36Linear OA(986, 59094, F9, 17) (dual of [59094, 59008, 18]-code) [i]✔
37Linear OA(9101, 59070, F9, 22) (dual of [59070, 58969, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
38Linear OA(996, 59070, F9, 21) (dual of [59070, 58974, 22]-code) [i]✔
39Linear OA(978, 59062, F9, 17) (dual of [59062, 58984, 18]-code) [i]✔
40Linear OA(981, 59075, F9, 17) (dual of [59075, 58994, 18]-code) [i]✔
41Linear OA(977, 59066, F9, 16) (dual of [59066, 58989, 17]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
42Linear OOA(976, 7381, F9, 17, 17) (dual of [(7381, 17), 125401, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row