Information on Result #615619

Linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16

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(979, 59059, F9, 16) (dual of [59059, 58980, 17]-code) [i](u, u+v)-Construction
2Linear OA(980, 59068, F9, 16) (dual of [59068, 58988, 17]-code) [i]
3Linear OA(982, 59077, F9, 16) (dual of [59077, 58995, 17]-code) [i]
4Linear OA(983, 59079, F9, 16) (dual of [59079, 58996, 17]-code) [i]
5Linear OA(984, 59081, F9, 16) (dual of [59081, 58997, 17]-code) [i]
6Linear OOA(971, 44617, F9, 2, 16) (dual of [(44617, 2), 89163, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
7Linear OOA(971, 44617, F9, 3, 16) (dual of [(44617, 3), 133780, 17]-NRT-code) [i]
8Digital (55, 71, 44617)-net over F9 [i]
9Linear OA(982, 59061, F9, 16) (dual of [59061, 58979, 17]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(983, 59063, F9, 16) (dual of [59063, 58980, 17]-code) [i]
11Linear OA(984, 59069, F9, 16) (dual of [59069, 58985, 17]-code) [i]
12Linear OA(976, 59054, F9, 17) (dual of [59054, 58978, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(971, 59054, F9, 16) (dual of [59054, 58983, 17]-code) [i]✔
14Linear OA(982, 59060, F9, 18) (dual of [59060, 58978, 19]-code) [i]✔
15Linear OA(983, 59059, F9, 19) (dual of [59059, 58976, 20]-code) [i]✔
16Linear OA(984, 59062, F9, 19) (dual of [59062, 58978, 20]-code) [i]✔
17Linear OA(972, 59060, F9, 16) (dual of [59060, 58988, 17]-code) [i]✔
18Linear OA(990, 59068, F9, 20) (dual of [59068, 58978, 21]-code) [i]✔
19Linear OA(974, 59067, F9, 16) (dual of [59067, 58993, 17]-code) [i]✔
20Linear OA(997, 59075, F9, 21) (dual of [59075, 58978, 22]-code) [i]✔
21Linear OA(975, 59073, F9, 16) (dual of [59073, 58998, 17]-code) [i]✔
22Linear OA(9103, 59081, F9, 22) (dual of [59081, 58978, 23]-code) [i]✔
23Linear OA(977, 59080, F9, 16) (dual of [59080, 59003, 17]-code) [i]✔
24Linear OA(9111, 59089, F9, 23) (dual of [59089, 58978, 24]-code) [i]✔
25Linear OA(978, 59086, F9, 16) (dual of [59086, 59008, 17]-code) [i]✔
26Linear OA(9119, 59097, F9, 24) (dual of [59097, 58978, 25]-code) [i]✔
27Linear OA(984, 59097, F9, 16) (dual of [59097, 59013, 17]-code) [i]✔
28Linear OA(9126, 59104, F9, 25) (dual of [59104, 58978, 26]-code) [i]✔
29Linear OA(9132, 59110, F9, 26) (dual of [59110, 58978, 27]-code) [i]✔
30Linear OA(9139, 59117, F9, 28) (dual of [59117, 58978, 29]-code) [i]✔
31Linear OA(9146, 59124, F9, 29) (dual of [59124, 58978, 30]-code) [i]✔
32Linear OA(9118, 59096, F9, 24) (dual of [59096, 58978, 25]-code) [i]✔
33Linear OA(983, 59096, F9, 16) (dual of [59096, 59013, 17]-code) [i]✔
34Linear OA(996, 59070, F9, 21) (dual of [59070, 58974, 22]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(991, 59070, F9, 20) (dual of [59070, 58979, 21]-code) [i]✔
36Linear OA(983, 59062, F9, 18) (dual of [59062, 58979, 19]-code) [i]✔
37Linear OA(973, 59062, F9, 16) (dual of [59062, 58989, 17]-code) [i]✔
38Linear OA(976, 59075, F9, 16) (dual of [59075, 58999, 17]-code) [i]✔
39Linear OA(972, 59066, F9, 15) (dual of [59066, 58994, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
40Linear OOA(971, 7381, F9, 16, 16) (dual of [(7381, 16), 118025, 17]-NRT-code) [i]OA Folding and Stacking