Information on Result #615591

Linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(968, 59059, F9, 14) (dual of [59059, 58991, 15]-code) [i](u, u+v)-Construction
2Linear OA(969, 59067, F9, 14) (dual of [59067, 58998, 15]-code) [i]
3Linear OA(970, 59069, F9, 14) (dual of [59069, 58999, 15]-code) [i]
4Linear OA(971, 59077, F9, 14) (dual of [59077, 59006, 15]-code) [i]
5Linear OA(972, 59079, F9, 14) (dual of [59079, 59007, 15]-code) [i]
6Linear OA(972, 59061, F9, 14) (dual of [59061, 58989, 15]-code) [i]Generalized (u, u+v)-Construction
7Linear OOA(961, 39031, F9, 2, 14) (dual of [(39031, 2), 78001, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(961, 39031, F9, 3, 14) (dual of [(39031, 3), 117032, 15]-NRT-code) [i]
9Digital (47, 61, 39031)-net over F9 [i]
10Linear OA(970, 59059, F9, 14) (dual of [59059, 58989, 15]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(971, 59061, F9, 14) (dual of [59061, 58990, 15]-code) [i]
12Linear OA(972, 59069, F9, 14) (dual of [59069, 58997, 15]-code) [i]
13Linear OA(966, 59054, F9, 15) (dual of [59054, 58988, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
14Linear OA(961, 59054, F9, 14) (dual of [59054, 58993, 15]-code) [i]✔
15Linear OA(972, 59060, F9, 16) (dual of [59060, 58988, 17]-code) [i]✔
16Linear OA(962, 59060, F9, 14) (dual of [59060, 58998, 15]-code) [i]✔
17Linear OA(979, 59067, F9, 17) (dual of [59067, 58988, 18]-code) [i]✔
18Linear OA(964, 59067, F9, 14) (dual of [59067, 59003, 15]-code) [i]✔
19Linear OA(987, 59075, F9, 19) (dual of [59075, 58988, 20]-code) [i]✔
20Linear OA(985, 59073, F9, 18) (dual of [59073, 58988, 19]-code) [i]✔
21Linear OA(965, 59073, F9, 14) (dual of [59073, 59008, 15]-code) [i]✔
22Linear OA(993, 59081, F9, 20) (dual of [59081, 58988, 21]-code) [i]✔
23Linear OA(968, 59081, F9, 14) (dual of [59081, 59013, 15]-code) [i]✔
24Linear OA(9101, 59089, F9, 21) (dual of [59089, 58988, 22]-code) [i]✔
25Linear OA(971, 59089, F9, 14) (dual of [59089, 59018, 15]-code) [i]✔
26Linear OA(9109, 59097, F9, 22) (dual of [59097, 58988, 23]-code) [i]✔
27Linear OA(9116, 59104, F9, 23) (dual of [59104, 58988, 24]-code) [i]✔
28Linear OA(9122, 59110, F9, 24) (dual of [59110, 58988, 25]-code) [i]✔
29Linear OA(9128, 59116, F9, 25) (dual of [59116, 58988, 26]-code) [i]✔
30Linear OA(9134, 59122, F9, 26) (dual of [59122, 58988, 27]-code) [i]✔
31Linear OA(9143, 59130, F9, 28) (dual of [59130, 58987, 29]-code) [i]✔
32Linear OA(9141, 59129, F9, 27) (dual of [59129, 58988, 28]-code) [i]✔
33Linear OA(9108, 59096, F9, 22) (dual of [59096, 58988, 23]-code) [i]✔
34Linear OA(9143, 59131, F9, 28) (dual of [59131, 58988, 29]-code) [i]✔
35Linear OA(986, 59070, F9, 19) (dual of [59070, 58984, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
36Linear OA(986, 59075, F9, 18) (dual of [59075, 58989, 19]-code) [i]✔
37Linear OA(978, 59062, F9, 17) (dual of [59062, 58984, 18]-code) [i]✔
38Linear OA(973, 59062, F9, 16) (dual of [59062, 58989, 17]-code) [i]✔
39Linear OA(963, 59062, F9, 14) (dual of [59062, 58999, 15]-code) [i]✔
40Linear OA(967, 59076, F9, 14) (dual of [59076, 59009, 15]-code) [i]✔
41Linear OA(977, 59066, F9, 16) (dual of [59066, 58989, 17]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
42Linear OA(962, 59066, F9, 13) (dual of [59066, 59004, 14]-code) [i]✔