Information on Result #615607

Linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(973, 59059, F9, 15) (dual of [59059, 58986, 16]-code) [i](u, u+v)-Construction
2Linear OA(974, 59067, F9, 15) (dual of [59067, 58993, 16]-code) [i]
3Linear OA(975, 59069, F9, 15) (dual of [59069, 58994, 16]-code) [i]
4Linear OA(976, 59077, F9, 15) (dual of [59077, 59001, 16]-code) [i]
5Linear OA(977, 59079, F9, 15) (dual of [59079, 59002, 16]-code) [i]
6Linear OA(978, 59090, F9, 15) (dual of [59090, 59012, 16]-code) [i]
7Linear OA(977, 59061, F9, 15) (dual of [59061, 58984, 16]-code) [i]Generalized (u, u+v)-Construction
8Linear OOA(966, 41827, F9, 2, 15) (dual of [(41827, 2), 83588, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(966, 41827, F9, 3, 15) (dual of [(41827, 3), 125415, 16]-NRT-code) [i]
10Digital (51, 66, 41827)-net over F9 [i]
11Linear OA(978, 59069, F9, 15) (dual of [59069, 58991, 16]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(971, 59054, F9, 16) (dual of [59054, 58983, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(966, 59054, F9, 15) (dual of [59054, 58988, 16]-code) [i]✔
14Linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code) [i]✔
15Linear OA(967, 59060, F9, 15) (dual of [59060, 58993, 16]-code) [i]✔
16Linear OA(985, 59068, F9, 19) (dual of [59068, 58983, 20]-code) [i]✔
17Linear OA(969, 59067, F9, 15) (dual of [59067, 58998, 16]-code) [i]✔
18Linear OA(992, 59075, F9, 20) (dual of [59075, 58983, 21]-code) [i]✔
19Linear OA(970, 59073, F9, 15) (dual of [59073, 59003, 16]-code) [i]✔
20Linear OA(998, 59081, F9, 21) (dual of [59081, 58983, 22]-code) [i]✔
21Linear OA(972, 59080, F9, 15) (dual of [59080, 59008, 16]-code) [i]✔
22Linear OA(9106, 59089, F9, 22) (dual of [59089, 58983, 23]-code) [i]✔
23Linear OA(976, 59089, F9, 15) (dual of [59089, 59013, 16]-code) [i]✔
24Linear OA(9114, 59097, F9, 23) (dual of [59097, 58983, 24]-code) [i]✔
25Linear OA(9121, 59104, F9, 24) (dual of [59104, 58983, 25]-code) [i]✔
26Linear OA(9127, 59110, F9, 25) (dual of [59110, 58983, 26]-code) [i]✔
27Linear OA(9133, 59116, F9, 26) (dual of [59116, 58983, 27]-code) [i]✔
28Linear OA(9141, 59124, F9, 28) (dual of [59124, 58983, 29]-code) [i]✔
29Linear OA(9139, 59122, F9, 27) (dual of [59122, 58983, 28]-code) [i]✔
30Linear OA(9148, 59130, F9, 29) (dual of [59130, 58982, 30]-code) [i]✔
31Linear OA(9113, 59096, F9, 23) (dual of [59096, 58983, 24]-code) [i]✔
32Linear OA(9148, 59131, F9, 29) (dual of [59131, 58983, 30]-code) [i]✔
33Linear OA(991, 59070, F9, 20) (dual of [59070, 58979, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(983, 59062, F9, 18) (dual of [59062, 58979, 19]-code) [i]✔
35Linear OA(986, 59070, F9, 19) (dual of [59070, 58984, 20]-code) [i]✔
36Linear OA(978, 59062, F9, 17) (dual of [59062, 58984, 18]-code) [i]✔
37Linear OA(968, 59062, F9, 15) (dual of [59062, 58994, 16]-code) [i]✔
38Linear OA(971, 59075, F9, 15) (dual of [59075, 59004, 16]-code) [i]✔
39Linear OA(967, 59066, F9, 14) (dual of [59066, 58999, 15]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes