Information on Result #615745

Linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(9118, 59062, F9, 24) (dual of [59062, 58944, 25]-code) [i](u, u+v)-Construction
2Linear OA(9119, 59065, F9, 24) (dual of [59065, 58946, 25]-code) [i]
3Linear OA(9120, 59069, F9, 24) (dual of [59069, 58949, 25]-code) [i]
4Linear OA(9121, 59077, F9, 24) (dual of [59077, 58956, 25]-code) [i]
5Linear OA(9122, 59079, F9, 24) (dual of [59079, 58957, 25]-code) [i]
6Linear OA(9123, 59081, F9, 24) (dual of [59081, 58958, 25]-code) [i]
7Linear OA(9124, 59083, F9, 24) (dual of [59083, 58959, 25]-code) [i]
8Linear OA(9125, 59090, F9, 24) (dual of [59090, 58965, 25]-code) [i]
9Linear OA(9126, 59130, F9, 24) (dual of [59130, 59004, 25]-code) [i]
10Linear OA(9125, 59069, F9, 24) (dual of [59069, 58944, 25]-code) [i]Generalized (u, u+v)-Construction
11Linear OOA(9106, 40548, F9, 2, 24) (dual of [(40548, 2), 80990, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
12Linear OOA(9106, 40548, F9, 3, 24) (dual of [(40548, 3), 121538, 25]-NRT-code) [i]
13Digital (82, 106, 40548)-net over F9 [i]
14Linear OA(9123, 59067, F9, 24) (dual of [59067, 58944, 25]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(9124, 59069, F9, 24) (dual of [59069, 58945, 25]-code) [i]
16Linear OA(9126, 59072, F9, 24) (dual of [59072, 58946, 25]-code) [i]
17Linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
18Linear OA(9106, 59054, F9, 24) (dual of [59054, 58948, 25]-code) [i]✔
19Linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-code) [i]✔
20Linear OA(9107, 59060, F9, 24) (dual of [59060, 58953, 25]-code) [i]✔
21Linear OA(9125, 59068, F9, 28) (dual of [59068, 58943, 29]-code) [i]✔
22Linear OA(9109, 59067, F9, 24) (dual of [59067, 58958, 25]-code) [i]✔
23Linear OA(9132, 59075, F9, 29) (dual of [59075, 58943, 30]-code) [i]✔
24Linear OA(9110, 59073, F9, 24) (dual of [59073, 58963, 25]-code) [i]✔
25Linear OA(9138, 59081, F9, 30) (dual of [59081, 58943, 31]-code) [i]✔
26Linear OA(9112, 59080, F9, 24) (dual of [59080, 58968, 25]-code) [i]✔
27Linear OA(9146, 59089, F9, 31) (dual of [59089, 58943, 32]-code) [i]✔
28Linear OA(9116, 59089, F9, 24) (dual of [59089, 58973, 25]-code) [i]✔
29Linear OA(9119, 59097, F9, 24) (dual of [59097, 58978, 25]-code) [i]✔
30Linear OA(9121, 59104, F9, 24) (dual of [59104, 58983, 25]-code) [i]✔
31Linear OA(9122, 59110, F9, 24) (dual of [59110, 58988, 25]-code) [i]✔
32Linear OA(9123, 59116, F9, 24) (dual of [59116, 58993, 25]-code) [i]✔
33Linear OA(9124, 59122, F9, 24) (dual of [59122, 58998, 25]-code) [i]✔
34Linear OA(9118, 59096, F9, 24) (dual of [59096, 58978, 25]-code) [i]✔
35Linear OA(9131, 59070, F9, 29) (dual of [59070, 58939, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
36Linear OA(9126, 59070, F9, 28) (dual of [59070, 58944, 29]-code) [i]✔
37Linear OA(9118, 59062, F9, 26) (dual of [59062, 58944, 27]-code) [i]✔
38Linear OA(9108, 59062, F9, 24) (dual of [59062, 58954, 25]-code) [i]✔
39Linear OA(9111, 59075, F9, 24) (dual of [59075, 58964, 25]-code) [i]✔