Information on Result #615816

Linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(9140, 59064, F9, 29) (dual of [59064, 58924, 30]-code) [i](u, u+v)-Construction
2Linear OA(9141, 59066, F9, 29) (dual of [59066, 58925, 30]-code) [i]
3Linear OA(9142, 59069, F9, 29) (dual of [59069, 58927, 30]-code) [i]
4Linear OA(9143, 59077, F9, 29) (dual of [59077, 58934, 30]-code) [i]
5Linear OA(9144, 59079, F9, 29) (dual of [59079, 58935, 30]-code) [i]
6Linear OA(9145, 59081, F9, 29) (dual of [59081, 58936, 30]-code) [i]
7Linear OA(9146, 59083, F9, 29) (dual of [59083, 58937, 30]-code) [i]
8Linear OA(9147, 59085, F9, 29) (dual of [59085, 58938, 30]-code) [i]
9Linear OA(9148, 59089, F9, 29) (dual of [59089, 58941, 30]-code) [i]
10Linear OA(9149, 59091, F9, 29) (dual of [59091, 58942, 30]-code) [i]
11Linear OA(9150, 59130, F9, 29) (dual of [59130, 58980, 30]-code) [i]
12Linear OA(9150, 59074, F9, 29) (dual of [59074, 58924, 30]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(9149, 59073, F9, 29) (dual of [59073, 58924, 30]-code) [i]
14Linear OOA(9126, 35720, F9, 2, 29) (dual of [(35720, 2), 71314, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
15Linear OOA(9126, 35720, F9, 3, 29) (dual of [(35720, 3), 107034, 30]-NRT-code) [i]
16Digital (97, 126, 35720)-net over F9 [i]
17Linear OA(9145, 59069, F9, 29) (dual of [59069, 58924, 30]-code) [i](u, u−v, u+v+w)-Construction
18Linear OA(9148, 59073, F9, 29) (dual of [59073, 58925, 30]-code) [i]
19Linear OA(9149, 59075, F9, 29) (dual of [59075, 58926, 30]-code) [i]
20Linear OA(9150, 59079, F9, 29) (dual of [59079, 58929, 30]-code) [i]
21Linear OA(9131, 59054, F9, 30) (dual of [59054, 58923, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
22Linear OA(9126, 59054, F9, 29) (dual of [59054, 58928, 30]-code) [i]✔
23Linear OA(9137, 59060, F9, 31) (dual of [59060, 58923, 32]-code) [i]✔
24Linear OA(9128, 59059, F9, 29) (dual of [59059, 58931, 30]-code) [i]✔
25Linear OA(9129, 59062, F9, 29) (dual of [59062, 58933, 30]-code) [i]✔
26Linear OA(9144, 59067, F9, 32) (dual of [59067, 58923, 33]-code) [i]✔
27Linear OA(9130, 59068, F9, 29) (dual of [59068, 58938, 30]-code) [i]✔
28Linear OA(9150, 59073, F9, 33) (dual of [59073, 58923, 34]-code) [i]✔
29Linear OA(9132, 59075, F9, 29) (dual of [59075, 58943, 30]-code) [i]✔
30Linear OA(9133, 59081, F9, 29) (dual of [59081, 58948, 30]-code) [i]✔
31Linear OA(9136, 59089, F9, 29) (dual of [59089, 58953, 30]-code) [i]✔
32Linear OA(9139, 59097, F9, 29) (dual of [59097, 58958, 30]-code) [i]✔
33Linear OA(9141, 59104, F9, 29) (dual of [59104, 58963, 30]-code) [i]✔
34Linear OA(9142, 59110, F9, 29) (dual of [59110, 58968, 30]-code) [i]✔
35Linear OA(9144, 59117, F9, 29) (dual of [59117, 58973, 30]-code) [i]✔
36Linear OA(9146, 59124, F9, 29) (dual of [59124, 58978, 30]-code) [i]✔
37Linear OA(9148, 59130, F9, 29) (dual of [59130, 58982, 30]-code) [i]✔
38Linear OA(9138, 59096, F9, 29) (dual of [59096, 58958, 30]-code) [i]✔
39Linear OA(9148, 59131, F9, 29) (dual of [59131, 58983, 30]-code) [i]✔
40Linear OA(9135, 59088, F9, 29) (dual of [59088, 58953, 30]-code) [i]✔
41Linear OA(9143, 59062, F9, 32) (dual of [59062, 58919, 33]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
42Linear OA(9138, 59062, F9, 31) (dual of [59062, 58924, 32]-code) [i]✔
43Linear OA(9131, 59070, F9, 29) (dual of [59070, 58939, 30]-code) [i]✔