Information on Result #615717

Linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(9107, 59061, F9, 22) (dual of [59061, 58954, 23]-code) [i](u, u+v)-Construction
2Linear OA(9108, 59065, F9, 22) (dual of [59065, 58957, 23]-code) [i]
3Linear OA(9109, 59069, F9, 22) (dual of [59069, 58960, 23]-code) [i]
4Linear OA(9110, 59077, F9, 22) (dual of [59077, 58967, 23]-code) [i]
5Linear OA(9111, 59079, F9, 22) (dual of [59079, 58968, 23]-code) [i]
6Linear OA(9112, 59081, F9, 22) (dual of [59081, 58969, 23]-code) [i]
7Linear OA(9113, 59090, F9, 22) (dual of [59090, 58977, 23]-code) [i]
8Linear OA(9114, 59130, F9, 22) (dual of [59130, 59016, 23]-code) [i]
9Linear OA(9113, 59067, F9, 22) (dual of [59067, 58954, 23]-code) [i]Generalized (u, u+v)-Construction
10Linear OOA(996, 35378, F9, 2, 22) (dual of [(35378, 2), 70660, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
11Linear OOA(996, 35378, F9, 3, 22) (dual of [(35378, 3), 106038, 23]-NRT-code) [i]
12Digital (74, 96, 35378)-net over F9 [i]
13Linear OA(9111, 59065, F9, 22) (dual of [59065, 58954, 23]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(9112, 59067, F9, 22) (dual of [59067, 58955, 23]-code) [i]
15Linear OA(9113, 59069, F9, 22) (dual of [59069, 58956, 23]-code) [i]
16Linear OA(9114, 59071, F9, 22) (dual of [59071, 58957, 23]-code) [i]
17Linear OA(9101, 59054, F9, 23) (dual of [59054, 58953, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
18Linear OA(996, 59054, F9, 22) (dual of [59054, 58958, 23]-code) [i]✔
19Linear OA(9107, 59060, F9, 24) (dual of [59060, 58953, 25]-code) [i]✔
20Linear OA(997, 59060, F9, 22) (dual of [59060, 58963, 23]-code) [i]✔
21Linear OA(9114, 59067, F9, 25) (dual of [59067, 58953, 26]-code) [i]✔
22Linear OA(999, 59067, F9, 22) (dual of [59067, 58968, 23]-code) [i]✔
23Linear OA(9120, 59073, F9, 26) (dual of [59073, 58953, 27]-code) [i]✔
24Linear OA(9102, 59075, F9, 22) (dual of [59075, 58973, 23]-code) [i]✔
25Linear OA(9128, 59081, F9, 28) (dual of [59081, 58953, 29]-code) [i]✔
26Linear OA(9103, 59081, F9, 22) (dual of [59081, 58978, 23]-code) [i]✔
27Linear OA(9136, 59089, F9, 29) (dual of [59089, 58953, 30]-code) [i]✔
28Linear OA(9106, 59089, F9, 22) (dual of [59089, 58983, 23]-code) [i]✔
29Linear OA(9144, 59097, F9, 30) (dual of [59097, 58953, 31]-code) [i]✔
30Linear OA(9109, 59097, F9, 22) (dual of [59097, 58988, 23]-code) [i]✔
31Linear OA(9111, 59104, F9, 22) (dual of [59104, 58993, 23]-code) [i]✔
32Linear OA(9112, 59110, F9, 22) (dual of [59110, 58998, 23]-code) [i]✔
33Linear OA(9113, 59116, F9, 22) (dual of [59116, 59003, 23]-code) [i]✔
34Linear OA(9143, 59096, F9, 30) (dual of [59096, 58953, 31]-code) [i]✔
35Linear OA(9108, 59096, F9, 22) (dual of [59096, 58988, 23]-code) [i]✔
36Linear OA(9135, 59088, F9, 29) (dual of [59088, 58953, 30]-code) [i]✔
37Linear OA(9121, 59075, F9, 26) (dual of [59075, 58954, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
38Linear OA(9108, 59062, F9, 24) (dual of [59062, 58954, 25]-code) [i]✔
39Linear OA(998, 59062, F9, 22) (dual of [59062, 58964, 23]-code) [i]✔
40Linear OA(9101, 59070, F9, 22) (dual of [59070, 58969, 23]-code) [i]✔
41Linear OOA(996, 5368, F9, 22, 22) (dual of [(5368, 22), 118000, 23]-NRT-code) [i]OA Folding and Stacking