Information on Result #618842

Linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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(8128, 524288, F8, 22) (dual of [524288, 524160, 23]-code) [i]Trace Code
2Linear OA(6475, 262209, F64, 22) (dual of [262209, 262134, 23]-code) [i](u, u+v)-Construction
3Linear OA(6476, 262224, F64, 22) (dual of [262224, 262148, 23]-code) [i]
4Linear OA(6477, 262226, F64, 22) (dual of [262226, 262149, 23]-code) [i]
5Linear OA(6478, 262248, F64, 22) (dual of [262248, 262170, 23]-code) [i]
6Linear OA(6479, 262250, F64, 22) (dual of [262250, 262171, 23]-code) [i]
7Linear OA(6480, 262272, F64, 22) (dual of [262272, 262192, 23]-code) [i]
8Linear OA(6481, 262274, F64, 22) (dual of [262274, 262193, 23]-code) [i]
9Linear OA(6482, 262339, F64, 22) (dual of [262339, 262257, 23]-code) [i]
10Linear OA(6483, 262460, F64, 22) (dual of [262460, 262377, 23]-code) [i]
11Linear OA(6484, 262729, F64, 22) (dual of [262729, 262645, 23]-code) [i]
12Linear OA(6480, 262274, F64, 22) (dual of [262274, 262194, 23]-code) [i]
13Linear OA(6481, 262289, F64, 22) (dual of [262289, 262208, 23]-code) [i]
14Linear OA(6484, 262165, F64, 22) (dual of [262165, 262081, 23]-code) [i]Generalized (u, u+v)-Construction
15Linear OA(6483, 262164, F64, 22) (dual of [262164, 262081, 23]-code) [i]
16Linear OA(6481, 262162, F64, 22) (dual of [262162, 262081, 23]-code) [i]
17Linear OA(6483, 262165, F64, 22) (dual of [262165, 262082, 23]-code) [i]
18Linear OA(6484, 262168, F64, 22) (dual of [262168, 262084, 23]-code) [i]
19Linear OA(6479, 262160, F64, 22) (dual of [262160, 262081, 23]-code) [i](u, u−v, u+v+w)-Construction
20Linear OA(6480, 262162, F64, 22) (dual of [262162, 262082, 23]-code) [i]
21Linear OA(6481, 262164, F64, 22) (dual of [262164, 262083, 23]-code) [i]
22Linear OA(6482, 262274, F64, 22) (dual of [262274, 262192, 23]-code) [i]
23Linear OA(6483, 262289, F64, 22) (dual of [262289, 262206, 23]-code) [i]
24Linear OA(6484, 262304, F64, 22) (dual of [262304, 262220, 23]-code) [i]
25Linear OA(6467, 262147, F64, 23) (dual of [262147, 262080, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
26Linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code) [i]✔
27Linear OA(6471, 262151, F64, 24) (dual of [262151, 262080, 25]-code) [i]✔
28Linear OA(6465, 262151, F64, 22) (dual of [262151, 262086, 23]-code) [i]✔
29Linear OA(6475, 262155, F64, 25) (dual of [262155, 262080, 26]-code) [i]✔
30Linear OA(6466, 262155, F64, 22) (dual of [262155, 262089, 23]-code) [i]✔
31Linear OA(6479, 262159, F64, 26) (dual of [262159, 262080, 27]-code) [i]✔
32Linear OA(6467, 262159, F64, 22) (dual of [262159, 262092, 23]-code) [i]✔
33Linear OA(6483, 262163, F64, 27) (dual of [262163, 262080, 28]-code) [i]✔
34Linear OA(6468, 262163, F64, 22) (dual of [262163, 262095, 23]-code) [i]✔
35Linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code) [i]✔
36Linear OA(6469, 262167, F64, 22) (dual of [262167, 262098, 23]-code) [i]✔
37Linear OA(6491, 262171, F64, 29) (dual of [262171, 262080, 30]-code) [i]✔
38Linear OA(6470, 262171, F64, 22) (dual of [262171, 262101, 23]-code) [i]✔
39Linear OA(6471, 262175, F64, 22) (dual of [262175, 262104, 23]-code) [i]✔
40Linear OA(6472, 262179, F64, 22) (dual of [262179, 262107, 23]-code) [i]✔
41Linear OA(6473, 262183, F64, 22) (dual of [262183, 262110, 23]-code) [i]✔
42Linear OA(6474, 262187, F64, 22) (dual of [262187, 262113, 23]-code) [i]✔
43Linear OOA(6464, 23831, F64, 22, 22) (dual of [(23831, 22), 524218, 23]-NRT-code) [i]OA Folding and Stacking