Information on Result #618862

Linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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(8140, 524288, F8, 24) (dual of [524288, 524148, 25]-code) [i]Trace Code
2Linear OA(6482, 262209, F64, 24) (dual of [262209, 262127, 25]-code) [i](u, u+v)-Construction
3Linear OA(6483, 262224, F64, 24) (dual of [262224, 262141, 25]-code) [i]
4Linear OA(6484, 262226, F64, 24) (dual of [262226, 262142, 25]-code) [i]
5Linear OA(6485, 262248, F64, 24) (dual of [262248, 262163, 25]-code) [i]
6Linear OA(6486, 262250, F64, 24) (dual of [262250, 262164, 25]-code) [i]
7Linear OA(6487, 262272, F64, 24) (dual of [262272, 262185, 25]-code) [i]
8Linear OA(6488, 262274, F64, 24) (dual of [262274, 262186, 25]-code) [i]
9Linear OA(6489, 262321, F64, 24) (dual of [262321, 262232, 25]-code) [i]
10Linear OA(6490, 262339, F64, 24) (dual of [262339, 262249, 25]-code) [i]
11Linear OA(6491, 262460, F64, 24) (dual of [262460, 262369, 25]-code) [i]
12Linear OA(6489, 262164, F64, 24) (dual of [262164, 262075, 25]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(6487, 262162, F64, 24) (dual of [262162, 262075, 25]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(6488, 262164, F64, 24) (dual of [262164, 262076, 25]-code) [i]
15Linear OA(6489, 262166, F64, 24) (dual of [262166, 262077, 25]-code) [i]
16Linear OA(6490, 262274, F64, 24) (dual of [262274, 262184, 25]-code) [i]
17Linear OA(6491, 262289, F64, 24) (dual of [262289, 262198, 25]-code) [i]
18Linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
19Linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code) [i]✔
20Linear OA(6477, 262151, F64, 26) (dual of [262151, 262074, 27]-code) [i]✔
21Linear OA(6471, 262151, F64, 24) (dual of [262151, 262080, 25]-code) [i]✔
22Linear OA(6481, 262155, F64, 27) (dual of [262155, 262074, 28]-code) [i]✔
23Linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code) [i]✔
24Linear OA(6485, 262159, F64, 28) (dual of [262159, 262074, 29]-code) [i]✔
25Linear OA(6473, 262159, F64, 24) (dual of [262159, 262086, 25]-code) [i]✔
26Linear OA(6489, 262163, F64, 29) (dual of [262163, 262074, 30]-code) [i]✔
27Linear OA(6474, 262163, F64, 24) (dual of [262163, 262089, 25]-code) [i]✔
28Linear OA(6475, 262167, F64, 24) (dual of [262167, 262092, 25]-code) [i]✔
29Linear OA(6476, 262171, F64, 24) (dual of [262171, 262095, 25]-code) [i]✔
30Linear OA(6477, 262175, F64, 24) (dual of [262175, 262098, 25]-code) [i]✔
31Linear OA(6478, 262179, F64, 24) (dual of [262179, 262101, 25]-code) [i]✔
32Linear OA(6479, 262183, F64, 24) (dual of [262183, 262104, 25]-code) [i]✔
33Linear OA(6480, 262187, F64, 24) (dual of [262187, 262107, 25]-code) [i]✔
34Linear OA(6481, 262191, F64, 24) (dual of [262191, 262110, 25]-code) [i]✔
35Linear OOA(6470, 21845, F64, 24, 24) (dual of [(21845, 24), 524210, 25]-NRT-code) [i]OA Folding and Stacking