Information on Result #619358

Linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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(994, 13122, F9, 24) (dual of [13122, 13028, 25]-code) [i]Trace Code
2Linear OA(8159, 6643, F81, 24) (dual of [6643, 6584, 25]-code) [i](u, u+v)-Construction
3Linear OA(8160, 6661, F81, 24) (dual of [6661, 6601, 25]-code) [i]
4Linear OA(8161, 6677, F81, 24) (dual of [6677, 6616, 25]-code) [i]
5Linear OA(8162, 6679, F81, 24) (dual of [6679, 6617, 25]-code) [i]
6Linear OA(8163, 6711, F81, 24) (dual of [6711, 6648, 25]-code) [i]
7Linear OA(8164, 6721, F81, 24) (dual of [6721, 6657, 25]-code) [i]
8Linear OA(8165, 6724, F81, 24) (dual of [6724, 6659, 25]-code) [i]
9Linear OA(8166, 6733, F81, 24) (dual of [6733, 6667, 25]-code) [i]
10Linear OA(8167, 6735, F81, 24) (dual of [6735, 6668, 25]-code) [i]
11Linear OA(8168, 6971, F81, 24) (dual of [6971, 6903, 25]-code) [i]
12Linear OA(8165, 6725, F81, 24) (dual of [6725, 6660, 25]-code) [i]
13Linear OA(8166, 6743, F81, 24) (dual of [6743, 6677, 25]-code) [i]
14Linear OA(8167, 6761, F81, 24) (dual of [6761, 6694, 25]-code) [i]
15Linear OA(8166, 6581, F81, 24) (dual of [6581, 6515, 25]-code) [i]Generalized (u, u+v)-Construction
16Linear OA(8164, 6579, F81, 24) (dual of [6579, 6515, 25]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(8165, 6581, F81, 24) (dual of [6581, 6516, 25]-code) [i]
18Linear OA(8166, 6583, F81, 24) (dual of [6583, 6517, 25]-code) [i]
19Linear OA(8167, 6725, F81, 24) (dual of [6725, 6658, 25]-code) [i]
20Linear OA(8168, 6743, F81, 24) (dual of [6743, 6675, 25]-code) [i]
21Linear OA(8149, 6563, F81, 25) (dual of [6563, 6514, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
22Linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code) [i]✔
23Linear OA(8152, 6566, F81, 26) (dual of [6566, 6514, 27]-code) [i]✔
24Linear OA(8148, 6566, F81, 24) (dual of [6566, 6518, 25]-code) [i]✔
25Linear OA(8155, 6569, F81, 27) (dual of [6569, 6514, 28]-code) [i]✔
26Linear OA(8149, 6569, F81, 24) (dual of [6569, 6520, 25]-code) [i]✔
27Linear OA(8158, 6572, F81, 28) (dual of [6572, 6514, 29]-code) [i]✔
28Linear OA(8150, 6572, F81, 24) (dual of [6572, 6522, 25]-code) [i]✔
29Linear OA(8161, 6575, F81, 29) (dual of [6575, 6514, 30]-code) [i]✔
30Linear OA(8151, 6575, F81, 24) (dual of [6575, 6524, 25]-code) [i]✔
31Linear OA(8164, 6578, F81, 30) (dual of [6578, 6514, 31]-code) [i]✔
32Linear OA(8152, 6578, F81, 24) (dual of [6578, 6526, 25]-code) [i]✔
33Linear OA(8167, 6581, F81, 31) (dual of [6581, 6514, 32]-code) [i]✔
34Linear OA(8153, 6581, F81, 24) (dual of [6581, 6528, 25]-code) [i]✔
35Linear OA(8170, 6584, F81, 32) (dual of [6584, 6514, 33]-code) [i]✔
36Linear OA(8154, 6584, F81, 24) (dual of [6584, 6530, 25]-code) [i]✔
37Linear OA(8173, 6587, F81, 33) (dual of [6587, 6514, 34]-code) [i]✔
38Linear OA(8155, 6587, F81, 24) (dual of [6587, 6532, 25]-code) [i]✔
39Linear OA(8176, 6590, F81, 34) (dual of [6590, 6514, 35]-code) [i]✔
40Linear OA(8156, 6590, F81, 24) (dual of [6590, 6534, 25]-code) [i]✔
41Linear OA(8179, 6593, F81, 35) (dual of [6593, 6514, 36]-code) [i]✔
42Linear OA(8157, 6593, F81, 24) (dual of [6593, 6536, 25]-code) [i]✔
43Linear OA(8182, 6596, F81, 36) (dual of [6596, 6514, 37]-code) [i]✔
44Linear OA(8158, 6596, F81, 24) (dual of [6596, 6538, 25]-code) [i]✔
45Linear OOA(8147, 2187, F81, 3, 24) (dual of [(2187, 3), 6514, 25]-NRT-code) [i]OOA Folding
46Linear OOA(8147, 1640, F81, 4, 24) (dual of [(1640, 4), 6513, 25]-NRT-code) [i]
47Linear OOA(8147, 546, F81, 24, 24) (dual of [(546, 24), 13057, 25]-NRT-code) [i]OA Folding and Stacking