Information on Result #619329

Linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(978, 13122, F9, 20) (dual of [13122, 13044, 21]-code) [i]Trace Code
2Linear OA(8149, 6643, F81, 20) (dual of [6643, 6594, 21]-code) [i](u, u+v)-Construction
3Linear OA(8150, 6661, F81, 20) (dual of [6661, 6611, 21]-code) [i]
4Linear OA(8151, 6677, F81, 20) (dual of [6677, 6626, 21]-code) [i]
5Linear OA(8152, 6679, F81, 20) (dual of [6679, 6627, 21]-code) [i]
6Linear OA(8153, 6711, F81, 20) (dual of [6711, 6658, 21]-code) [i]
7Linear OA(8154, 6725, F81, 20) (dual of [6725, 6671, 21]-code) [i]
8Linear OA(8156, 6889, F81, 20) (dual of [6889, 6833, 21]-code) [i]
9Linear OA(8155, 6743, F81, 20) (dual of [6743, 6688, 21]-code) [i]
10Linear OA(8156, 6579, F81, 20) (dual of [6579, 6523, 21]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(8152, 6575, F81, 20) (dual of [6575, 6523, 21]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(8153, 6577, F81, 20) (dual of [6577, 6524, 21]-code) [i]
13Linear OA(8154, 6579, F81, 20) (dual of [6579, 6525, 21]-code) [i]
14Linear OA(8155, 6725, F81, 20) (dual of [6725, 6670, 21]-code) [i]
15Linear OA(8156, 6743, F81, 20) (dual of [6743, 6687, 21]-code) [i]
16Linear OA(8141, 6563, F81, 21) (dual of [6563, 6522, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(8139, 6563, F81, 20) (dual of [6563, 6524, 21]-code) [i]✔
18Linear OA(8144, 6566, F81, 22) (dual of [6566, 6522, 23]-code) [i]✔
19Linear OA(8140, 6566, F81, 20) (dual of [6566, 6526, 21]-code) [i]✔
20Linear OA(8147, 6569, F81, 23) (dual of [6569, 6522, 24]-code) [i]✔
21Linear OA(8141, 6569, F81, 20) (dual of [6569, 6528, 21]-code) [i]✔
22Linear OA(8150, 6572, F81, 24) (dual of [6572, 6522, 25]-code) [i]✔
23Linear OA(8142, 6572, F81, 20) (dual of [6572, 6530, 21]-code) [i]✔
24Linear OA(8153, 6575, F81, 25) (dual of [6575, 6522, 26]-code) [i]✔
25Linear OA(8143, 6575, F81, 20) (dual of [6575, 6532, 21]-code) [i]✔
26Linear OA(8156, 6578, F81, 26) (dual of [6578, 6522, 27]-code) [i]✔
27Linear OA(8144, 6578, F81, 20) (dual of [6578, 6534, 21]-code) [i]✔
28Linear OA(8159, 6581, F81, 27) (dual of [6581, 6522, 28]-code) [i]✔
29Linear OA(8145, 6581, F81, 20) (dual of [6581, 6536, 21]-code) [i]✔
30Linear OA(8162, 6584, F81, 28) (dual of [6584, 6522, 29]-code) [i]✔
31Linear OA(8146, 6584, F81, 20) (dual of [6584, 6538, 21]-code) [i]✔
32Linear OA(8165, 6587, F81, 29) (dual of [6587, 6522, 30]-code) [i]✔
33Linear OA(8147, 6587, F81, 20) (dual of [6587, 6540, 21]-code) [i]✔
34Linear OA(8168, 6590, F81, 30) (dual of [6590, 6522, 31]-code) [i]✔
35Linear OA(8148, 6590, F81, 20) (dual of [6590, 6542, 21]-code) [i]✔
36Linear OA(8171, 6593, F81, 31) (dual of [6593, 6522, 32]-code) [i]✔
37Linear OA(8174, 6596, F81, 32) (dual of [6596, 6522, 33]-code) [i]✔
38Linear OA(8177, 6599, F81, 33) (dual of [6599, 6522, 34]-code) [i]✔
39Linear OA(8180, 6602, F81, 34) (dual of [6602, 6522, 35]-code) [i]✔
40Linear OOA(8139, 2187, F81, 3, 20) (dual of [(2187, 3), 6522, 21]-NRT-code) [i]OOA Folding
41Linear OOA(8139, 1640, F81, 4, 20) (dual of [(1640, 4), 6521, 21]-NRT-code) [i]
42Linear OOA(8139, 656, F81, 20, 20) (dual of [(656, 20), 13081, 21]-NRT-code) [i]OA Folding and Stacking