Information on Result #619384

Linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)

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(9106, 13124, F9, 27) (dual of [13124, 13018, 28]-code) [i]Trace Code
2Linear OA(8166, 6644, F81, 27) (dual of [6644, 6578, 28]-code) [i](u, u+v)-Construction
3Linear OA(8167, 6662, F81, 27) (dual of [6662, 6595, 28]-code) [i]
4Linear OA(8168, 6678, F81, 27) (dual of [6678, 6610, 28]-code) [i]
5Linear OA(8169, 6680, F81, 27) (dual of [6680, 6611, 28]-code) [i]
6Linear OA(8170, 6712, F81, 27) (dual of [6712, 6642, 28]-code) [i]
7Linear OA(8171, 6722, F81, 27) (dual of [6722, 6651, 28]-code) [i]
8Linear OA(8172, 6726, F81, 27) (dual of [6726, 6654, 28]-code) [i]
9Linear OA(8173, 6734, F81, 27) (dual of [6734, 6661, 28]-code) [i]
10Linear OA(8174, 6736, F81, 27) (dual of [6736, 6662, 28]-code) [i]
11Linear OA(8175, 6738, F81, 27) (dual of [6738, 6663, 28]-code) [i]
12Linear OA(8176, 6972, F81, 27) (dual of [6972, 6896, 28]-code) [i]
13Linear OA(8178, 13124, F81, 27) (dual of [13124, 13046, 28]-code) [i]
14Linear OA(8173, 6744, F81, 27) (dual of [6744, 6671, 28]-code) [i]
15Linear OA(8174, 6762, F81, 27) (dual of [6762, 6688, 28]-code) [i]
16Linear OA(8175, 6778, F81, 27) (dual of [6778, 6703, 28]-code) [i]
17Linear OA(8175, 6586, F81, 27) (dual of [6586, 6511, 28]-code) [i]Generalized (u, u+v)-Construction
18Linear OA(8177, 6589, F81, 27) (dual of [6589, 6512, 28]-code) [i]
19Linear OA(8173, 6584, F81, 27) (dual of [6584, 6511, 28]-code) [i](u, u−v, u+v+w)-Construction
20Linear OA(8174, 6586, F81, 27) (dual of [6586, 6512, 28]-code) [i]
21Linear OA(8175, 6726, F81, 27) (dual of [6726, 6651, 28]-code) [i]
22Linear OA(8176, 6744, F81, 27) (dual of [6744, 6668, 28]-code) [i]
23Linear OA(8177, 6762, F81, 27) (dual of [6762, 6685, 28]-code) [i]
24Linear OA(8166, 6576, F81, 27) (dual of [6576, 6510, 28]-code) [i]✔Construction X with Cyclic Codes
25Linear OA(8158, 6567, F81, 29) (dual of [6567, 6509, 30]-code) [i]✔
26Linear OA(8154, 6567, F81, 27) (dual of [6567, 6513, 28]-code) [i]✔
27Linear OA(8164, 6573, F81, 31) (dual of [6573, 6509, 32]-code) [i]✔
28Linear OA(8156, 6573, F81, 27) (dual of [6573, 6517, 28]-code) [i]✔
29Linear OA(8170, 6579, F81, 33) (dual of [6579, 6509, 34]-code) [i]✔
30Linear OA(8158, 6579, F81, 27) (dual of [6579, 6521, 28]-code) [i]✔
31Linear OA(8176, 6585, F81, 35) (dual of [6585, 6509, 36]-code) [i]✔
32Linear OA(8160, 6585, F81, 27) (dual of [6585, 6525, 28]-code) [i]✔
33Linear OA(8182, 6591, F81, 37) (dual of [6591, 6509, 38]-code) [i]✔
34Linear OA(8162, 6591, F81, 27) (dual of [6591, 6529, 28]-code) [i]✔
35Linear OA(8164, 6597, F81, 27) (dual of [6597, 6533, 28]-code) [i]✔
36Linear OOA(8153, 3281, F81, 2, 27) (dual of [(3281, 2), 6509, 28]-NRT-code) [i]OOA Folding