Information on Result #619420

Linear OA(8165, 6562, F81, 33) (dual of [6562, 6497, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(9130, 13124, F9, 33) (dual of [13124, 12994, 34]-code) [i]Trace Code
2Linear OA(8181, 6644, F81, 33) (dual of [6644, 6563, 34]-code) [i](u, u+v)-Construction
3Linear OA(8182, 6662, F81, 33) (dual of [6662, 6580, 34]-code) [i]
4Linear OA(8181, 6579, F81, 33) (dual of [6579, 6498, 34]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(8170, 6567, F81, 35) (dual of [6567, 6497, 36]-code) [i]✔
6Linear OA(8166, 6567, F81, 33) (dual of [6567, 6501, 34]-code) [i]✔
7Linear OA(8176, 6573, F81, 37) (dual of [6573, 6497, 38]-code) [i]✔
8Linear OA(8168, 6573, F81, 33) (dual of [6573, 6505, 34]-code) [i]✔
9Linear OA(8182, 6579, F81, 39) (dual of [6579, 6497, 40]-code) [i]✔
10Linear OA(8170, 6579, F81, 33) (dual of [6579, 6509, 34]-code) [i]✔
11Linear OA(8172, 6585, F81, 33) (dual of [6585, 6513, 34]-code) [i]✔
12Linear OA(8174, 6591, F81, 33) (dual of [6591, 6517, 34]-code) [i]✔
13Linear OA(8176, 6597, F81, 33) (dual of [6597, 6521, 34]-code) [i]✔
14Linear OA(8178, 6603, F81, 33) (dual of [6603, 6525, 34]-code) [i]✔
15Linear OA(8180, 6609, F81, 33) (dual of [6609, 6529, 34]-code) [i]✔
16Linear OOA(8165, 3281, F81, 2, 33) (dual of [(3281, 2), 6497, 34]-NRT-code) [i]OOA Folding