Information on Result #619431

Linear OA(8169, 6562, F81, 35) (dual of [6562, 6493, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(9138, 13124, F9, 35) (dual of [13124, 12986, 36]-code) [i]Trace Code
2Linear OA(8174, 6567, F81, 37) (dual of [6567, 6493, 38]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(8170, 6567, F81, 35) (dual of [6567, 6497, 36]-code) [i]✔
4Linear OA(8180, 6573, F81, 39) (dual of [6573, 6493, 40]-code) [i]✔
5Linear OA(8172, 6573, F81, 35) (dual of [6573, 6501, 36]-code) [i]✔
6Linear OA(8174, 6579, F81, 35) (dual of [6579, 6505, 36]-code) [i]✔
7Linear OA(8176, 6585, F81, 35) (dual of [6585, 6509, 36]-code) [i]✔
8Linear OA(8178, 6591, F81, 35) (dual of [6591, 6513, 36]-code) [i]✔
9Linear OA(8180, 6597, F81, 35) (dual of [6597, 6517, 36]-code) [i]✔
10Linear OA(8182, 6603, F81, 35) (dual of [6603, 6521, 36]-code) [i]✔
11Linear OOA(8169, 3281, F81, 2, 35) (dual of [(3281, 2), 6493, 36]-NRT-code) [i]OOA Folding