Information on Result #611608

Linear OA(321, 81, F3, 8) (dual of [81, 60, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3242, 59130, F3, 34) (dual of [59130, 58888, 35]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(326, 86, F3, 10) (dual of [86, 60, 11]-code) [i]✔
3Linear OA(321, 85, F3, 8) (dual of [85, 64, 9]-code) [i]✔
4Linear OA(330, 90, F3, 11) (dual of [90, 60, 12]-code) [i]✔
5Linear OA(324, 92, F3, 8) (dual of [92, 68, 9]-code) [i]✔
6Linear OA(337, 95, F3, 13) (dual of [95, 58, 14]-code) [i]✔
7Linear OA(338, 98, F3, 13) (dual of [98, 60, 14]-code) [i]✔
8Linear OA(336, 96, F3, 12) (dual of [96, 60, 13]-code) [i]✔
9Linear OA(343, 103, F3, 14) (dual of [103, 60, 15]-code) [i]✔
10Linear OA(342, 99, F3, 14) (dual of [99, 57, 15]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(335, 93, F3, 12) (dual of [93, 58, 13]-code) [i]✔
12Linear OA(336, 93, F3, 13) (dual of [93, 57, 14]-code) [i]✔
13Linear OA(334, 91, F3, 12) (dual of [91, 57, 13]-code) [i]✔
14Linear OA(337, 98, F3, 12) (dual of [98, 61, 13]-code) [i]✔
15Linear OA(329, 86, F3, 11) (dual of [86, 57, 12]-code) [i]✔
16Linear OA(331, 92, F3, 11) (dual of [92, 61, 12]-code) [i]✔
17Linear OA(327, 88, F3, 10) (dual of [88, 61, 11]-code) [i]✔
18Linear OA(323, 88, F3, 8) (dual of [88, 65, 9]-code) [i]✔
19Linear OA(324, 93, F3, 8) (dual of [93, 69, 9]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes