Information on Result #611672

Linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(332, 87, F3, 11) (dual of [87, 55, 12]-code) [i](u, u+v)-Construction
2Linear OA(333, 93, F3, 11) (dual of [93, 60, 12]-code) [i]
3Linear OA(334, 95, F3, 11) (dual of [95, 61, 12]-code) [i]
4Linear OA(332, 86, F3, 13) (dual of [86, 54, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(327, 83, F3, 11) (dual of [83, 56, 12]-code) [i]✔
6Linear OA(338, 92, F3, 14) (dual of [92, 54, 15]-code) [i]✔
7Linear OA(330, 90, F3, 11) (dual of [90, 60, 12]-code) [i]✔
8Linear OA(332, 96, F3, 11) (dual of [96, 64, 12]-code) [i]✔
9Linear OA(345, 97, F3, 16) (dual of [97, 52, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
10Linear OA(344, 95, F3, 16) (dual of [95, 51, 17]-code) [i]✔
11Linear OA(342, 93, F3, 15) (dual of [93, 51, 16]-code) [i]✔
12Linear OA(337, 88, F3, 14) (dual of [88, 51, 15]-code) [i]✔
13Linear OA(339, 94, F3, 14) (dual of [94, 55, 15]-code) [i]✔
14Linear OA(333, 88, F3, 13) (dual of [88, 55, 14]-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(334, 99, F3, 11) (dual of [99, 65, 12]-code) [i]✔
18Linear OOA(327, 27, F3, 3, 11) (dual of [(27, 3), 54, 12]-NRT-code) [i]OOA Folding