Information on Result #611697

Linear OA(331, 81, F3, 13) (dual of [81, 50, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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(337, 88, F3, 13) (dual of [88, 51, 14]-code) [i](u, u+v)-Construction
2Linear OA(339, 104, F3, 13) (dual of [104, 65, 14]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(3242, 809, F3, 54) (dual of [809, 567, 55]-code) [i]Construction X with Cyclic Codes
4Linear OA(3248, 810, F3, 57) (dual of [810, 562, 58]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(335, 85, F3, 14) (dual of [85, 50, 15]-code) [i]✔
6Linear OA(332, 86, F3, 13) (dual of [86, 54, 14]-code) [i]✔
7Linear OA(340, 90, F3, 15) (dual of [90, 50, 16]-code) [i]✔
8Linear OA(342, 92, F3, 16) (dual of [92, 50, 17]-code) [i]✔
9Linear OA(332, 88, F3, 12) (dual of [88, 56, 13]-code) [i]✔
10Linear OA(334, 90, F3, 13) (dual of [90, 56, 14]-code) [i]✔
11Linear OA(337, 95, F3, 13) (dual of [95, 58, 14]-code) [i]✔
12Linear OA(338, 98, F3, 13) (dual of [98, 60, 14]-code) [i]✔
13Linear OA(336, 96, F3, 12) (dual of [96, 60, 13]-code) [i]✔
14Linear OA(339, 103, F3, 13) (dual of [103, 64, 14]-code) [i]✔
15Linear OA(341, 88, F3, 16) (dual of [88, 47, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(345, 97, F3, 16) (dual of [97, 52, 17]-code) [i]✔
17Linear OA(344, 95, F3, 16) (dual of [95, 51, 17]-code) [i]✔
18Linear OA(342, 93, F3, 15) (dual of [93, 51, 16]-code) [i]✔
19Linear OA(337, 88, F3, 14) (dual of [88, 51, 15]-code) [i]✔
20Linear OA(333, 88, F3, 13) (dual of [88, 55, 14]-code) [i]✔
21Linear OA(335, 93, F3, 12) (dual of [93, 58, 13]-code) [i]✔
22Linear OA(336, 93, F3, 13) (dual of [93, 57, 14]-code) [i]✔
23Linear OA(334, 91, F3, 12) (dual of [91, 57, 13]-code) [i]✔
24Linear OA(337, 98, F3, 12) (dual of [98, 61, 13]-code) [i]✔
25Linear OOA(331, 27, F3, 3, 13) (dual of [(27, 3), 50, 14]-NRT-code) [i]OOA Folding