Information on Result #611676

Linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(362, 6567, F3, 11) (dual of [6567, 6505, 12]-code) [i](u, u+v)-Construction
2Linear OA(366, 6570, F3, 13) (dual of [6570, 6504, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(357, 6569, F3, 11) (dual of [6569, 6512, 12]-code) [i]✔
4Linear OA(376, 6574, F3, 14) (dual of [6574, 6498, 15]-code) [i]✔
5Linear OA(377, 6581, F3, 14) (dual of [6581, 6504, 15]-code) [i]✔
6Linear OA(360, 6574, F3, 11) (dual of [6574, 6514, 12]-code) [i]✔
7Linear OA(361, 6581, F3, 11) (dual of [6581, 6520, 12]-code) [i]✔
8Linear OA(388, 6588, F3, 16) (dual of [6588, 6500, 17]-code) [i]✔
9Linear OA(389, 6593, F3, 16) (dual of [6593, 6504, 17]-code) [i]✔
10Linear OA(387, 6591, F3, 15) (dual of [6591, 6504, 16]-code) [i]✔
11Linear OA(398, 6596, F3, 17) (dual of [6596, 6498, 18]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(397, 6594, F3, 17) (dual of [6594, 6497, 18]-code) [i]✔
13Linear OA(386, 6585, F3, 15) (dual of [6585, 6499, 16]-code) [i]✔
14Linear OA(387, 6584, F3, 16) (dual of [6584, 6497, 17]-code) [i]✔
15Linear OA(388, 6593, F3, 15) (dual of [6593, 6505, 16]-code) [i]✔
16Linear OA(375, 6572, F3, 14) (dual of [6572, 6497, 15]-code) [i]✔
17Linear OA(378, 6583, F3, 14) (dual of [6583, 6505, 15]-code) [i]✔
18Linear OA(367, 6572, F3, 13) (dual of [6572, 6505, 14]-code) [i]✔
19Linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code) [i]✔
20Linear OA(362, 6583, F3, 11) (dual of [6583, 6521, 12]-code) [i]✔