Information on Result #611674

Linear OA(343, 729, F3, 11) (dual of [729, 686, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, 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(348, 735, F3, 11) (dual of [735, 687, 12]-code) [i](u, u+v)-Construction
2Linear OA(350, 736, F3, 13) (dual of [736, 686, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(343, 735, F3, 11) (dual of [735, 692, 12]-code) [i]✔
4Linear OA(358, 742, F3, 14) (dual of [742, 684, 15]-code) [i]✔
5Linear OA(359, 745, F3, 14) (dual of [745, 686, 15]-code) [i]✔
6Linear OA(346, 742, F3, 11) (dual of [742, 696, 12]-code) [i]✔
7Linear OA(347, 745, F3, 11) (dual of [745, 698, 12]-code) [i]✔
8Linear OA(368, 754, F3, 16) (dual of [754, 686, 17]-code) [i]✔
9Linear OA(366, 749, F3, 15) (dual of [749, 683, 16]-code) [i]✔
10Linear OA(348, 749, F3, 11) (dual of [749, 701, 12]-code) [i]✔
11Linear OA(375, 757, F3, 17) (dual of [757, 682, 18]-code) [i]✔
12Linear OA(365, 747, F3, 15) (dual of [747, 682, 16]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(367, 748, F3, 16) (dual of [748, 681, 17]-code) [i]✔
14Linear OA(357, 738, F3, 14) (dual of [738, 681, 15]-code) [i]✔
15Linear OA(351, 738, F3, 13) (dual of [738, 687, 14]-code) [i]✔
16Linear OA(345, 738, F3, 11) (dual of [738, 693, 12]-code) [i]✔