Information on Result #676541

Linear OA(349, 729, F3, 13) (dual of [729, 680, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(355, 735, F3, 14) (dual of [735, 680, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(350, 736, F3, 13) (dual of [736, 686, 14]-code) [i]✔
3Linear OA(364, 742, F3, 16) (dual of [742, 678, 17]-code) [i]✔
4Linear OA(365, 745, F3, 16) (dual of [745, 680, 17]-code) [i]✔
5Linear OA(350, 742, F3, 12) (dual of [742, 692, 13]-code) [i]✔
6Linear OA(352, 742, F3, 13) (dual of [742, 690, 14]-code) [i]✔
7Linear OA(353, 745, F3, 13) (dual of [745, 692, 14]-code) [i]✔
8Linear OA(372, 749, F3, 17) (dual of [749, 677, 18]-code) [i]✔
9Linear OA(373, 753, F3, 17) (dual of [753, 680, 18]-code) [i]✔
10Linear OA(354, 749, F3, 12) (dual of [749, 695, 13]-code) [i]✔
11Linear OA(363, 738, F3, 16) (dual of [738, 675, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(365, 747, F3, 15) (dual of [747, 682, 16]-code) [i]✔
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(353, 747, F3, 12) (dual of [747, 694, 13]-code) [i]✔
17Linear OA(350, 743, F3, 12) (dual of [743, 693, 13]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
18Linear OOA(349, 243, F3, 3, 13) (dual of [(243, 3), 680, 14]-NRT-code) [i]OOA Folding