Information on Result #611737

Linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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, 737, F3, 14) (dual of [737, 675, 15]-code) [i](u, u+v)-Construction
2Linear OA(362, 736, F3, 16) (dual of [736, 674, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(355, 735, F3, 14) (dual of [735, 680, 15]-code) [i]✔
4Linear OA(370, 742, F3, 17) (dual of [742, 672, 18]-code) [i]✔
5Linear OA(371, 745, F3, 17) (dual of [745, 674, 18]-code) [i]✔
6Linear OA(358, 742, F3, 14) (dual of [742, 684, 15]-code) [i]✔
7Linear OA(359, 745, F3, 14) (dual of [745, 686, 15]-code) [i]✔
8Linear OA(380, 754, F3, 19) (dual of [754, 674, 20]-code) [i]✔
9Linear OA(378, 749, F3, 18) (dual of [749, 671, 19]-code) [i]✔
10Linear OA(360, 749, F3, 14) (dual of [749, 689, 15]-code) [i]✔
11Linear OA(361, 753, F3, 14) (dual of [753, 692, 15]-code) [i]✔
12Linear OA(387, 757, F3, 20) (dual of [757, 670, 21]-code) [i]✔
13Linear OA(389, 763, F3, 20) (dual of [763, 674, 21]-code) [i]✔
14Linear OA(377, 747, F3, 18) (dual of [747, 670, 19]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(376, 745, F3, 18) (dual of [745, 669, 19]-code) [i]✔
16Linear OA(369, 738, F3, 17) (dual of [738, 669, 18]-code) [i]✔
17Linear OA(363, 738, F3, 16) (dual of [738, 675, 17]-code) [i]✔
18Linear OA(357, 738, F3, 14) (dual of [738, 681, 15]-code) [i]✔