Information on Result #611801

Linear OA(367, 729, F3, 17) (dual of [729, 662, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(375, 738, F3, 17) (dual of [738, 663, 18]-code) [i](u, u+v)-Construction
2Linear OA(374, 736, F3, 19) (dual of [736, 662, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(367, 735, F3, 17) (dual of [735, 668, 18]-code) [i]✔
4Linear OA(382, 742, F3, 20) (dual of [742, 660, 21]-code) [i]✔
5Linear OA(383, 745, F3, 20) (dual of [745, 662, 21]-code) [i]✔
6Linear OA(370, 742, F3, 17) (dual of [742, 672, 18]-code) [i]✔
7Linear OA(371, 745, F3, 17) (dual of [745, 674, 18]-code) [i]✔
8Linear OA(392, 754, F3, 22) (dual of [754, 662, 23]-code) [i]✔
9Linear OA(390, 749, F3, 21) (dual of [749, 659, 22]-code) [i]✔
10Linear OA(372, 749, F3, 17) (dual of [749, 677, 18]-code) [i]✔
11Linear OA(373, 753, F3, 17) (dual of [753, 680, 18]-code) [i]✔
12Linear OA(399, 757, F3, 23) (dual of [757, 658, 24]-code) [i]✔
13Linear OA(3101, 763, F3, 23) (dual of [763, 662, 24]-code) [i]✔
14Linear OA(375, 757, F3, 17) (dual of [757, 682, 18]-code) [i]✔
15Linear OA(389, 747, F3, 21) (dual of [747, 658, 22]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(391, 748, F3, 22) (dual of [748, 657, 23]-code) [i]✔
17Linear OA(381, 738, F3, 20) (dual of [738, 657, 21]-code) [i]✔
18Linear OA(375, 738, F3, 19) (dual of [738, 663, 20]-code) [i]✔
19Linear OA(369, 738, F3, 17) (dual of [738, 669, 18]-code) [i]✔