Information on Result #611660

Linear OA(337, 729, F3, 10) (dual of [729, 692, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(343, 735, F3, 11) (dual of [735, 692, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(338, 736, F3, 10) (dual of [736, 698, 11]-code) [i]✔
3Linear OA(350, 742, F3, 12) (dual of [742, 692, 13]-code) [i]✔
4Linear OA(352, 742, F3, 13) (dual of [742, 690, 14]-code) [i]✔
5Linear OA(353, 745, F3, 13) (dual of [745, 692, 14]-code) [i]✔
6Linear OA(340, 742, F3, 10) (dual of [742, 702, 11]-code) [i]✔
7Linear OA(341, 745, F3, 10) (dual of [745, 704, 11]-code) [i]✔
8Linear OA(360, 749, F3, 14) (dual of [749, 689, 15]-code) [i]✔
9Linear OA(361, 753, F3, 14) (dual of [753, 692, 15]-code) [i]✔
10Linear OA(369, 757, F3, 16) (dual of [757, 688, 17]-code) [i]✔
11Linear OA(351, 738, F3, 13) (dual of [738, 687, 14]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(353, 747, F3, 12) (dual of [747, 694, 13]-code) [i]✔
13Linear OA(345, 738, F3, 11) (dual of [738, 693, 12]-code) [i]✔
14Linear OA(339, 738, F3, 10) (dual of [738, 699, 11]-code) [i]✔
15Linear OA(350, 743, F3, 12) (dual of [743, 693, 13]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
16Linear OOA(337, 243, F3, 3, 10) (dual of [(243, 3), 692, 11]-NRT-code) [i]OOA Folding