Information on Result #676546

Linear OA(325, 729, F3, 7) (dual of [729, 704, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7

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(331, 735, F3, 8) (dual of [735, 704, 9]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(326, 736, F3, 7) (dual of [736, 710, 8]-code) [i]✔
3Linear OA(340, 742, F3, 10) (dual of [742, 702, 11]-code) [i]✔
4Linear OA(341, 745, F3, 10) (dual of [745, 704, 11]-code) [i]✔
5Linear OA(326, 742, F3, 6) (dual of [742, 716, 7]-code) [i]✔
6Linear OA(348, 749, F3, 11) (dual of [749, 701, 12]-code) [i]✔
7Linear OA(339, 738, F3, 10) (dual of [738, 699, 11]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(333, 738, F3, 8) (dual of [738, 705, 9]-code) [i]✔
9Linear OA(326, 737, F3, 7) (dual of [737, 711, 8]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(326, 743, F3, 6) (dual of [743, 717, 7]-code) [i]✔
11Linear OOA(325, 243, F3, 3, 7) (dual of [(243, 3), 704, 8]-NRT-code) [i]OOA Folding