Information on Result #615980

Linear OA(9127, 729, F9, 48) (dual of [729, 602, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48

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(9127, 732, F9, 48) (dual of [732, 605, 49]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(9139, 762, F9, 48) (dual of [762, 623, 49]-code) [i]✔
3Linear OA(9141, 767, F9, 48) (dual of [767, 626, 49]-code) [i]✔
4Linear OA(9142, 769, F9, 48) (dual of [769, 627, 49]-code) [i]✔
5Linear OA(9143, 772, F9, 48) (dual of [772, 629, 49]-code) [i]✔
6Linear OA(9144, 776, F9, 48) (dual of [776, 632, 49]-code) [i]✔
7Linear OA(9147, 782, F9, 48) (dual of [782, 635, 49]-code) [i]✔
8Linear OA(9149, 787, F9, 48) (dual of [787, 638, 49]-code) [i]✔
9Linear OA(9137, 758, F9, 48) (dual of [758, 621, 49]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes