Information on Result #672405

Linear OA(273, 262144, F2, 9) (dual of [262144, 262071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(292, 262163, F2, 11) (dual of [262163, 262071, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(274, 262163, F2, 9) (dual of [262163, 262089, 10]-code) [i]✔
3Linear OA(292, 262164, F2, 11) (dual of [262164, 262072, 12]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(274, 262164, F2, 9) (dual of [262164, 262090, 10]-code) [i]✔
5Linear OOA(273, 131072, F2, 2, 9) (dual of [(131072, 2), 262071, 10]-NRT-code) [i]OOA Folding
6Linear OOA(273, 87381, F2, 3, 9) (dual of [(87381, 3), 262070, 10]-NRT-code) [i]
7Linear OOA(273, 65536, F2, 4, 9) (dual of [(65536, 4), 262071, 10]-NRT-code) [i]