Information on Result #611189

Linear OA(271, 128, F2, 23) (dual of [128, 57, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(279, 136, F2, 25) (dual of [136, 57, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(281, 132, F2, 27) (dual of [132, 51, 28]-code) [i]✔
3Linear OA(282, 136, F2, 27) (dual of [136, 54, 28]-code) [i]✔
4Linear OA(283, 140, F2, 27) (dual of [140, 57, 28]-code) [i]✔
5Linear OA(272, 136, F2, 23) (dual of [136, 64, 24]-code) [i]✔
6Linear OA(276, 144, F2, 23) (dual of [144, 68, 24]-code) [i]✔
7Linear OA(277, 148, F2, 23) (dual of [148, 71, 24]-code) [i]✔
8Linear OA(293, 146, F2, 29) (dual of [146, 53, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(292, 144, F2, 29) (dual of [144, 52, 30]-code) [i]✔
10Linear OA(290, 141, F2, 29) (dual of [141, 51, 30]-code) [i]✔
11Linear OA(287, 147, F2, 27) (dual of [147, 60, 28]-code) [i]✔
12Linear OA(286, 145, F2, 27) (dual of [145, 59, 28]-code) [i]✔
13Linear OA(282, 141, F2, 25) (dual of [141, 59, 26]-code) [i]✔
14Linear OA(285, 143, F2, 27) (dual of [143, 58, 28]-code) [i]✔
15Linear OA(281, 139, F2, 25) (dual of [139, 58, 26]-code) [i]✔
16Linear OA(275, 141, F2, 23) (dual of [141, 66, 24]-code) [i]✔
17Linear OA(274, 139, F2, 23) (dual of [139, 65, 24]-code) [i]✔
18Linear OOA(271, 64, F2, 2, 23) (dual of [(64, 2), 57, 24]-NRT-code) [i]OOA Folding