Information on Result #611124

Linear OA(282, 512, F2, 19) (dual of [512, 430, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(292, 522, F2, 21) (dual of [522, 430, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(283, 522, F2, 19) (dual of [522, 439, 20]-code) [i]✔
3Linear OA(2105, 528, F2, 23) (dual of [528, 423, 24]-code) [i]✔
4Linear OA(2106, 536, F2, 23) (dual of [536, 430, 24]-code) [i]✔
5Linear OA(287, 528, F2, 19) (dual of [528, 441, 20]-code) [i]✔
6Linear OA(288, 536, F2, 19) (dual of [536, 448, 20]-code) [i]✔
7Linear OA(2120, 545, F2, 25) (dual of [545, 425, 26]-code) [i]✔
8Linear OA(2119, 543, F2, 25) (dual of [543, 424, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(2118, 541, F2, 25) (dual of [541, 423, 26]-code) [i]✔
10Linear OA(2105, 529, F2, 23) (dual of [529, 424, 24]-code) [i]✔
11Linear OA(2104, 527, F2, 23) (dual of [527, 423, 24]-code) [i]✔
12Linear OA(2110, 543, F2, 23) (dual of [543, 433, 24]-code) [i]✔
13Linear OA(2109, 541, F2, 23) (dual of [541, 432, 24]-code) [i]✔
14Linear OA(295, 527, F2, 21) (dual of [527, 432, 22]-code) [i]✔
15Linear OA(287, 529, F2, 19) (dual of [529, 442, 20]-code) [i]✔
16Linear OA(286, 527, F2, 19) (dual of [527, 441, 20]-code) [i]✔
17Linear OOA(282, 256, F2, 2, 19) (dual of [(256, 2), 430, 20]-NRT-code) [i]OOA Folding
18Linear OOA(282, 128, F2, 4, 19) (dual of [(128, 4), 430, 20]-NRT-code) [i]
19Linear OOA(282, 64, F2, 8, 19) (dual of [(64, 8), 430, 20]-NRT-code) [i]