Information on Result #673278

Linear OA(2109, 512, F2, 25) (dual of [512, 403, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(2119, 522, F2, 27) (dual of [522, 403, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2110, 522, F2, 25) (dual of [522, 412, 26]-code) [i]✔
3Linear OA(2147, 545, F2, 31) (dual of [545, 398, 32]-code) [i]✔
4Linear OA(2149, 552, F2, 31) (dual of [552, 403, 32]-code) [i]✔
5Linear OA(2120, 545, F2, 25) (dual of [545, 425, 26]-code) [i]✔
6Linear OA(2148, 547, F2, 31) (dual of [547, 399, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
7Linear OA(2146, 543, F2, 31) (dual of [543, 397, 32]-code) [i]✔
8Linear OA(2145, 541, F2, 31) (dual of [541, 396, 32]-code) [i]✔
9Linear OA(2131, 527, F2, 29) (dual of [527, 396, 30]-code) [i]✔
10Linear OA(2139, 547, F2, 29) (dual of [547, 408, 30]-code) [i]✔
11Linear OA(2137, 543, F2, 29) (dual of [543, 406, 30]-code) [i]✔
12Linear OA(2136, 541, F2, 29) (dual of [541, 405, 30]-code) [i]✔
13Linear OA(2123, 529, F2, 27) (dual of [529, 406, 28]-code) [i]✔
14Linear OA(2122, 527, F2, 27) (dual of [527, 405, 28]-code) [i]✔
15Linear OA(2113, 527, F2, 25) (dual of [527, 414, 26]-code) [i]✔
16Linear OA(2119, 543, F2, 25) (dual of [543, 424, 26]-code) [i]✔
17Linear OA(2118, 541, F2, 25) (dual of [541, 423, 26]-code) [i]✔
18Linear OOA(2109, 256, F2, 2, 25) (dual of [(256, 2), 403, 26]-NRT-code) [i]OOA Folding
19Linear OOA(2109, 128, F2, 4, 25) (dual of [(128, 4), 403, 26]-NRT-code) [i]