Information on Result #673281

Linear OA(291, 512, F2, 21) (dual of [512, 421, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(2101, 522, F2, 23) (dual of [522, 421, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(292, 522, F2, 21) (dual of [522, 430, 22]-code) [i]✔
3Linear OA(2129, 545, F2, 27) (dual of [545, 416, 28]-code) [i]✔
4Linear OA(2130, 547, F2, 27) (dual of [547, 417, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
5Linear OA(2128, 543, F2, 27) (dual of [543, 415, 28]-code) [i]✔
6Linear OA(2127, 541, F2, 27) (dual of [541, 414, 28]-code) [i]✔
7Linear OA(2113, 527, F2, 25) (dual of [527, 414, 26]-code) [i]✔
8Linear OA(2119, 543, F2, 25) (dual of [543, 424, 26]-code) [i]✔
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(295, 527, F2, 21) (dual of [527, 432, 22]-code) [i]✔
13Linear OA(2100, 541, F2, 21) (dual of [541, 441, 22]-code) [i]✔
14Linear OOA(291, 256, F2, 2, 21) (dual of [(256, 2), 421, 22]-NRT-code) [i]OOA Folding
15Linear OOA(291, 128, F2, 4, 21) (dual of [(128, 4), 421, 22]-NRT-code) [i]