Information on Result #611214

Linear OA(2109, 513, F2, 25) (dual of [513, 404, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)

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(2108, 512, F2, 24) (dual of [512, 404, 25]-code) [i]Truncation
2Linear OA(2119, 524, F2, 25) (dual of [524, 405, 26]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2128, 532, F2, 27) (dual of [532, 404, 28]-code) [i]✔
4Linear OA(2130, 517, F2, 29) (dual of [517, 387, 30]-code) [i]✔
5Linear OA(2131, 521, F2, 29) (dual of [521, 390, 30]-code) [i]✔
6Linear OA(2132, 529, F2, 29) (dual of [529, 397, 30]-code) [i]✔
7Linear OA(2133, 537, F2, 29) (dual of [537, 404, 30]-code) [i]✔
8Linear OA(2110, 532, F2, 23) (dual of [532, 422, 24]-code) [i]✔
9Linear OA(2112, 517, F2, 25) (dual of [517, 405, 26]-code) [i]✔
10Linear OA(2113, 521, F2, 25) (dual of [521, 408, 26]-code) [i]✔
11Linear OA(2114, 529, F2, 25) (dual of [529, 415, 26]-code) [i]✔
12Linear OA(2115, 537, F2, 25) (dual of [537, 422, 26]-code) [i]✔
13Linear OOA(2109, 171, F2, 3, 25) (dual of [(171, 3), 404, 26]-NRT-code) [i]OOA Folding