Information on Result #611241

Linear OA(2217, 262145, F2, 25) (dual of [262145, 261928, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, 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(2216, 262144, F2, 24) (dual of [262144, 261928, 25]-code) [i]Truncation
2Linear OA(2229, 262158, F2, 25) (dual of [262158, 261929, 26]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2256, 262149, F2, 29) (dual of [262149, 261893, 30]-code) [i]✔
4Linear OA(2257, 262153, F2, 29) (dual of [262153, 261896, 30]-code) [i]✔
5Linear OA(2258, 262161, F2, 29) (dual of [262161, 261903, 30]-code) [i]✔
6Linear OA(2259, 262177, F2, 29) (dual of [262177, 261918, 30]-code) [i]✔
7Linear OA(2260, 262188, F2, 29) (dual of [262188, 261928, 30]-code) [i]✔
8Linear OA(2220, 262149, F2, 25) (dual of [262149, 261929, 26]-code) [i]✔
9Linear OA(2221, 262153, F2, 25) (dual of [262153, 261932, 26]-code) [i]✔
10Linear OA(2222, 262161, F2, 25) (dual of [262161, 261939, 26]-code) [i]✔
11Linear OA(2223, 262177, F2, 25) (dual of [262177, 261954, 26]-code) [i]✔
12Linear OA(2224, 262188, F2, 25) (dual of [262188, 261964, 26]-code) [i]✔
13Linear OOA(2217, 52429, F2, 5, 25) (dual of [(52429, 5), 261928, 26]-NRT-code) [i]OOA Folding