Information on Result #610948

Linear OA(261, 32769, F2, 9) (dual of [32769, 32708, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(260, 32768, F2, 8) (dual of [32768, 32708, 9]-code) [i]Truncation
2Linear OA(265, 32774, F2, 9) (dual of [32774, 32709, 10]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(294, 32773, F2, 13) (dual of [32773, 32679, 14]-code) [i]✔
4Linear OA(295, 32777, F2, 13) (dual of [32777, 32682, 14]-code) [i]✔
5Linear OA(296, 32785, F2, 13) (dual of [32785, 32689, 14]-code) [i]✔
6Linear OA(264, 32773, F2, 9) (dual of [32773, 32709, 10]-code) [i]✔
7Linear OOA(261, 10923, F2, 3, 9) (dual of [(10923, 3), 32708, 10]-NRT-code) [i]OOA Folding
8Linear OOA(261, 8192, F2, 5, 9) (dual of [(8192, 5), 40899, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row
9Linear OOA(261, 8192, F2, 6, 9) (dual of [(8192, 6), 49091, 10]-NRT-code) [i]
10Linear OOA(261, 8192, F2, 7, 9) (dual of [(8192, 7), 57283, 10]-NRT-code) [i]
11Linear OOA(261, 8192, F2, 8, 9) (dual of [(8192, 8), 65475, 10]-NRT-code) [i]