Information on Result #672599

Linear OA(291, 32768, F2, 13) (dual of [32768, 32677, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(292, 32784, F2, 13) (dual of [32784, 32692, 14]-code) [i]✔
3Linear OA(2107, 32785, F2, 15) (dual of [32785, 32678, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(292, 32785, F2, 13) (dual of [32785, 32693, 14]-code) [i]✔
5Linear OOA(291, 16384, F2, 2, 13) (dual of [(16384, 2), 32677, 14]-NRT-code) [i]OOA Folding
6Linear OOA(291, 8192, F2, 4, 13) (dual of [(8192, 4), 32677, 14]-NRT-code) [i]
7Linear OOA(291, 6553, F2, 5, 13) (dual of [(6553, 5), 32674, 14]-NRT-code) [i]
8Linear OOA(291, 5461, F2, 6, 13) (dual of [(5461, 6), 32675, 14]-NRT-code) [i]
9Linear OOA(291, 5461, F2, 7, 13) (dual of [(5461, 7), 38136, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(291, 5461, F2, 8, 13) (dual of [(5461, 8), 43597, 14]-NRT-code) [i]
11Linear OOA(291, 5461, F2, 13, 13) (dual of [(5461, 13), 70902, 14]-NRT-code) [i]