Information on Result #672682

Linear OA(285, 16384, F2, 13) (dual of [16384, 16299, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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(2100, 16399, F2, 15) (dual of [16399, 16299, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(286, 16399, F2, 13) (dual of [16399, 16313, 14]-code) [i]✔
3Linear OA(2100, 16400, F2, 15) (dual of [16400, 16300, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(286, 16400, F2, 13) (dual of [16400, 16314, 14]-code) [i]✔
5Linear OOA(285, 8192, F2, 2, 13) (dual of [(8192, 2), 16299, 14]-NRT-code) [i]OOA Folding
6Linear OOA(285, 5461, F2, 3, 13) (dual of [(5461, 3), 16298, 14]-NRT-code) [i]
7Linear OOA(285, 4096, F2, 4, 13) (dual of [(4096, 4), 16299, 14]-NRT-code) [i]
8Linear OOA(285, 2730, F2, 6, 13) (dual of [(2730, 6), 16295, 14]-NRT-code) [i]
9Linear OOA(285, 2730, F2, 7, 13) (dual of [(2730, 7), 19025, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(285, 2730, F2, 8, 13) (dual of [(2730, 8), 21755, 14]-NRT-code) [i]
11Linear OOA(285, 2730, F2, 13, 13) (dual of [(2730, 13), 35405, 14]-NRT-code) [i]