Information on Result #699917

Linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(12843, 16386, F128, 22) (dual of [16386, 16343, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(12841, 16386, F128, 21) (dual of [16386, 16345, 22]-code) [i]✔
3Linear OA(12849, 16392, F128, 24) (dual of [16392, 16343, 25]-code) [i]✔
4Linear OA(12843, 16392, F128, 21) (dual of [16392, 16349, 22]-code) [i]✔
5Linear OA(12855, 16398, F128, 26) (dual of [16398, 16343, 27]-code) [i]✔
6Linear OA(12845, 16398, F128, 21) (dual of [16398, 16353, 22]-code) [i]✔
7Linear OA(12861, 16404, F128, 28) (dual of [16404, 16343, 29]-code) [i]✔
8Linear OA(12847, 16404, F128, 21) (dual of [16404, 16357, 22]-code) [i]✔
9Linear OA(12867, 16410, F128, 30) (dual of [16410, 16343, 31]-code) [i]✔
10Linear OA(12849, 16410, F128, 21) (dual of [16410, 16361, 22]-code) [i]✔
11Linear OA(12873, 16416, F128, 32) (dual of [16416, 16343, 33]-code) [i]✔
12Linear OOA(12841, 4096, F128, 4, 21) (dual of [(4096, 4), 16343, 22]-NRT-code) [i]OOA Folding
13Linear OOA(12841, 1638, F128, 21, 21) (dual of [(1638, 21), 34357, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row