Information on Result #611196

Linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(2154, 16383, F2, 22) (dual of [16383, 16229, 23]-code) [i]Truncation
2Linear OA(2170, 16399, F2, 25) (dual of [16399, 16229, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2156, 16399, F2, 23) (dual of [16399, 16243, 24]-code) [i]✔
4Linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code) [i]✔
5Linear OA(2190, 16419, F2, 27) (dual of [16419, 16229, 28]-code) [i]✔
6Linear OA(2161, 16416, F2, 23) (dual of [16416, 16255, 24]-code) [i]✔
7Linear OA(2162, 16419, F2, 23) (dual of [16419, 16257, 24]-code) [i]✔
8Linear OA(2210, 16439, F2, 29) (dual of [16439, 16229, 30]-code) [i]✔
9Linear OA(2209, 16429, F2, 29) (dual of [16429, 16220, 30]-code) [i]✔
10Linear OA(2209, 16432, F2, 29) (dual of [16432, 16223, 30]-code) [i]✔
11Linear OOA(2155, 8192, F2, 2, 23) (dual of [(8192, 2), 16229, 24]-NRT-code) [i]OOA Folding
12Linear OOA(2155, 5461, F2, 3, 23) (dual of [(5461, 3), 16228, 24]-NRT-code) [i]
13Linear OOA(2155, 4096, F2, 4, 23) (dual of [(4096, 4), 16229, 24]-NRT-code) [i]
14Linear OOA(2155, 3276, F2, 5, 23) (dual of [(3276, 5), 16225, 24]-NRT-code) [i]
15Linear OOA(2155, 2730, F2, 6, 23) (dual of [(2730, 6), 16225, 24]-NRT-code) [i]
16Linear OOA(2155, 2340, F2, 7, 23) (dual of [(2340, 7), 16225, 24]-NRT-code) [i]
17Linear OOA(2155, 2048, F2, 8, 23) (dual of [(2048, 8), 16229, 24]-NRT-code) [i]
18Linear OOA(2155, 1489, F2, 23, 23) (dual of [(1489, 23), 34092, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row