Information on Result #611262

Linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(2182, 16383, F2, 26) (dual of [16383, 16201, 27]-code) [i]Truncation
2Linear OA(2198, 16399, F2, 29) (dual of [16399, 16201, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2184, 16399, F2, 27) (dual of [16399, 16215, 28]-code) [i]✔
4Linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code) [i]✔
5Linear OA(2218, 16419, F2, 31) (dual of [16419, 16201, 32]-code) [i]✔
6Linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code) [i]✔
7Linear OA(2190, 16419, F2, 27) (dual of [16419, 16229, 28]-code) [i]✔
8Linear OA(2238, 16439, F2, 33) (dual of [16439, 16201, 34]-code) [i]✔
9Linear OA(2237, 16429, F2, 33) (dual of [16429, 16192, 34]-code) [i]✔
10Linear OA(2195, 16429, F2, 27) (dual of [16429, 16234, 28]-code) [i]✔
11Linear OA(2237, 16432, F2, 33) (dual of [16432, 16195, 34]-code) [i]✔
12Linear OA(2195, 16432, F2, 27) (dual of [16432, 16237, 28]-code) [i]✔
13Linear OOA(2183, 8192, F2, 2, 27) (dual of [(8192, 2), 16201, 28]-NRT-code) [i]OOA Folding
14Linear OOA(2183, 5461, F2, 3, 27) (dual of [(5461, 3), 16200, 28]-NRT-code) [i]
15Linear OOA(2183, 4096, F2, 4, 27) (dual of [(4096, 4), 16201, 28]-NRT-code) [i]
16Linear OOA(2183, 3276, F2, 5, 27) (dual of [(3276, 5), 16197, 28]-NRT-code) [i]
17Linear OOA(2183, 2730, F2, 6, 27) (dual of [(2730, 6), 16197, 28]-NRT-code) [i]
18Linear OOA(2183, 2340, F2, 7, 27) (dual of [(2340, 7), 16197, 28]-NRT-code) [i]
19Linear OOA(2183, 2048, F2, 8, 27) (dual of [(2048, 8), 16201, 28]-NRT-code) [i]
20Linear OOA(2183, 1260, F2, 27, 27) (dual of [(1260, 27), 33837, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row