Information on Result #611129

Linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code) [i]Truncation
2Linear OA(2142, 16399, F2, 21) (dual of [16399, 16257, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2128, 16399, F2, 19) (dual of [16399, 16271, 20]-code) [i]✔
4Linear OA(2161, 16416, F2, 23) (dual of [16416, 16255, 24]-code) [i]✔
5Linear OA(2162, 16419, F2, 23) (dual of [16419, 16257, 24]-code) [i]✔
6Linear OA(2133, 16416, F2, 19) (dual of [16416, 16283, 20]-code) [i]✔
7Linear OA(2134, 16419, F2, 19) (dual of [16419, 16285, 20]-code) [i]✔
8Linear OOA(2127, 8192, F2, 2, 19) (dual of [(8192, 2), 16257, 20]-NRT-code) [i]OOA Folding
9Linear OOA(2127, 5461, F2, 3, 19) (dual of [(5461, 3), 16256, 20]-NRT-code) [i]
10Linear OOA(2127, 4096, F2, 4, 19) (dual of [(4096, 4), 16257, 20]-NRT-code) [i]
11Linear OOA(2127, 3276, F2, 5, 19) (dual of [(3276, 5), 16253, 20]-NRT-code) [i]
12Linear OOA(2127, 2730, F2, 6, 19) (dual of [(2730, 6), 16253, 20]-NRT-code) [i]
13Linear OOA(2127, 2340, F2, 7, 19) (dual of [(2340, 7), 16253, 20]-NRT-code) [i]
14Linear OOA(2127, 2048, F2, 8, 19) (dual of [(2048, 8), 16257, 20]-NRT-code) [i]
15Linear OOA(2127, 1820, F2, 19, 19) (dual of [(1820, 19), 34453, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row