Information on Result #611131

Linear OA(2145, 65536, F2, 19) (dual of [65536, 65391, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, 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(2144, 65535, F2, 18) (dual of [65535, 65391, 19]-code) [i]Truncation
2Linear OA(2162, 65553, F2, 21) (dual of [65553, 65391, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2146, 65553, F2, 19) (dual of [65553, 65407, 20]-code) [i]✔
4Linear OA(2183, 65568, F2, 23) (dual of [65568, 65385, 24]-code) [i]✔
5Linear OA(2184, 65575, F2, 23) (dual of [65575, 65391, 24]-code) [i]✔
6Linear OA(2151, 65568, F2, 19) (dual of [65568, 65417, 20]-code) [i]✔
7Linear OA(2152, 65575, F2, 19) (dual of [65575, 65423, 20]-code) [i]✔
8Linear OOA(2145, 32768, F2, 2, 19) (dual of [(32768, 2), 65391, 20]-NRT-code) [i]OOA Folding
9Linear OOA(2145, 21845, F2, 3, 19) (dual of [(21845, 3), 65390, 20]-NRT-code) [i]
10Linear OOA(2145, 16384, F2, 4, 19) (dual of [(16384, 4), 65391, 20]-NRT-code) [i]
11Linear OOA(2145, 13107, F2, 5, 19) (dual of [(13107, 5), 65390, 20]-NRT-code) [i]
12Linear OOA(2145, 10922, F2, 6, 19) (dual of [(10922, 6), 65387, 20]-NRT-code) [i]
13Linear OOA(2145, 9362, F2, 7, 19) (dual of [(9362, 7), 65389, 20]-NRT-code) [i]
14Linear OOA(2145, 8192, F2, 8, 19) (dual of [(8192, 8), 65391, 20]-NRT-code) [i]
15Linear OOA(2145, 7281, F2, 19, 19) (dual of [(7281, 19), 138194, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row