Information on Result #672395

Linear OA(2145, 262144, F2, 17) (dual of [262144, 261999, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(2164, 262163, F2, 19) (dual of [262163, 261999, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2146, 262163, F2, 17) (dual of [262163, 262017, 18]-code) [i]✔
3Linear OA(2164, 262164, F2, 19) (dual of [262164, 262000, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(2146, 262164, F2, 17) (dual of [262164, 262018, 18]-code) [i]✔
5Linear OOA(2145, 131072, F2, 2, 17) (dual of [(131072, 2), 261999, 18]-NRT-code) [i]OOA Folding
6Linear OOA(2145, 87381, F2, 3, 17) (dual of [(87381, 3), 261998, 18]-NRT-code) [i]
7Linear OOA(2145, 65536, F2, 4, 17) (dual of [(65536, 4), 261999, 18]-NRT-code) [i]
8Linear OOA(2145, 43690, F2, 6, 17) (dual of [(43690, 6), 261995, 18]-NRT-code) [i]
9Linear OOA(2145, 37449, F2, 7, 17) (dual of [(37449, 7), 261998, 18]-NRT-code) [i]
10Linear OOA(2145, 32768, F2, 8, 17) (dual of [(32768, 8), 261999, 18]-NRT-code) [i]