Information on Result #672392

Linear OA(2181, 262144, F2, 21) (dual of [262144, 261963, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(2200, 262163, F2, 23) (dual of [262163, 261963, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2182, 262163, F2, 21) (dual of [262163, 261981, 22]-code) [i]✔
3Linear OOA(2181, 131072, F2, 2, 21) (dual of [(131072, 2), 261963, 22]-NRT-code) [i]OOA Folding
4Linear OOA(2181, 87381, F2, 3, 21) (dual of [(87381, 3), 261962, 22]-NRT-code) [i]
5Linear OOA(2181, 65536, F2, 4, 21) (dual of [(65536, 4), 261963, 22]-NRT-code) [i]
6Linear OOA(2181, 43690, F2, 6, 21) (dual of [(43690, 6), 261959, 22]-NRT-code) [i]
7Linear OOA(2181, 37449, F2, 7, 21) (dual of [(37449, 7), 261962, 22]-NRT-code) [i]
8Linear OOA(2181, 32768, F2, 8, 21) (dual of [(32768, 8), 261963, 22]-NRT-code) [i]
9Linear OOA(2181, 26214, F2, 21, 21) (dual of [(26214, 21), 550313, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row