Information on Result #611266

Linear OA(2235, 262144, F2, 27) (dual of [262144, 261909, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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(2234, 262143, F2, 26) (dual of [262143, 261909, 27]-code) [i]Truncation
2Linear OA(2254, 262163, F2, 29) (dual of [262163, 261909, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2236, 262163, F2, 27) (dual of [262163, 261927, 28]-code) [i]✔
4Linear OA(2241, 262176, F2, 27) (dual of [262176, 261935, 28]-code) [i]✔
5Linear OA(2242, 262187, F2, 27) (dual of [262187, 261945, 28]-code) [i]✔
6Linear OOA(2235, 131072, F2, 2, 27) (dual of [(131072, 2), 261909, 28]-NRT-code) [i]OOA Folding
7Linear OOA(2235, 87381, F2, 3, 27) (dual of [(87381, 3), 261908, 28]-NRT-code) [i]
8Linear OOA(2235, 65536, F2, 4, 27) (dual of [(65536, 4), 261909, 28]-NRT-code) [i]
9Linear OOA(2235, 52428, F2, 5, 27) (dual of [(52428, 5), 261905, 28]-NRT-code) [i]
10Linear OOA(2235, 43690, F2, 6, 27) (dual of [(43690, 6), 261905, 28]-NRT-code) [i]
11Linear OOA(2235, 37449, F2, 7, 27) (dual of [(37449, 7), 261908, 28]-NRT-code) [i]
12Linear OOA(2235, 32768, F2, 8, 27) (dual of [(32768, 8), 261909, 28]-NRT-code) [i]
13Linear OOA(2235, 20164, F2, 27, 27) (dual of [(20164, 27), 544193, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row