Information on Result #610987

Linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(290, 262143, F2, 10) (dual of [262143, 262053, 11]-code) [i]Truncation
2Linear OA(2110, 262163, F2, 13) (dual of [262163, 262053, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(292, 262163, F2, 11) (dual of [262163, 262071, 12]-code) [i]✔
4Linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code) [i]✔
5Linear OA(2110, 262164, F2, 13) (dual of [262164, 262054, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(292, 262164, F2, 11) (dual of [262164, 262072, 12]-code) [i]✔
7Linear OOA(291, 131072, F2, 2, 11) (dual of [(131072, 2), 262053, 12]-NRT-code) [i]OOA Folding
8Linear OOA(291, 87381, F2, 3, 11) (dual of [(87381, 3), 262052, 12]-NRT-code) [i]
9Linear OOA(291, 65536, F2, 4, 11) (dual of [(65536, 4), 262053, 12]-NRT-code) [i]
10Linear OOA(291, 52428, F2, 5, 11) (dual of [(52428, 5), 262049, 12]-NRT-code) [i]
11Linear OOA(291, 52428, F2, 6, 11) (dual of [(52428, 6), 314477, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(291, 52428, F2, 7, 11) (dual of [(52428, 7), 366905, 12]-NRT-code) [i]
13Linear OOA(291, 52428, F2, 8, 11) (dual of [(52428, 8), 419333, 12]-NRT-code) [i]
14Linear OOA(291, 52428, F2, 11, 11) (dual of [(52428, 11), 576617, 12]-NRT-code) [i]