Information on Result #611059

Linear OA(2127, 262144, F2, 15) (dual of [262144, 262017, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2126, 262143, F2, 14) (dual of [262143, 262017, 15]-code) [i]Truncation
2Linear OA(2146, 262163, F2, 17) (dual of [262163, 262017, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2128, 262163, F2, 15) (dual of [262163, 262035, 16]-code) [i]✔
4Linear OA(2169, 262176, F2, 19) (dual of [262176, 262007, 20]-code) [i]✔
5Linear OA(2170, 262187, F2, 19) (dual of [262187, 262017, 20]-code) [i]✔
6Linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code) [i]✔
7Linear OA(2146, 262164, F2, 17) (dual of [262164, 262018, 18]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
8Linear OA(2128, 262164, F2, 15) (dual of [262164, 262036, 16]-code) [i]✔
9Linear OOA(2127, 131072, F2, 2, 15) (dual of [(131072, 2), 262017, 16]-NRT-code) [i]OOA Folding
10Linear OOA(2127, 87381, F2, 3, 15) (dual of [(87381, 3), 262016, 16]-NRT-code) [i]
11Linear OOA(2127, 65536, F2, 4, 15) (dual of [(65536, 4), 262017, 16]-NRT-code) [i]
12Linear OOA(2127, 52428, F2, 5, 15) (dual of [(52428, 5), 262013, 16]-NRT-code) [i]
13Linear OOA(2127, 43690, F2, 6, 15) (dual of [(43690, 6), 262013, 16]-NRT-code) [i]
14Linear OOA(2127, 37449, F2, 7, 15) (dual of [(37449, 7), 262016, 16]-NRT-code) [i]
15Linear OOA(2127, 37449, F2, 8, 15) (dual of [(37449, 8), 299465, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
16Linear OOA(2127, 37449, F2, 15, 15) (dual of [(37449, 15), 561608, 16]-NRT-code) [i]