Information on Result #611133

Linear OA(2163, 262144, F2, 19) (dual of [262144, 261981, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(2162, 262143, F2, 18) (dual of [262143, 261981, 19]-code) [i]Truncation
2Linear OA(2182, 262163, F2, 21) (dual of [262163, 261981, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2164, 262163, F2, 19) (dual of [262163, 261999, 20]-code) [i]✔
4Linear OA(2205, 262176, F2, 23) (dual of [262176, 261971, 24]-code) [i]✔
5Linear OA(2206, 262187, F2, 23) (dual of [262187, 261981, 24]-code) [i]✔
6Linear OA(2169, 262176, F2, 19) (dual of [262176, 262007, 20]-code) [i]✔
7Linear OA(2170, 262187, F2, 19) (dual of [262187, 262017, 20]-code) [i]✔
8Linear OA(2164, 262164, F2, 19) (dual of [262164, 262000, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
9Linear OOA(2163, 131072, F2, 2, 19) (dual of [(131072, 2), 261981, 20]-NRT-code) [i]OOA Folding
10Linear OOA(2163, 87381, F2, 3, 19) (dual of [(87381, 3), 261980, 20]-NRT-code) [i]
11Linear OOA(2163, 65536, F2, 4, 19) (dual of [(65536, 4), 261981, 20]-NRT-code) [i]
12Linear OOA(2163, 52428, F2, 5, 19) (dual of [(52428, 5), 261977, 20]-NRT-code) [i]
13Linear OOA(2163, 43690, F2, 6, 19) (dual of [(43690, 6), 261977, 20]-NRT-code) [i]
14Linear OOA(2163, 37449, F2, 7, 19) (dual of [(37449, 7), 261980, 20]-NRT-code) [i]
15Linear OOA(2163, 32768, F2, 8, 19) (dual of [(32768, 8), 261981, 20]-NRT-code) [i]
16Linear OOA(2163, 29127, F2, 19, 19) (dual of [(29127, 19), 553250, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row