Information on Result #611199

Linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(2187, 131071, F2, 22) (dual of [131071, 130884, 23]-code) [i]Truncation
2Linear OA(2206, 131090, F2, 25) (dual of [131090, 130884, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2189, 131090, F2, 23) (dual of [131090, 130901, 24]-code) [i]✔
4Linear OA(2228, 131104, F2, 27) (dual of [131104, 130876, 28]-code) [i]✔
5Linear OA(2229, 131113, F2, 27) (dual of [131113, 130884, 28]-code) [i]✔
6Linear OA(2194, 131104, F2, 23) (dual of [131104, 130910, 24]-code) [i]✔
7Linear OA(2195, 131113, F2, 23) (dual of [131113, 130918, 24]-code) [i]✔
8Linear OA(2252, 131136, F2, 29) (dual of [131136, 130884, 30]-code) [i]✔
9Linear OA(2251, 131120, F2, 29) (dual of [131120, 130869, 30]-code) [i]✔
10Linear OOA(2188, 65536, F2, 2, 23) (dual of [(65536, 2), 130884, 24]-NRT-code) [i]OOA Folding
11Linear OOA(2188, 43690, F2, 3, 23) (dual of [(43690, 3), 130882, 24]-NRT-code) [i]
12Linear OOA(2188, 32768, F2, 4, 23) (dual of [(32768, 4), 130884, 24]-NRT-code) [i]
13Linear OOA(2188, 26214, F2, 5, 23) (dual of [(26214, 5), 130882, 24]-NRT-code) [i]
14Linear OOA(2188, 21845, F2, 6, 23) (dual of [(21845, 6), 130882, 24]-NRT-code) [i]
15Linear OOA(2188, 18724, F2, 7, 23) (dual of [(18724, 7), 130880, 24]-NRT-code) [i]
16Linear OOA(2188, 16384, F2, 8, 23) (dual of [(16384, 8), 130884, 24]-NRT-code) [i]
17Linear OOA(2188, 11915, F2, 23, 23) (dual of [(11915, 23), 273857, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row