Information on Result #672460

Linear OA(2103, 131072, F2, 13) (dual of [131072, 130969, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2121, 131090, F2, 15) (dual of [131090, 130969, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2104, 131090, F2, 13) (dual of [131090, 130986, 14]-code) [i]✔
3Linear OA(2121, 131091, F2, 15) (dual of [131091, 130970, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(2104, 131091, F2, 13) (dual of [131091, 130987, 14]-code) [i]✔
5Linear OOA(2103, 65536, F2, 2, 13) (dual of [(65536, 2), 130969, 14]-NRT-code) [i]OOA Folding
6Linear OOA(2103, 32768, F2, 4, 13) (dual of [(32768, 4), 130969, 14]-NRT-code) [i]
7Linear OOA(2103, 26214, F2, 5, 13) (dual of [(26214, 5), 130967, 14]-NRT-code) [i]
8Linear OOA(2103, 21845, F2, 6, 13) (dual of [(21845, 6), 130967, 14]-NRT-code) [i]
9Linear OOA(2103, 21845, F2, 7, 13) (dual of [(21845, 7), 152812, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(2103, 21845, F2, 8, 13) (dual of [(21845, 8), 174657, 14]-NRT-code) [i]
11Linear OOA(2103, 21845, F2, 13, 13) (dual of [(21845, 13), 283882, 14]-NRT-code) [i]