Information on Result #672850

Linear OA(273, 4096, F2, 13) (dual of [4096, 4023, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, 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(286, 4109, F2, 15) (dual of [4109, 4023, 16]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(274, 4109, F2, 13) (dual of [4109, 4035, 14]-code) [i]
3Linear OA(274, 4110, F2, 13) (dual of [4110, 4036, 14]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OOA(273, 2048, F2, 2, 13) (dual of [(2048, 2), 4023, 14]-NRT-code) [i]OOA Folding
5Linear OOA(273, 1365, F2, 3, 13) (dual of [(1365, 3), 4022, 14]-NRT-code) [i]
6Linear OOA(273, 1024, F2, 4, 13) (dual of [(1024, 4), 4023, 14]-NRT-code) [i]
7Linear OOA(273, 819, F2, 5, 13) (dual of [(819, 5), 4022, 14]-NRT-code) [i]
8Linear OOA(273, 682, F2, 6, 13) (dual of [(682, 6), 4019, 14]-NRT-code) [i]
9Linear OOA(273, 682, F2, 7, 13) (dual of [(682, 7), 4701, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(273, 682, F2, 8, 13) (dual of [(682, 8), 5383, 14]-NRT-code) [i]
11Linear OOA(273, 682, F2, 13, 13) (dual of [(682, 13), 8793, 14]-NRT-code) [i]