Information on Result #672232

Linear OA(2127, 2097152, F2, 13) (dual of [2097152, 2097025, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, 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(2149, 2097174, F2, 15) (dual of [2097174, 2097025, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2128, 2097174, F2, 13) (dual of [2097174, 2097046, 14]-code) [i]✔
3Linear OA(2149, 2097175, F2, 15) (dual of [2097175, 2097026, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(2128, 2097175, F2, 13) (dual of [2097175, 2097047, 14]-code) [i]✔
5Linear OOA(2127, 1048576, F2, 2, 13) (dual of [(1048576, 2), 2097025, 14]-NRT-code) [i]OOA Folding
6Linear OOA(2127, 524288, F2, 4, 13) (dual of [(524288, 4), 2097025, 14]-NRT-code) [i]
7Linear OOA(2127, 419430, F2, 5, 13) (dual of [(419430, 5), 2097023, 14]-NRT-code) [i]
8Linear OOA(2127, 349525, F2, 6, 13) (dual of [(349525, 6), 2097023, 14]-NRT-code) [i]
9Linear OOA(2127, 349525, F2, 7, 13) (dual of [(349525, 7), 2446548, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(2127, 349525, F2, 8, 13) (dual of [(349525, 8), 2796073, 14]-NRT-code) [i]
11Linear OOA(2127, 349525, F2, 13, 13) (dual of [(349525, 13), 4543698, 14]-NRT-code) [i]