Information on Result #672841

Linear OA(2145, 4096, F2, 25) (dual of [4096, 3951, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(2158, 4109, F2, 27) (dual of [4109, 3951, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code) [i]✔
3Linear OA(2194, 4145, F2, 31) (dual of [4145, 3951, 32]-code) [i]✔
4Linear OA(2193, 4141, F2, 31) (dual of [4141, 3948, 32]-code) [i]✔
5Linear OA(2193, 4144, F2, 31) (dual of [4144, 3951, 32]-code) [i]✔
6Linear OOA(2145, 2048, F2, 2, 25) (dual of [(2048, 2), 3951, 26]-NRT-code) [i]OOA Folding
7Linear OOA(2145, 1365, F2, 3, 25) (dual of [(1365, 3), 3950, 26]-NRT-code) [i]
8Linear OOA(2145, 1024, F2, 4, 25) (dual of [(1024, 4), 3951, 26]-NRT-code) [i]
9Linear OOA(2145, 819, F2, 5, 25) (dual of [(819, 5), 3950, 26]-NRT-code) [i]
10Linear OOA(2145, 682, F2, 6, 25) (dual of [(682, 6), 3947, 26]-NRT-code) [i]
11Linear OOA(2145, 585, F2, 7, 25) (dual of [(585, 7), 3950, 26]-NRT-code) [i]
12Linear OOA(2145, 512, F2, 8, 25) (dual of [(512, 8), 3951, 26]-NRT-code) [i]
13Linear OOA(2145, 341, F2, 25, 25) (dual of [(341, 25), 8380, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row