Information on Result #619799

Linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(1654, 131072, F16, 14) (dual of [131072, 131018, 15]-code) [i]Trace Code
2Linear OA(25634, 65793, F256, 14) (dual of [65793, 65759, 15]-code) [i](u, u+v)-Construction
3Linear OA(25635, 65796, F256, 14) (dual of [65796, 65761, 15]-code) [i]
4Linear OA(25636, 65798, F256, 14) (dual of [65798, 65762, 15]-code) [i]
5Linear OA(25637, 66048, F256, 14) (dual of [66048, 66011, 15]-code) [i]
6Linear OA(25638, 66307, F256, 14) (dual of [66307, 66269, 15]-code) [i]
7Linear OA(25639, 66821, F256, 14) (dual of [66821, 66782, 15]-code) [i]
8Linear OA(25637, 66050, F256, 14) (dual of [66050, 66013, 15]-code) [i]
9Linear OA(25638, 65548, F256, 14) (dual of [65548, 65510, 15]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(25639, 65551, F256, 14) (dual of [65551, 65512, 15]-code) [i]
11Linear OA(25636, 65546, F256, 14) (dual of [65546, 65510, 15]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(25637, 65548, F256, 14) (dual of [65548, 65511, 15]-code) [i]
13Linear OA(25638, 66050, F256, 14) (dual of [66050, 66012, 15]-code) [i]
14Linear OA(25639, 66053, F256, 14) (dual of [66053, 66014, 15]-code) [i]
15Linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(25627, 65538, F256, 14) (dual of [65538, 65511, 15]-code) [i]✔
17Linear OA(25632, 65541, F256, 16) (dual of [65541, 65509, 17]-code) [i]✔
18Linear OA(25628, 65541, F256, 14) (dual of [65541, 65513, 15]-code) [i]✔
19Linear OA(25635, 65544, F256, 17) (dual of [65544, 65509, 18]-code) [i]✔
20Linear OA(25629, 65544, F256, 14) (dual of [65544, 65515, 15]-code) [i]✔
21Linear OA(25638, 65547, F256, 18) (dual of [65547, 65509, 19]-code) [i]✔
22Linear OA(25630, 65547, F256, 14) (dual of [65547, 65517, 15]-code) [i]✔
23Linear OA(25641, 65550, F256, 19) (dual of [65550, 65509, 20]-code) [i]✔
24Linear OA(25631, 65550, F256, 14) (dual of [65550, 65519, 15]-code) [i]✔
25Linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code) [i]✔
26Linear OA(25632, 65553, F256, 14) (dual of [65553, 65521, 15]-code) [i]✔
27Linear OA(25647, 65556, F256, 21) (dual of [65556, 65509, 22]-code) [i]✔
28Linear OA(25633, 65556, F256, 14) (dual of [65556, 65523, 15]-code) [i]✔
29Linear OA(25650, 65559, F256, 22) (dual of [65559, 65509, 23]-code) [i]✔
30Linear OA(25653, 65562, F256, 23) (dual of [65562, 65509, 24]-code) [i]✔
31Linear OA(25656, 65565, F256, 24) (dual of [65565, 65509, 25]-code) [i]✔
32Linear OA(25659, 65568, F256, 25) (dual of [65568, 65509, 26]-code) [i]✔
33Linear OA(25662, 65571, F256, 26) (dual of [65571, 65509, 27]-code) [i]✔
34Linear OA(25665, 65574, F256, 27) (dual of [65574, 65509, 28]-code) [i]✔
35Linear OA(25668, 65577, F256, 28) (dual of [65577, 65509, 29]-code) [i]✔
36Linear OOA(25627, 16384, F256, 4, 14) (dual of [(16384, 4), 65509, 15]-NRT-code) [i]OOA Folding
37Linear OOA(25627, 13107, F256, 5, 14) (dual of [(13107, 5), 65508, 15]-NRT-code) [i]
38Linear OOA(25627, 9362, F256, 14, 14) (dual of [(9362, 14), 131041, 15]-NRT-code) [i]OA Folding and Stacking