Information on Result #606767

Linear OA(25644, 256, F256, 44) (dual of [256, 212, 45]-code or 256-arc in PG(43,256)), using Reed–Solomon code RS(212,256)

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(25647, 259, F256, 46) (dual of [259, 212, 47]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25645, 259, F256, 44) (dual of [259, 214, 45]-code) [i]✔
3Linear OA(25649, 261, F256, 47) (dual of [261, 212, 48]-code) [i]✔
4Linear OA(25646, 261, F256, 44) (dual of [261, 215, 45]-code) [i]✔
5Linear OA(25651, 263, F256, 48) (dual of [263, 212, 49]-code) [i]✔
6Linear OA(25647, 263, F256, 44) (dual of [263, 216, 45]-code) [i]✔
7Linear OA(25653, 265, F256, 49) (dual of [265, 212, 50]-code) [i]✔
8Linear OA(25648, 265, F256, 44) (dual of [265, 217, 45]-code) [i]✔
9Linear OA(25655, 267, F256, 50) (dual of [267, 212, 51]-code) [i]✔
10Linear OA(25649, 267, F256, 44) (dual of [267, 218, 45]-code) [i]✔
11Linear OA(25657, 269, F256, 51) (dual of [269, 212, 52]-code) [i]✔
12Linear OA(25650, 269, F256, 44) (dual of [269, 219, 45]-code) [i]✔
13Linear OA(25659, 271, F256, 52) (dual of [271, 212, 53]-code) [i]✔
14Linear OA(25651, 271, F256, 44) (dual of [271, 220, 45]-code) [i]✔
15Linear OA(25661, 273, F256, 53) (dual of [273, 212, 54]-code) [i]✔
16Linear OA(25652, 273, F256, 44) (dual of [273, 221, 45]-code) [i]✔
17Linear OA(25663, 275, F256, 54) (dual of [275, 212, 55]-code) [i]✔
18Linear OA(25653, 275, F256, 44) (dual of [275, 222, 45]-code) [i]✔
19Linear OA(25665, 277, F256, 55) (dual of [277, 212, 56]-code) [i]✔
20Linear OA(25654, 277, F256, 44) (dual of [277, 223, 45]-code) [i]✔
21Linear OA(25667, 279, F256, 56) (dual of [279, 212, 57]-code) [i]✔
22Linear OA(25655, 279, F256, 44) (dual of [279, 224, 45]-code) [i]✔
23Linear OA(25656, 281, F256, 44) (dual of [281, 225, 45]-code) [i]✔
24Linear OA(25657, 283, F256, 44) (dual of [283, 226, 45]-code) [i]✔
25Linear OA(25658, 285, F256, 44) (dual of [285, 227, 45]-code) [i]✔
26Linear OA(25659, 287, F256, 44) (dual of [287, 228, 45]-code) [i]✔
27Linear OA(25660, 289, F256, 44) (dual of [289, 229, 45]-code) [i]✔
28Linear OA(25661, 291, F256, 44) (dual of [291, 230, 45]-code) [i]✔
29Linear OA(25662, 293, F256, 44) (dual of [293, 231, 45]-code) [i]✔
30Linear OA(25663, 295, F256, 44) (dual of [295, 232, 45]-code) [i]✔
31Linear OA(25664, 297, F256, 44) (dual of [297, 233, 45]-code) [i]✔
32Linear OA(25665, 299, F256, 44) (dual of [299, 234, 45]-code) [i]✔
33Linear OA(25666, 301, F256, 44) (dual of [301, 235, 45]-code) [i]✔
34Linear OA(25667, 303, F256, 44) (dual of [303, 236, 45]-code) [i]✔
35Linear OA(25668, 305, F256, 44) (dual of [305, 237, 45]-code) [i]✔