Information on Result #606763

Linear OA(25640, 256, F256, 40) (dual of [256, 216, 41]-code or 256-arc in PG(39,256)), using Reed–Solomon code RS(216,256)

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(25643, 259, F256, 42) (dual of [259, 216, 43]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25641, 259, F256, 40) (dual of [259, 218, 41]-code) [i]✔
3Linear OA(25645, 261, F256, 43) (dual of [261, 216, 44]-code) [i]✔
4Linear OA(25642, 261, F256, 40) (dual of [261, 219, 41]-code) [i]✔
5Linear OA(25647, 263, F256, 44) (dual of [263, 216, 45]-code) [i]✔
6Linear OA(25643, 263, F256, 40) (dual of [263, 220, 41]-code) [i]✔
7Linear OA(25649, 265, F256, 45) (dual of [265, 216, 46]-code) [i]✔
8Linear OA(25644, 265, F256, 40) (dual of [265, 221, 41]-code) [i]✔
9Linear OA(25651, 267, F256, 46) (dual of [267, 216, 47]-code) [i]✔
10Linear OA(25645, 267, F256, 40) (dual of [267, 222, 41]-code) [i]✔
11Linear OA(25653, 269, F256, 47) (dual of [269, 216, 48]-code) [i]✔
12Linear OA(25646, 269, F256, 40) (dual of [269, 223, 41]-code) [i]✔
13Linear OA(25655, 271, F256, 48) (dual of [271, 216, 49]-code) [i]✔
14Linear OA(25647, 271, F256, 40) (dual of [271, 224, 41]-code) [i]✔
15Linear OA(25657, 273, F256, 49) (dual of [273, 216, 50]-code) [i]✔
16Linear OA(25648, 273, F256, 40) (dual of [273, 225, 41]-code) [i]✔
17Linear OA(25659, 275, F256, 50) (dual of [275, 216, 51]-code) [i]✔
18Linear OA(25649, 275, F256, 40) (dual of [275, 226, 41]-code) [i]✔
19Linear OA(25661, 277, F256, 51) (dual of [277, 216, 52]-code) [i]✔
20Linear OA(25650, 277, F256, 40) (dual of [277, 227, 41]-code) [i]✔
21Linear OA(25663, 279, F256, 52) (dual of [279, 216, 53]-code) [i]✔
22Linear OA(25651, 279, F256, 40) (dual of [279, 228, 41]-code) [i]✔
23Linear OA(25665, 281, F256, 53) (dual of [281, 216, 54]-code) [i]✔
24Linear OA(25652, 281, F256, 40) (dual of [281, 229, 41]-code) [i]✔
25Linear OA(25667, 283, F256, 54) (dual of [283, 216, 55]-code) [i]✔
26Linear OA(25653, 283, F256, 40) (dual of [283, 230, 41]-code) [i]✔
27Linear OA(25654, 285, F256, 40) (dual of [285, 231, 41]-code) [i]✔
28Linear OA(25655, 287, F256, 40) (dual of [287, 232, 41]-code) [i]✔
29Linear OA(25656, 289, F256, 40) (dual of [289, 233, 41]-code) [i]✔
30Linear OA(25657, 291, F256, 40) (dual of [291, 234, 41]-code) [i]✔
31Linear OA(25658, 293, F256, 40) (dual of [293, 235, 41]-code) [i]✔
32Linear OA(25659, 295, F256, 40) (dual of [295, 236, 41]-code) [i]✔
33Linear OA(25660, 297, F256, 40) (dual of [297, 237, 41]-code) [i]✔
34Linear OA(25661, 299, F256, 40) (dual of [299, 238, 41]-code) [i]✔
35Linear OA(25662, 301, F256, 40) (dual of [301, 239, 41]-code) [i]✔
36Linear OA(25663, 303, F256, 40) (dual of [303, 240, 41]-code) [i]✔
37Linear OA(25664, 305, F256, 40) (dual of [305, 241, 41]-code) [i]✔
38Linear OA(25665, 307, F256, 40) (dual of [307, 242, 41]-code) [i]✔