Information on Result #606754

Linear OA(25631, 256, F256, 31) (dual of [256, 225, 32]-code or 256-arc in PG(30,256)), using Reed–Solomon code RS(225,256)

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(25634, 259, F256, 33) (dual of [259, 225, 34]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25632, 259, F256, 31) (dual of [259, 227, 32]-code) [i]✔
3Linear OA(25636, 261, F256, 34) (dual of [261, 225, 35]-code) [i]✔
4Linear OA(25633, 261, F256, 31) (dual of [261, 228, 32]-code) [i]✔
5Linear OA(25638, 263, F256, 35) (dual of [263, 225, 36]-code) [i]✔
6Linear OA(25634, 263, F256, 31) (dual of [263, 229, 32]-code) [i]✔
7Linear OA(25640, 265, F256, 36) (dual of [265, 225, 37]-code) [i]✔
8Linear OA(25635, 265, F256, 31) (dual of [265, 230, 32]-code) [i]✔
9Linear OA(25642, 267, F256, 37) (dual of [267, 225, 38]-code) [i]✔
10Linear OA(25636, 267, F256, 31) (dual of [267, 231, 32]-code) [i]✔
11Linear OA(25644, 269, F256, 38) (dual of [269, 225, 39]-code) [i]✔
12Linear OA(25637, 269, F256, 31) (dual of [269, 232, 32]-code) [i]✔
13Linear OA(25646, 271, F256, 39) (dual of [271, 225, 40]-code) [i]✔
14Linear OA(25638, 271, F256, 31) (dual of [271, 233, 32]-code) [i]✔
15Linear OA(25648, 273, F256, 40) (dual of [273, 225, 41]-code) [i]✔
16Linear OA(25639, 273, F256, 31) (dual of [273, 234, 32]-code) [i]✔
17Linear OA(25650, 275, F256, 41) (dual of [275, 225, 42]-code) [i]✔
18Linear OA(25640, 275, F256, 31) (dual of [275, 235, 32]-code) [i]✔
19Linear OA(25652, 277, F256, 42) (dual of [277, 225, 43]-code) [i]✔
20Linear OA(25641, 277, F256, 31) (dual of [277, 236, 32]-code) [i]✔
21Linear OA(25654, 279, F256, 43) (dual of [279, 225, 44]-code) [i]✔
22Linear OA(25642, 279, F256, 31) (dual of [279, 237, 32]-code) [i]✔
23Linear OA(25656, 281, F256, 44) (dual of [281, 225, 45]-code) [i]✔
24Linear OA(25643, 281, F256, 31) (dual of [281, 238, 32]-code) [i]✔
25Linear OA(25658, 283, F256, 45) (dual of [283, 225, 46]-code) [i]✔
26Linear OA(25644, 283, F256, 31) (dual of [283, 239, 32]-code) [i]✔
27Linear OA(25660, 285, F256, 46) (dual of [285, 225, 47]-code) [i]✔
28Linear OA(25645, 285, F256, 31) (dual of [285, 240, 32]-code) [i]✔
29Linear OA(25662, 287, F256, 47) (dual of [287, 225, 48]-code) [i]✔
30Linear OA(25646, 287, F256, 31) (dual of [287, 241, 32]-code) [i]✔
31Linear OA(25664, 289, F256, 48) (dual of [289, 225, 49]-code) [i]✔
32Linear OA(25647, 289, F256, 31) (dual of [289, 242, 32]-code) [i]✔
33Linear OA(25666, 291, F256, 49) (dual of [291, 225, 50]-code) [i]✔
34Linear OA(25648, 291, F256, 31) (dual of [291, 243, 32]-code) [i]✔
35Linear OA(25668, 293, F256, 50) (dual of [293, 225, 51]-code) [i]✔
36Linear OA(25649, 293, F256, 31) (dual of [293, 244, 32]-code) [i]✔
37Linear OA(25650, 295, F256, 31) (dual of [295, 245, 32]-code) [i]✔