Information on Result #606755

Linear OA(25632, 256, F256, 32) (dual of [256, 224, 33]-code or 256-arc in PG(31,256)), using Reed–Solomon code RS(224,256)

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(25635, 259, F256, 34) (dual of [259, 224, 35]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25633, 259, F256, 32) (dual of [259, 226, 33]-code) [i]✔
3Linear OA(25637, 261, F256, 35) (dual of [261, 224, 36]-code) [i]✔
4Linear OA(25634, 261, F256, 32) (dual of [261, 227, 33]-code) [i]✔
5Linear OA(25639, 263, F256, 36) (dual of [263, 224, 37]-code) [i]✔
6Linear OA(25635, 263, F256, 32) (dual of [263, 228, 33]-code) [i]✔
7Linear OA(25641, 265, F256, 37) (dual of [265, 224, 38]-code) [i]✔
8Linear OA(25636, 265, F256, 32) (dual of [265, 229, 33]-code) [i]✔
9Linear OA(25643, 267, F256, 38) (dual of [267, 224, 39]-code) [i]✔
10Linear OA(25637, 267, F256, 32) (dual of [267, 230, 33]-code) [i]✔
11Linear OA(25645, 269, F256, 39) (dual of [269, 224, 40]-code) [i]✔
12Linear OA(25638, 269, F256, 32) (dual of [269, 231, 33]-code) [i]✔
13Linear OA(25647, 271, F256, 40) (dual of [271, 224, 41]-code) [i]✔
14Linear OA(25639, 271, F256, 32) (dual of [271, 232, 33]-code) [i]✔
15Linear OA(25649, 273, F256, 41) (dual of [273, 224, 42]-code) [i]✔
16Linear OA(25640, 273, F256, 32) (dual of [273, 233, 33]-code) [i]✔
17Linear OA(25651, 275, F256, 42) (dual of [275, 224, 43]-code) [i]✔
18Linear OA(25641, 275, F256, 32) (dual of [275, 234, 33]-code) [i]✔
19Linear OA(25653, 277, F256, 43) (dual of [277, 224, 44]-code) [i]✔
20Linear OA(25642, 277, F256, 32) (dual of [277, 235, 33]-code) [i]✔
21Linear OA(25655, 279, F256, 44) (dual of [279, 224, 45]-code) [i]✔
22Linear OA(25643, 279, F256, 32) (dual of [279, 236, 33]-code) [i]✔
23Linear OA(25657, 281, F256, 45) (dual of [281, 224, 46]-code) [i]✔
24Linear OA(25644, 281, F256, 32) (dual of [281, 237, 33]-code) [i]✔
25Linear OA(25659, 283, F256, 46) (dual of [283, 224, 47]-code) [i]✔
26Linear OA(25645, 283, F256, 32) (dual of [283, 238, 33]-code) [i]✔
27Linear OA(25661, 285, F256, 47) (dual of [285, 224, 48]-code) [i]✔
28Linear OA(25646, 285, F256, 32) (dual of [285, 239, 33]-code) [i]✔
29Linear OA(25663, 287, F256, 48) (dual of [287, 224, 49]-code) [i]✔
30Linear OA(25647, 287, F256, 32) (dual of [287, 240, 33]-code) [i]✔
31Linear OA(25665, 289, F256, 49) (dual of [289, 224, 50]-code) [i]✔
32Linear OA(25648, 289, F256, 32) (dual of [289, 241, 33]-code) [i]✔
33Linear OA(25667, 291, F256, 50) (dual of [291, 224, 51]-code) [i]✔
34Linear OA(25649, 291, F256, 32) (dual of [291, 242, 33]-code) [i]✔
35Linear OA(25650, 293, F256, 32) (dual of [293, 243, 33]-code) [i]✔
36Linear OA(25651, 295, F256, 32) (dual of [295, 244, 33]-code) [i]✔
37Linear OA(25652, 297, F256, 32) (dual of [297, 245, 33]-code) [i]✔