Information on Result #606775

Linear OA(25652, 256, F256, 52) (dual of [256, 204, 53]-code or 256-arc in PG(51,256)), using Reed–Solomon code RS(204,256)

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(25655, 259, F256, 54) (dual of [259, 204, 55]-code) [i]Construction X with Reed–Solomon Codes
2Linear OA(25653, 259, F256, 52) (dual of [259, 206, 53]-code) [i]
3Linear OA(25657, 261, F256, 55) (dual of [261, 204, 56]-code) [i]
4Linear OA(25654, 261, F256, 52) (dual of [261, 207, 53]-code) [i]
5Linear OA(25659, 263, F256, 56) (dual of [263, 204, 57]-code) [i]
6Linear OA(25655, 263, F256, 52) (dual of [263, 208, 53]-code) [i]
7Linear OA(25661, 265, F256, 57) (dual of [265, 204, 58]-code) [i]
8Linear OA(25656, 265, F256, 52) (dual of [265, 209, 53]-code) [i]
9Linear OA(25663, 267, F256, 58) (dual of [267, 204, 59]-code) [i]
10Linear OA(25657, 267, F256, 52) (dual of [267, 210, 53]-code) [i]
11Linear OA(25665, 269, F256, 59) (dual of [269, 204, 60]-code) [i]
12Linear OA(25658, 269, F256, 52) (dual of [269, 211, 53]-code) [i]
13Linear OA(25667, 271, F256, 60) (dual of [271, 204, 61]-code) [i]
14Linear OA(25659, 271, F256, 52) (dual of [271, 212, 53]-code) [i]
15Linear OA(25660, 273, F256, 52) (dual of [273, 213, 53]-code) [i]
16Linear OA(25661, 275, F256, 52) (dual of [275, 214, 53]-code) [i]
17Linear OA(25662, 277, F256, 52) (dual of [277, 215, 53]-code) [i]
18Linear OA(25663, 279, F256, 52) (dual of [279, 216, 53]-code) [i]
19Linear OA(25664, 281, F256, 52) (dual of [281, 217, 53]-code) [i]
20Linear OA(25665, 283, F256, 52) (dual of [283, 218, 53]-code) [i]
21Linear OA(25666, 285, F256, 52) (dual of [285, 219, 53]-code) [i]
22Linear OA(25667, 287, F256, 52) (dual of [287, 220, 53]-code) [i]
23Linear OA(25668, 289, F256, 52) (dual of [289, 221, 53]-code) [i]