Information on Result #606760

Linear OA(25637, 256, F256, 37) (dual of [256, 219, 38]-code or 256-arc in PG(36,256)), using Reed–Solomon code RS(219,256)

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(4260, 560, F4, 75) (dual of [560, 300, 76]-code) [i]Concatenation of Two Codes
2Linear OA(4259, 555, F4, 75) (dual of [555, 296, 76]-code) [i]
3Linear OA(4258, 550, F4, 75) (dual of [550, 292, 76]-code) [i]
4Linear OA(4257, 545, F4, 75) (dual of [545, 288, 76]-code) [i]
5Linear OA(4245, 485, F4, 75) (dual of [485, 240, 76]-code) [i]
6Linear OA(4244, 480, F4, 75) (dual of [480, 236, 76]-code) [i]
7Linear OA(4243, 475, F4, 75) (dual of [475, 232, 76]-code) [i]
8Linear OA(4242, 470, F4, 75) (dual of [470, 228, 76]-code) [i]
9Linear OA(4241, 465, F4, 75) (dual of [465, 224, 76]-code) [i]
10Linear OA(25640, 259, F256, 39) (dual of [259, 219, 40]-code) [i]✔Construction X with Reed–Solomon Codes
11Linear OA(25638, 259, F256, 37) (dual of [259, 221, 38]-code) [i]✔
12Linear OA(25642, 261, F256, 40) (dual of [261, 219, 41]-code) [i]✔
13Linear OA(25639, 261, F256, 37) (dual of [261, 222, 38]-code) [i]✔
14Linear OA(25644, 263, F256, 41) (dual of [263, 219, 42]-code) [i]✔
15Linear OA(25640, 263, F256, 37) (dual of [263, 223, 38]-code) [i]✔
16Linear OA(25646, 265, F256, 42) (dual of [265, 219, 43]-code) [i]✔
17Linear OA(25641, 265, F256, 37) (dual of [265, 224, 38]-code) [i]✔
18Linear OA(25648, 267, F256, 43) (dual of [267, 219, 44]-code) [i]✔
19Linear OA(25642, 267, F256, 37) (dual of [267, 225, 38]-code) [i]✔
20Linear OA(25650, 269, F256, 44) (dual of [269, 219, 45]-code) [i]✔
21Linear OA(25643, 269, F256, 37) (dual of [269, 226, 38]-code) [i]✔
22Linear OA(25652, 271, F256, 45) (dual of [271, 219, 46]-code) [i]✔
23Linear OA(25644, 271, F256, 37) (dual of [271, 227, 38]-code) [i]✔
24Linear OA(25654, 273, F256, 46) (dual of [273, 219, 47]-code) [i]✔
25Linear OA(25645, 273, F256, 37) (dual of [273, 228, 38]-code) [i]✔
26Linear OA(25656, 275, F256, 47) (dual of [275, 219, 48]-code) [i]✔
27Linear OA(25646, 275, F256, 37) (dual of [275, 229, 38]-code) [i]✔
28Linear OA(25658, 277, F256, 48) (dual of [277, 219, 49]-code) [i]✔
29Linear OA(25647, 277, F256, 37) (dual of [277, 230, 38]-code) [i]✔
30Linear OA(25660, 279, F256, 49) (dual of [279, 219, 50]-code) [i]✔
31Linear OA(25648, 279, F256, 37) (dual of [279, 231, 38]-code) [i]✔
32Linear OA(25662, 281, F256, 50) (dual of [281, 219, 51]-code) [i]✔
33Linear OA(25649, 281, F256, 37) (dual of [281, 232, 38]-code) [i]✔
34Linear OA(25664, 283, F256, 51) (dual of [283, 219, 52]-code) [i]✔
35Linear OA(25650, 283, F256, 37) (dual of [283, 233, 38]-code) [i]✔
36Linear OA(25666, 285, F256, 52) (dual of [285, 219, 53]-code) [i]✔
37Linear OA(25651, 285, F256, 37) (dual of [285, 234, 38]-code) [i]✔
38Linear OA(25668, 287, F256, 53) (dual of [287, 219, 54]-code) [i]✔
39Linear OA(25652, 287, F256, 37) (dual of [287, 235, 38]-code) [i]✔
40Linear OA(25653, 289, F256, 37) (dual of [289, 236, 38]-code) [i]✔
41Linear OA(25654, 291, F256, 37) (dual of [291, 237, 38]-code) [i]✔
42Linear OA(25655, 293, F256, 37) (dual of [293, 238, 38]-code) [i]✔
43Linear OA(25656, 295, F256, 37) (dual of [295, 239, 38]-code) [i]✔
44Linear OA(25657, 297, F256, 37) (dual of [297, 240, 38]-code) [i]✔
45Linear OA(25658, 299, F256, 37) (dual of [299, 241, 38]-code) [i]✔
46Linear OA(25659, 301, F256, 37) (dual of [301, 242, 38]-code) [i]✔
47Linear OA(25660, 303, F256, 37) (dual of [303, 243, 38]-code) [i]✔