Information on Result #606747

Linear OA(25624, 256, F256, 24) (dual of [256, 232, 25]-code or 256-arc in PG(23,256)), using Reed–Solomon code RS(232,256)

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(25627, 259, F256, 26) (dual of [259, 232, 27]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25625, 259, F256, 24) (dual of [259, 234, 25]-code) [i]✔
3Linear OA(25629, 261, F256, 27) (dual of [261, 232, 28]-code) [i]✔
4Linear OA(25626, 261, F256, 24) (dual of [261, 235, 25]-code) [i]✔
5Linear OA(25631, 263, F256, 28) (dual of [263, 232, 29]-code) [i]✔
6Linear OA(25627, 263, F256, 24) (dual of [263, 236, 25]-code) [i]✔
7Linear OA(25633, 265, F256, 29) (dual of [265, 232, 30]-code) [i]✔
8Linear OA(25628, 265, F256, 24) (dual of [265, 237, 25]-code) [i]✔
9Linear OA(25635, 267, F256, 30) (dual of [267, 232, 31]-code) [i]✔
10Linear OA(25629, 267, F256, 24) (dual of [267, 238, 25]-code) [i]✔
11Linear OA(25637, 269, F256, 31) (dual of [269, 232, 32]-code) [i]✔
12Linear OA(25630, 269, F256, 24) (dual of [269, 239, 25]-code) [i]✔
13Linear OA(25639, 271, F256, 32) (dual of [271, 232, 33]-code) [i]✔
14Linear OA(25631, 271, F256, 24) (dual of [271, 240, 25]-code) [i]✔
15Linear OA(25641, 273, F256, 33) (dual of [273, 232, 34]-code) [i]✔
16Linear OA(25632, 273, F256, 24) (dual of [273, 241, 25]-code) [i]✔
17Linear OA(25643, 275, F256, 34) (dual of [275, 232, 35]-code) [i]✔
18Linear OA(25633, 275, F256, 24) (dual of [275, 242, 25]-code) [i]✔
19Linear OA(25645, 277, F256, 35) (dual of [277, 232, 36]-code) [i]✔
20Linear OA(25634, 277, F256, 24) (dual of [277, 243, 25]-code) [i]✔
21Linear OA(25647, 279, F256, 36) (dual of [279, 232, 37]-code) [i]✔
22Linear OA(25635, 279, F256, 24) (dual of [279, 244, 25]-code) [i]✔
23Linear OA(25649, 281, F256, 37) (dual of [281, 232, 38]-code) [i]✔
24Linear OA(25636, 281, F256, 24) (dual of [281, 245, 25]-code) [i]✔
25Linear OA(25651, 283, F256, 38) (dual of [283, 232, 39]-code) [i]✔
26Linear OA(25637, 283, F256, 24) (dual of [283, 246, 25]-code) [i]✔
27Linear OA(25653, 285, F256, 39) (dual of [285, 232, 40]-code) [i]✔
28Linear OA(25638, 285, F256, 24) (dual of [285, 247, 25]-code) [i]✔
29Linear OA(25655, 287, F256, 40) (dual of [287, 232, 41]-code) [i]✔
30Linear OA(25639, 287, F256, 24) (dual of [287, 248, 25]-code) [i]✔
31Linear OA(25657, 289, F256, 41) (dual of [289, 232, 42]-code) [i]✔
32Linear OA(25659, 291, F256, 42) (dual of [291, 232, 43]-code) [i]✔
33Linear OA(25661, 293, F256, 43) (dual of [293, 232, 44]-code) [i]✔
34Linear OA(25663, 295, F256, 44) (dual of [295, 232, 45]-code) [i]✔
35Linear OA(25665, 297, F256, 45) (dual of [297, 232, 46]-code) [i]✔
36Linear OA(25667, 299, F256, 46) (dual of [299, 232, 47]-code) [i]✔
37Linear OA(25668, 305, F256, 44) (dual of [305, 237, 45]-code) [i]
38Linear OA(25667, 305, F256, 43) (dual of [305, 238, 44]-code) [i]
39Linear OA(25666, 305, F256, 42) (dual of [305, 239, 43]-code) [i]
40Linear OA(25665, 305, F256, 41) (dual of [305, 240, 42]-code) [i]
41Linear OA(25664, 305, F256, 40) (dual of [305, 241, 41]-code) [i]
42Linear OA(25663, 305, F256, 39) (dual of [305, 242, 40]-code) [i]
43Linear OA(25662, 305, F256, 38) (dual of [305, 243, 39]-code) [i]
44Linear OA(25665, 306, F256, 41) (dual of [306, 241, 42]-code) [i]Construction X with Algebraic-Geometric Codes
45Linear OA(25668, 306, F256, 44) (dual of [306, 238, 45]-code) [i]
46Linear OA(25663, 306, F256, 39) (dual of [306, 243, 40]-code) [i]
47Linear OA(25667, 306, F256, 43) (dual of [306, 239, 44]-code) [i]
48Linear OA(25662, 306, F256, 38) (dual of [306, 244, 39]-code) [i]
49Linear OA(25666, 306, F256, 42) (dual of [306, 240, 43]-code) [i]
50Linear OA(25664, 306, F256, 40) (dual of [306, 242, 41]-code) [i]