Information on Result #606745

Linear OA(25622, 256, F256, 22) (dual of [256, 234, 23]-code or 256-arc in PG(21,256)), using Reed–Solomon code RS(234,256)

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(1680, 108, F16, 45) (dual of [108, 28, 46]-code) [i]Concatenation of Two Codes
2Linear OA(1679, 105, F16, 45) (dual of [105, 26, 46]-code) [i]
3Linear OA(1678, 102, F16, 45) (dual of [102, 24, 46]-code) [i]
4Linear OA(25625, 259, F256, 24) (dual of [259, 234, 25]-code) [i]✔Construction X with Reed–Solomon Codes
5Linear OA(25623, 259, F256, 22) (dual of [259, 236, 23]-code) [i]✔
6Linear OA(25627, 261, F256, 25) (dual of [261, 234, 26]-code) [i]✔
7Linear OA(25624, 261, F256, 22) (dual of [261, 237, 23]-code) [i]✔
8Linear OA(25629, 263, F256, 26) (dual of [263, 234, 27]-code) [i]✔
9Linear OA(25625, 263, F256, 22) (dual of [263, 238, 23]-code) [i]✔
10Linear OA(25631, 265, F256, 27) (dual of [265, 234, 28]-code) [i]✔
11Linear OA(25626, 265, F256, 22) (dual of [265, 239, 23]-code) [i]✔
12Linear OA(25633, 267, F256, 28) (dual of [267, 234, 29]-code) [i]✔
13Linear OA(25627, 267, F256, 22) (dual of [267, 240, 23]-code) [i]✔
14Linear OA(25635, 269, F256, 29) (dual of [269, 234, 30]-code) [i]✔
15Linear OA(25628, 269, F256, 22) (dual of [269, 241, 23]-code) [i]✔
16Linear OA(25637, 271, F256, 30) (dual of [271, 234, 31]-code) [i]✔
17Linear OA(25629, 271, F256, 22) (dual of [271, 242, 23]-code) [i]✔
18Linear OA(25639, 273, F256, 31) (dual of [273, 234, 32]-code) [i]✔
19Linear OA(25630, 273, F256, 22) (dual of [273, 243, 23]-code) [i]✔
20Linear OA(25641, 275, F256, 32) (dual of [275, 234, 33]-code) [i]✔
21Linear OA(25631, 275, F256, 22) (dual of [275, 244, 23]-code) [i]✔
22Linear OA(25643, 277, F256, 33) (dual of [277, 234, 34]-code) [i]✔
23Linear OA(25632, 277, F256, 22) (dual of [277, 245, 23]-code) [i]✔
24Linear OA(25645, 279, F256, 34) (dual of [279, 234, 35]-code) [i]✔
25Linear OA(25633, 279, F256, 22) (dual of [279, 246, 23]-code) [i]✔
26Linear OA(25647, 281, F256, 35) (dual of [281, 234, 36]-code) [i]✔
27Linear OA(25634, 281, F256, 22) (dual of [281, 247, 23]-code) [i]✔
28Linear OA(25649, 283, F256, 36) (dual of [283, 234, 37]-code) [i]✔
29Linear OA(25635, 283, F256, 22) (dual of [283, 248, 23]-code) [i]✔
30Linear OA(25651, 285, F256, 37) (dual of [285, 234, 38]-code) [i]✔
31Linear OA(25653, 287, F256, 38) (dual of [287, 234, 39]-code) [i]✔
32Linear OA(25655, 289, F256, 39) (dual of [289, 234, 40]-code) [i]✔
33Linear OA(25657, 291, F256, 40) (dual of [291, 234, 41]-code) [i]✔
34Linear OA(25659, 293, F256, 41) (dual of [293, 234, 42]-code) [i]✔
35Linear OA(25661, 295, F256, 42) (dual of [295, 234, 43]-code) [i]✔
36Linear OA(25663, 297, F256, 43) (dual of [297, 234, 44]-code) [i]✔
37Linear OA(25665, 299, F256, 44) (dual of [299, 234, 45]-code) [i]✔
38Linear OA(25668, 301, F256, 46) (dual of [301, 233, 47]-code) [i]
39Linear OA(25667, 301, F256, 45) (dual of [301, 234, 46]-code) [i]
40Linear OA(25667, 301, F256, 45) (dual of [301, 234, 46]-code) [i]✔
41Linear OA(25666, 301, F256, 44) (dual of [301, 235, 45]-code) [i]
42Linear OA(25665, 301, F256, 43) (dual of [301, 236, 44]-code) [i]
43Linear OA(25664, 301, F256, 42) (dual of [301, 237, 43]-code) [i]
44Linear OA(25663, 301, F256, 41) (dual of [301, 238, 42]-code) [i]
45Linear OA(25662, 301, F256, 40) (dual of [301, 239, 41]-code) [i]
46Linear OA(25661, 301, F256, 39) (dual of [301, 240, 40]-code) [i]
47Linear OA(25660, 301, F256, 38) (dual of [301, 241, 39]-code) [i]
48Linear OA(25659, 301, F256, 37) (dual of [301, 242, 38]-code) [i]
49Linear OA(25658, 301, F256, 36) (dual of [301, 243, 37]-code) [i]
50Linear OA(25657, 301, F256, 35) (dual of [301, 244, 36]-code) [i]