Information on Result #606748

Linear OA(25625, 256, F256, 25) (dual of [256, 231, 26]-code or 256-arc in PG(24,256)), using Reed–Solomon code RS(231,256)

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(25628, 259, F256, 27) (dual of [259, 231, 28]-code) [i]✔Construction X with Reed–Solomon Codes
2Linear OA(25626, 259, F256, 25) (dual of [259, 233, 26]-code) [i]✔
3Linear OA(25630, 261, F256, 28) (dual of [261, 231, 29]-code) [i]✔
4Linear OA(25627, 261, F256, 25) (dual of [261, 234, 26]-code) [i]✔
5Linear OA(25632, 263, F256, 29) (dual of [263, 231, 30]-code) [i]✔
6Linear OA(25628, 263, F256, 25) (dual of [263, 235, 26]-code) [i]✔
7Linear OA(25634, 265, F256, 30) (dual of [265, 231, 31]-code) [i]✔
8Linear OA(25629, 265, F256, 25) (dual of [265, 236, 26]-code) [i]✔
9Linear OA(25636, 267, F256, 31) (dual of [267, 231, 32]-code) [i]✔
10Linear OA(25630, 267, F256, 25) (dual of [267, 237, 26]-code) [i]✔
11Linear OA(25638, 269, F256, 32) (dual of [269, 231, 33]-code) [i]✔
12Linear OA(25631, 269, F256, 25) (dual of [269, 238, 26]-code) [i]✔
13Linear OA(25640, 271, F256, 33) (dual of [271, 231, 34]-code) [i]✔
14Linear OA(25632, 271, F256, 25) (dual of [271, 239, 26]-code) [i]✔
15Linear OA(25642, 273, F256, 34) (dual of [273, 231, 35]-code) [i]✔
16Linear OA(25633, 273, F256, 25) (dual of [273, 240, 26]-code) [i]✔
17Linear OA(25644, 275, F256, 35) (dual of [275, 231, 36]-code) [i]✔
18Linear OA(25634, 275, F256, 25) (dual of [275, 241, 26]-code) [i]✔
19Linear OA(25646, 277, F256, 36) (dual of [277, 231, 37]-code) [i]✔
20Linear OA(25635, 277, F256, 25) (dual of [277, 242, 26]-code) [i]✔
21Linear OA(25648, 279, F256, 37) (dual of [279, 231, 38]-code) [i]✔
22Linear OA(25636, 279, F256, 25) (dual of [279, 243, 26]-code) [i]✔
23Linear OA(25650, 281, F256, 38) (dual of [281, 231, 39]-code) [i]✔
24Linear OA(25637, 281, F256, 25) (dual of [281, 244, 26]-code) [i]✔
25Linear OA(25652, 283, F256, 39) (dual of [283, 231, 40]-code) [i]✔
26Linear OA(25638, 283, F256, 25) (dual of [283, 245, 26]-code) [i]✔
27Linear OA(25654, 285, F256, 40) (dual of [285, 231, 41]-code) [i]✔
28Linear OA(25639, 285, F256, 25) (dual of [285, 246, 26]-code) [i]✔
29Linear OA(25656, 287, F256, 41) (dual of [287, 231, 42]-code) [i]✔
30Linear OA(25640, 287, F256, 25) (dual of [287, 247, 26]-code) [i]✔
31Linear OA(25658, 289, F256, 42) (dual of [289, 231, 43]-code) [i]✔
32Linear OA(25660, 291, F256, 43) (dual of [291, 231, 44]-code) [i]✔
33Linear OA(25662, 293, F256, 44) (dual of [293, 231, 45]-code) [i]✔
34Linear OA(25664, 295, F256, 45) (dual of [295, 231, 46]-code) [i]✔
35Linear OA(25666, 297, F256, 46) (dual of [297, 231, 47]-code) [i]✔
36Linear OA(25668, 299, F256, 47) (dual of [299, 231, 48]-code) [i]✔
37Linear OA(25668, 307, F256, 43) (dual of [307, 239, 44]-code) [i]
38Linear OA(25667, 307, F256, 42) (dual of [307, 240, 43]-code) [i]
39Linear OA(25666, 307, F256, 41) (dual of [307, 241, 42]-code) [i]
40Linear OA(25665, 307, F256, 40) (dual of [307, 242, 41]-code) [i]
41Linear OA(25664, 307, F256, 39) (dual of [307, 243, 40]-code) [i]
42Linear OA(25667, 308, F256, 42) (dual of [308, 241, 43]-code) [i]Construction X with Algebraic-Geometric Codes
43Linear OA(25665, 308, F256, 40) (dual of [308, 243, 41]-code) [i]
44Linear OA(25668, 308, F256, 43) (dual of [308, 240, 44]-code) [i]
45Linear OA(25666, 308, F256, 41) (dual of [308, 242, 42]-code) [i]
46Linear OA(25664, 308, F256, 39) (dual of [308, 244, 40]-code) [i]