Information on Result #606733

Linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using Reed–Solomon code RS(246,256)

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 OOA(4124, 70, F4, 2, 76) (dual of [(70, 2), 16, 77]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OA(25613, 259, F256, 12) (dual of [259, 246, 13]-code) [i]✔Construction X with Reed–Solomon Codes
3Linear OA(25611, 259, F256, 10) (dual of [259, 248, 11]-code) [i]✔
4Linear OA(25615, 261, F256, 13) (dual of [261, 246, 14]-code) [i]✔
5Linear OA(25612, 261, F256, 10) (dual of [261, 249, 11]-code) [i]✔
6Linear OA(25617, 263, F256, 14) (dual of [263, 246, 15]-code) [i]✔
7Linear OA(25613, 263, F256, 10) (dual of [263, 250, 11]-code) [i]✔
8Linear OA(25619, 265, F256, 15) (dual of [265, 246, 16]-code) [i]✔
9Linear OA(25614, 265, F256, 10) (dual of [265, 251, 11]-code) [i]✔
10Linear OA(25621, 267, F256, 16) (dual of [267, 246, 17]-code) [i]✔
11Linear OA(25615, 267, F256, 10) (dual of [267, 252, 11]-code) [i]✔
12Linear OA(25623, 269, F256, 17) (dual of [269, 246, 18]-code) [i]✔
13Linear OA(25625, 271, F256, 18) (dual of [271, 246, 19]-code) [i]✔
14Linear OA(25627, 273, F256, 19) (dual of [273, 246, 20]-code) [i]✔
15Linear OA(25629, 275, F256, 20) (dual of [275, 246, 21]-code) [i]✔
16Linear OA(25668, 277, F256, 58) (dual of [277, 209, 59]-code) [i]
17Linear OA(25667, 277, F256, 57) (dual of [277, 210, 58]-code) [i]
18Linear OA(25666, 277, F256, 56) (dual of [277, 211, 57]-code) [i]
19Linear OA(25665, 277, F256, 55) (dual of [277, 212, 56]-code) [i]
20Linear OA(25664, 277, F256, 54) (dual of [277, 213, 55]-code) [i]
21Linear OA(25663, 277, F256, 53) (dual of [277, 214, 54]-code) [i]
22Linear OA(25662, 277, F256, 52) (dual of [277, 215, 53]-code) [i]
23Linear OA(25661, 277, F256, 51) (dual of [277, 216, 52]-code) [i]
24Linear OA(25660, 277, F256, 50) (dual of [277, 217, 51]-code) [i]
25Linear OA(25659, 277, F256, 49) (dual of [277, 218, 50]-code) [i]
26Linear OA(25658, 277, F256, 48) (dual of [277, 219, 49]-code) [i]
27Linear OA(25657, 277, F256, 47) (dual of [277, 220, 48]-code) [i]
28Linear OA(25656, 277, F256, 46) (dual of [277, 221, 47]-code) [i]
29Linear OA(25655, 277, F256, 45) (dual of [277, 222, 46]-code) [i]
30Linear OA(25654, 277, F256, 44) (dual of [277, 223, 45]-code) [i]
31Linear OA(25653, 277, F256, 43) (dual of [277, 224, 44]-code) [i]
32Linear OA(25652, 277, F256, 42) (dual of [277, 225, 43]-code) [i]
33Linear OA(25651, 277, F256, 41) (dual of [277, 226, 42]-code) [i]
34Linear OA(25650, 277, F256, 40) (dual of [277, 227, 41]-code) [i]
35Linear OA(25649, 277, F256, 39) (dual of [277, 228, 40]-code) [i]
36Linear OA(25648, 277, F256, 38) (dual of [277, 229, 39]-code) [i]
37Linear OA(25647, 277, F256, 37) (dual of [277, 230, 38]-code) [i]
38Linear OA(25646, 277, F256, 36) (dual of [277, 231, 37]-code) [i]
39Linear OA(25645, 277, F256, 35) (dual of [277, 232, 36]-code) [i]
40Linear OA(25644, 277, F256, 34) (dual of [277, 233, 35]-code) [i]
41Linear OA(25643, 277, F256, 33) (dual of [277, 234, 34]-code) [i]
42Linear OA(25642, 277, F256, 32) (dual of [277, 235, 33]-code) [i]
43Linear OA(25641, 277, F256, 31) (dual of [277, 236, 32]-code) [i]
44Linear OA(25640, 277, F256, 30) (dual of [277, 237, 31]-code) [i]
45Linear OA(25639, 277, F256, 29) (dual of [277, 238, 30]-code) [i]
46Linear OA(25638, 277, F256, 28) (dual of [277, 239, 29]-code) [i]
47Linear OA(25637, 277, F256, 27) (dual of [277, 240, 28]-code) [i]
48Linear OA(25636, 277, F256, 26) (dual of [277, 241, 27]-code) [i]
49Linear OA(25635, 277, F256, 25) (dual of [277, 242, 26]-code) [i]
50Linear OA(25634, 277, F256, 24) (dual of [277, 243, 25]-code) [i]
51Linear OA(25633, 277, F256, 23) (dual of [277, 244, 24]-code) [i]
52Linear OA(25632, 277, F256, 22) (dual of [277, 245, 23]-code) [i]
53Linear OA(25631, 277, F256, 21) (dual of [277, 246, 22]-code) [i]
54Linear OA(25631, 277, F256, 21) (dual of [277, 246, 22]-code) [i]✔
55Linear OA(25630, 277, F256, 20) (dual of [277, 247, 21]-code) [i]
56Linear OA(25629, 277, F256, 19) (dual of [277, 248, 20]-code) [i]
57Linear OA(25628, 277, F256, 18) (dual of [277, 249, 19]-code) [i]
58Linear OA(25627, 277, F256, 17) (dual of [277, 250, 18]-code) [i]
59Linear OA(25633, 279, F256, 22) (dual of [279, 246, 23]-code) [i]✔
60Linear OA(25635, 281, F256, 23) (dual of [281, 246, 24]-code) [i]✔
61Linear OA(25637, 283, F256, 24) (dual of [283, 246, 25]-code) [i]✔
62Linear OA(25639, 285, F256, 25) (dual of [285, 246, 26]-code) [i]✔
63Linear OA(25641, 287, F256, 26) (dual of [287, 246, 27]-code) [i]✔
64Linear OA(25643, 289, F256, 27) (dual of [289, 246, 28]-code) [i]✔
65Linear OA(25645, 291, F256, 28) (dual of [291, 246, 29]-code) [i]✔
66Linear OA(25647, 293, F256, 29) (dual of [293, 246, 30]-code) [i]✔
67Linear OA(25649, 295, F256, 30) (dual of [295, 246, 31]-code) [i]✔
68Linear OA(25668, 533, F256, 50) (dual of [533, 465, 51]-code) [i]Construction X with Algebraic-Geometric Codes
69Linear OA(25667, 533, F256, 49) (dual of [533, 466, 50]-code) [i]
70Linear OA(25666, 533, F256, 48) (dual of [533, 467, 49]-code) [i]
71Linear OA(25665, 533, F256, 47) (dual of [533, 468, 48]-code) [i]
72Linear OA(25664, 533, F256, 46) (dual of [533, 469, 47]-code) [i]
73Linear OA(25663, 533, F256, 45) (dual of [533, 470, 46]-code) [i]
74Linear OA(25662, 533, F256, 44) (dual of [533, 471, 45]-code) [i]
75Linear OA(25661, 533, F256, 43) (dual of [533, 472, 44]-code) [i]
76Linear OA(25660, 533, F256, 42) (dual of [533, 473, 43]-code) [i]
77Linear OA(25659, 533, F256, 41) (dual of [533, 474, 42]-code) [i]
78Linear OA(25658, 533, F256, 40) (dual of [533, 475, 41]-code) [i]
79Linear OA(25657, 533, F256, 39) (dual of [533, 476, 40]-code) [i]
80Linear OA(25656, 533, F256, 38) (dual of [533, 477, 39]-code) [i]
81Linear OA(25655, 533, F256, 37) (dual of [533, 478, 38]-code) [i]
82Linear OA(25654, 533, F256, 36) (dual of [533, 479, 37]-code) [i]
83Linear OA(25653, 533, F256, 35) (dual of [533, 480, 36]-code) [i]
84Linear OA(25652, 533, F256, 34) (dual of [533, 481, 35]-code) [i]
85Linear OA(25651, 533, F256, 33) (dual of [533, 482, 34]-code) [i]
86Linear OA(25650, 533, F256, 32) (dual of [533, 483, 33]-code) [i]
87Linear OA(25649, 533, F256, 31) (dual of [533, 484, 32]-code) [i]
88Linear OA(25648, 533, F256, 30) (dual of [533, 485, 31]-code) [i]
89Linear OA(25647, 533, F256, 29) (dual of [533, 486, 30]-code) [i]
90Linear OA(25667, 65568, F256, 29) (dual of [65568, 65501, 30]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
91Linear OA(25665, 65568, F256, 28) (dual of [65568, 65503, 29]-code) [i]
92Linear OA(25663, 65568, F256, 27) (dual of [65568, 65505, 28]-code) [i]
93Linear OA(25661, 65568, F256, 26) (dual of [65568, 65507, 27]-code) [i]
94Linear OA(25659, 65568, F256, 25) (dual of [65568, 65509, 26]-code) [i]
95Linear OA(25657, 65568, F256, 24) (dual of [65568, 65511, 25]-code) [i]
96Linear OA(25655, 65568, F256, 23) (dual of [65568, 65513, 24]-code) [i]
97Linear OA(25653, 65568, F256, 22) (dual of [65568, 65515, 23]-code) [i]