Information on Result #603980

Linear OA(1282, 2, F128, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,128)), using complete OA / dual of code with only one code word

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(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
3Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
4Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
5Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
6Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
7Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
8Linear OA(12825, 256, F128, 17) (dual of [256, 231, 18]-code) [i]
9Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
10Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
11Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
12Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
13Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
14Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
15Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
16Linear OA(12824, 256, F128, 16) (dual of [256, 232, 17]-code) [i]
17Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
18Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
19Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
20Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
21Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
22Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
23Linear OA(12822, 256, F128, 15) (dual of [256, 234, 16]-code) [i]
24Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
25Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
26Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
27Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
28Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
29Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
30Linear OA(12821, 256, F128, 14) (dual of [256, 235, 15]-code) [i]
31Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
32Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
33Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
34Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
35Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
36Linear OA(12819, 256, F128, 13) (dual of [256, 237, 14]-code) [i]
37Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
38Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
39Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
40Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
41Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
42Linear OA(12818, 256, F128, 12) (dual of [256, 238, 13]-code) [i]
43Linear OA(12816, 256, F128, 11) (dual of [256, 240, 12]-code) [i]
44Linear OA(12816, 256, F128, 11) (dual of [256, 240, 12]-code) [i]
45Linear OA(12816, 256, F128, 11) (dual of [256, 240, 12]-code) [i]
46Linear OA(12816, 256, F128, 11) (dual of [256, 240, 12]-code) [i]
47Linear OA(12816, 256, F128, 11) (dual of [256, 240, 12]-code) [i]
48Linear OA(12815, 256, F128, 10) (dual of [256, 241, 11]-code) [i]
49Linear OA(12815, 256, F128, 10) (dual of [256, 241, 11]-code) [i]
50Linear OA(12815, 256, F128, 10) (dual of [256, 241, 11]-code) [i]
51Linear OA(12815, 256, F128, 10) (dual of [256, 241, 11]-code) [i]
52Linear OA(12815, 256, F128, 10) (dual of [256, 241, 11]-code) [i]
53Linear OA(12813, 256, F128, 9) (dual of [256, 243, 10]-code) [i]
54Linear OA(12813, 256, F128, 9) (dual of [256, 243, 10]-code) [i]
55Linear OA(12813, 256, F128, 9) (dual of [256, 243, 10]-code) [i]
56Linear OA(12813, 256, F128, 9) (dual of [256, 243, 10]-code) [i]
57Linear OA(12812, 256, F128, 8) (dual of [256, 244, 9]-code) [i]
58Linear OA(12812, 256, F128, 8) (dual of [256, 244, 9]-code) [i]
59Linear OA(12812, 256, F128, 8) (dual of [256, 244, 9]-code) [i]
60Linear OA(12812, 256, F128, 8) (dual of [256, 244, 9]-code) [i]
61Linear OA(12810, 256, F128, 7) (dual of [256, 246, 8]-code) [i]
62Linear OA(12810, 256, F128, 7) (dual of [256, 246, 8]-code) [i]
63Linear OA(12810, 256, F128, 7) (dual of [256, 246, 8]-code) [i]
64Linear OA(1289, 256, F128, 6) (dual of [256, 247, 7]-code) [i]
65Linear OA(1289, 256, F128, 6) (dual of [256, 247, 7]-code) [i]
66Linear OA(1289, 256, F128, 6) (dual of [256, 247, 7]-code) [i]