Information on Result #623652

Linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using extended algebraic-geometric code AGe(F,32P) based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using

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(3242, 142, F32, 23) (dual of [142, 100, 24]-code) [i](u, u+v)-Construction
2Linear OA(3257, 1069, F32, 23) (dual of [1069, 1012, 24]-code) [i]
3Linear OA(3279, 32813, F32, 23) (dual of [32813, 32734, 24]-code) [i]
4Linear OA(32101, 1048621, F32, 23) (dual of [1048621, 1048520, 24]-code) [i]
5Linear OA(3255, 1068, F32, 22) (dual of [1068, 1013, 23]-code) [i]
6Linear OA(3276, 32812, F32, 22) (dual of [32812, 32736, 23]-code) [i]
7Linear OA(3297, 1048620, F32, 22) (dual of [1048620, 1048523, 23]-code) [i]
8Linear OA(3257, 1071, F32, 23) (dual of [1071, 1014, 24]-code) [i]
9Linear OA(3258, 1074, F32, 23) (dual of [1074, 1016, 24]-code) [i]
10Linear OA(3279, 32815, F32, 23) (dual of [32815, 32736, 24]-code) [i]
11Linear OA(3280, 32820, F32, 23) (dual of [32820, 32740, 24]-code) [i]
12Linear OA(3255, 1071, F32, 22) (dual of [1071, 1016, 23]-code) [i]
13Linear OA(3256, 1074, F32, 22) (dual of [1074, 1018, 23]-code) [i]
14Linear OA(3276, 32815, F32, 22) (dual of [32815, 32739, 23]-code) [i]
15Linear OA(3277, 32819, F32, 22) (dual of [32819, 32742, 23]-code) [i]
16OA(32106, 2097199, S32, 23) [i]
17Linear OA(3230, 1067, F32, 11) (dual of [1067, 1037, 12]-code) [i]Generalized (u, u+v)-Construction
18Linear OA(3296, 1112, F32, 35) (dual of [1112, 1016, 36]-code) [i](u, u−v, u+v+w)-Construction
19Linear OA(3297, 1114, F32, 35) (dual of [1114, 1017, 36]-code) [i]
20Linear OA(3298, 1132, F32, 35) (dual of [1132, 1034, 36]-code) [i]
21Linear OA(3294, 1113, F32, 34) (dual of [1113, 1019, 35]-code) [i]
22Linear OA(3295, 1115, F32, 34) (dual of [1115, 1020, 35]-code) [i]
23Linear OA(3296, 1133, F32, 34) (dual of [1133, 1037, 35]-code) [i]
24Linear OA(3292, 1112, F32, 33) (dual of [1112, 1020, 34]-code) [i]
25Linear OA(3293, 1114, F32, 33) (dual of [1114, 1021, 34]-code) [i]
26Linear OA(3264, 1102, F32, 23) (dual of [1102, 1038, 24]-code) [i]
27Linear OA(3265, 1113, F32, 23) (dual of [1113, 1048, 24]-code) [i]
28Linear OA(3286, 32846, F32, 23) (dual of [32846, 32760, 24]-code) [i]
29Linear OA(3287, 32857, F32, 23) (dual of [32857, 32770, 24]-code) [i]
30Linear OA(32108, 1048654, F32, 23) (dual of [1048654, 1048546, 24]-code) [i]
31Linear OA(32109, 1048665, F32, 23) (dual of [1048665, 1048556, 24]-code) [i]
32Linear OA(3262, 1101, F32, 22) (dual of [1101, 1039, 23]-code) [i]
33Linear OA(3263, 1112, F32, 22) (dual of [1112, 1049, 23]-code) [i]
34Linear OA(3283, 32845, F32, 22) (dual of [32845, 32762, 23]-code) [i]
35Linear OA(3284, 32856, F32, 22) (dual of [32856, 32772, 23]-code) [i]
36Linear OA(32104, 1048653, F32, 22) (dual of [1048653, 1048549, 23]-code) [i]
37Linear OA(32105, 1048664, F32, 22) (dual of [1048664, 1048559, 23]-code) [i]
38Linear OA(3220, 110, F32, 11) (dual of [110, 90, 12]-code) [i]
39Linear OA(32109, 32813, F32, 33) (dual of [32813, 32704, 34]-code) [i]Construction X with Cyclic Codes
40Linear OA(32103, 32813, F32, 31) (dual of [32813, 32710, 32]-code) [i]
41Linear OA(3297, 32813, F32, 29) (dual of [32813, 32716, 30]-code) [i]
42Linear OA(3291, 32813, F32, 27) (dual of [32813, 32722, 28]-code) [i]
43Linear OA(3285, 32813, F32, 25) (dual of [32813, 32728, 26]-code) [i]
44Linear OA(32109, 32812, F32, 34) (dual of [32812, 32703, 35]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
45Linear OA(32106, 32812, F32, 33) (dual of [32812, 32706, 34]-code) [i]