Information on Result #623650

Linear OA(3210, 44, F32, 9) (dual of [44, 34, 10]-code), using extended algebraic-geometric code AGe(F,34P) 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(3247, 1069, F32, 19) (dual of [1069, 1022, 20]-code) [i](u, u+v)-Construction
2Linear OA(3265, 32813, F32, 19) (dual of [32813, 32748, 20]-code) [i]
3Linear OA(3283, 1048621, F32, 19) (dual of [1048621, 1048538, 20]-code) [i]
4Linear OA(3245, 1068, F32, 18) (dual of [1068, 1023, 19]-code) [i]
5Linear OA(3262, 32812, F32, 18) (dual of [32812, 32750, 19]-code) [i]
6Linear OA(3279, 1048620, F32, 18) (dual of [1048620, 1048541, 19]-code) [i]
7Linear OA(3214, 77, F32, 9) (dual of [77, 63, 10]-code) [i]
8Linear OA(3247, 1071, F32, 19) (dual of [1071, 1024, 20]-code) [i]
9Linear OA(3248, 1074, F32, 19) (dual of [1074, 1026, 20]-code) [i]
10Linear OA(3265, 32815, F32, 19) (dual of [32815, 32750, 20]-code) [i]
11Linear OA(3266, 32820, F32, 19) (dual of [32820, 32754, 20]-code) [i]
12Linear OA(3283, 1048624, F32, 19) (dual of [1048624, 1048541, 20]-code) [i]
13Linear OA(3284, 1048630, F32, 19) (dual of [1048630, 1048546, 20]-code) [i]
14Linear OA(3245, 1071, F32, 18) (dual of [1071, 1026, 19]-code) [i]
15Linear OA(3246, 1074, F32, 18) (dual of [1074, 1028, 19]-code) [i]
16Linear OA(3262, 32815, F32, 18) (dual of [32815, 32753, 19]-code) [i]
17Linear OA(3263, 32819, F32, 18) (dual of [32819, 32756, 19]-code) [i]
18Linear OA(3279, 1048624, F32, 18) (dual of [1048624, 1048545, 19]-code) [i]
19Linear OA(3280, 1048629, F32, 18) (dual of [1048629, 1048549, 19]-code) [i]
20OA(3287, 2097199, S32, 19) [i]
21Linear OA(3224, 1067, F32, 9) (dual of [1067, 1043, 10]-code) [i]Generalized (u, u+v)-Construction
22Linear OA(3282, 1113, F32, 29) (dual of [1113, 1031, 30]-code) [i](u, u−v, u+v+w)-Construction
23Linear OA(3283, 1115, F32, 29) (dual of [1115, 1032, 30]-code) [i]
24Linear OA(3284, 1133, F32, 29) (dual of [1133, 1049, 30]-code) [i]
25Linear OA(32110, 32857, F32, 29) (dual of [32857, 32747, 30]-code) [i]
26Linear OA(3280, 1112, F32, 28) (dual of [1112, 1032, 29]-code) [i]
27Linear OA(3281, 1114, F32, 28) (dual of [1114, 1033, 29]-code) [i]
28Linear OA(32107, 32856, F32, 28) (dual of [32856, 32749, 29]-code) [i]
29Linear OA(32108, 32858, F32, 28) (dual of [32858, 32750, 29]-code) [i]
30Linear OA(3277, 1113, F32, 27) (dual of [1113, 1036, 28]-code) [i]
31Linear OA(3278, 1115, F32, 27) (dual of [1115, 1037, 28]-code) [i]
32Linear OA(32103, 32857, F32, 27) (dual of [32857, 32754, 28]-code) [i]
33Linear OA(32104, 32859, F32, 27) (dual of [32859, 32755, 28]-code) [i]
34Linear OA(3253, 1102, F32, 19) (dual of [1102, 1049, 20]-code) [i]
35Linear OA(3254, 1113, F32, 19) (dual of [1113, 1059, 20]-code) [i]
36Linear OA(3271, 32846, F32, 19) (dual of [32846, 32775, 20]-code) [i]
37Linear OA(3272, 32857, F32, 19) (dual of [32857, 32785, 20]-code) [i]
38Linear OA(3289, 1048654, F32, 19) (dual of [1048654, 1048565, 20]-code) [i]
39Linear OA(3290, 1048665, F32, 19) (dual of [1048665, 1048575, 20]-code) [i]
40Linear OA(3251, 1101, F32, 18) (dual of [1101, 1050, 19]-code) [i]
41Linear OA(3268, 32845, F32, 18) (dual of [32845, 32777, 19]-code) [i]
42Linear OA(3285, 1048653, F32, 18) (dual of [1048653, 1048568, 19]-code) [i]
43Linear OA(3216, 129, F32, 9) (dual of [129, 113, 10]-code) [i]VarÅ¡amov–Edel Lengthening
44Linear OA(32107, 1048621, F32, 25) (dual of [1048621, 1048514, 26]-code) [i]Construction X with Cyclic Codes
45Linear OA(3299, 1048621, F32, 23) (dual of [1048621, 1048522, 24]-code) [i]
46Linear OA(3291, 1048621, F32, 21) (dual of [1048621, 1048530, 22]-code) [i]