Information on Result #623651

Linear OA(3211, 44, F32, 10) (dual of [44, 33, 11]-code), using extended algebraic-geometric code AGe(F,33P) 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(3252, 1069, F32, 21) (dual of [1069, 1017, 22]-code) [i](u, u+v)-Construction
2Linear OA(3272, 32813, F32, 21) (dual of [32813, 32741, 22]-code) [i]
3Linear OA(3292, 1048621, F32, 21) (dual of [1048621, 1048529, 22]-code) [i]
4Linear OA(3250, 1068, F32, 20) (dual of [1068, 1018, 21]-code) [i]
5Linear OA(3269, 32812, F32, 20) (dual of [32812, 32743, 21]-code) [i]
6Linear OA(3288, 1048620, F32, 20) (dual of [1048620, 1048532, 21]-code) [i]
7Linear OA(3252, 1071, F32, 21) (dual of [1071, 1019, 22]-code) [i]
8Linear OA(3253, 1074, F32, 21) (dual of [1074, 1021, 22]-code) [i]
9Linear OA(3272, 32815, F32, 21) (dual of [32815, 32743, 22]-code) [i]
10Linear OA(3273, 32820, F32, 21) (dual of [32820, 32747, 22]-code) [i]
11Linear OA(3292, 1048624, F32, 21) (dual of [1048624, 1048532, 22]-code) [i]
12Linear OA(3293, 1048630, F32, 21) (dual of [1048630, 1048537, 22]-code) [i]
13Linear OA(3250, 1071, F32, 20) (dual of [1071, 1021, 21]-code) [i]
14Linear OA(3251, 1074, F32, 20) (dual of [1074, 1023, 21]-code) [i]
15Linear OA(3269, 32815, F32, 20) (dual of [32815, 32746, 21]-code) [i]
16Linear OA(3270, 32819, F32, 20) (dual of [32819, 32749, 21]-code) [i]
17Linear OA(3288, 1048624, F32, 20) (dual of [1048624, 1048536, 21]-code) [i]
18Linear OA(3289, 1048629, F32, 20) (dual of [1048629, 1048540, 21]-code) [i]
19OA(3297, 2097199, S32, 21) [i]
20Linear OA(3290, 1111, F32, 32) (dual of [1111, 1021, 33]-code) [i](u, u−v, u+v+w)-Construction
21Linear OA(3291, 1113, F32, 32) (dual of [1113, 1022, 33]-code) [i]
22Linear OA(3292, 1131, F32, 32) (dual of [1131, 1039, 33]-code) [i]
23Linear OA(3288, 1113, F32, 31) (dual of [1113, 1025, 32]-code) [i]
24Linear OA(3289, 1115, F32, 31) (dual of [1115, 1026, 32]-code) [i]
25Linear OA(3290, 1133, F32, 31) (dual of [1133, 1043, 32]-code) [i]
26Linear OA(3286, 1112, F32, 30) (dual of [1112, 1026, 31]-code) [i]
27Linear OA(3287, 1114, F32, 30) (dual of [1114, 1027, 31]-code) [i]
28Linear OA(3259, 1102, F32, 21) (dual of [1102, 1043, 22]-code) [i]
29Linear OA(3260, 1113, F32, 21) (dual of [1113, 1053, 22]-code) [i]
30Linear OA(3279, 32846, F32, 21) (dual of [32846, 32767, 22]-code) [i]
31Linear OA(3280, 32857, F32, 21) (dual of [32857, 32777, 22]-code) [i]
32Linear OA(3299, 1048654, F32, 21) (dual of [1048654, 1048555, 22]-code) [i]
33Linear OA(32100, 1048665, F32, 21) (dual of [1048665, 1048565, 22]-code) [i]
34Linear OA(3256, 1101, F32, 20) (dual of [1101, 1045, 21]-code) [i]
35Linear OA(3257, 1112, F32, 20) (dual of [1112, 1055, 21]-code) [i]
36Linear OA(3275, 32845, F32, 20) (dual of [32845, 32770, 21]-code) [i]
37Linear OA(3276, 32856, F32, 20) (dual of [32856, 32780, 21]-code) [i]
38Linear OA(3294, 1048653, F32, 20) (dual of [1048653, 1048559, 21]-code) [i]
39Linear OA(3295, 1048664, F32, 20) (dual of [1048664, 1048569, 21]-code) [i]
40Linear OA(32108, 32813, F32, 32) (dual of [32813, 32705, 33]-code) [i]Construction X with Cyclic Codes
41Linear OA(32102, 32813, F32, 30) (dual of [32813, 32711, 31]-code) [i]
42Linear OA(3296, 32813, F32, 28) (dual of [32813, 32717, 29]-code) [i]
43Linear OA(3290, 32813, F32, 26) (dual of [32813, 32723, 27]-code) [i]
44Linear OA(32105, 32812, F32, 32) (dual of [32812, 32707, 33]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
45Linear OA(32102, 32812, F32, 31) (dual of [32812, 32710, 32]-code) [i]
46Linear OA(3299, 32812, F32, 30) (dual of [32812, 32713, 31]-code) [i]
47Linear OA(3296, 32812, F32, 29) (dual of [32812, 32716, 30]-code) [i]
48Linear OA(3293, 32812, F32, 28) (dual of [32812, 32719, 29]-code) [i]
49Linear OA(3290, 32812, F32, 27) (dual of [32812, 32722, 28]-code) [i]
50Linear OA(3287, 32812, F32, 26) (dual of [32812, 32725, 27]-code) [i]
51Linear OA(3284, 32812, F32, 25) (dual of [32812, 32728, 26]-code) [i]
52Linear OA(3281, 32812, F32, 24) (dual of [32812, 32731, 25]-code) [i]
53Linear OA(3278, 32812, F32, 23) (dual of [32812, 32734, 24]-code) [i]
54Linear OA(3275, 32812, F32, 22) (dual of [32812, 32737, 23]-code) [i]