Information on Result #623648
Linear OA(328, 44, F32, 7) (dual of [44, 36, 8]-code), using extended algebraic-geometric code AGe(F,36P) 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(1610, 44, S16, 7) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3237, 1069, F32, 15) (dual of [1069, 1032, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3251, 32813, F32, 15) (dual of [32813, 32762, 16]-code) | [i] | ||
| 4 | Linear OA(3265, 1048621, F32, 15) (dual of [1048621, 1048556, 16]-code) | [i] | ||
| 5 | Linear OA(3235, 1068, F32, 14) (dual of [1068, 1033, 15]-code) | [i] | ||
| 6 | Linear OA(3248, 32812, F32, 14) (dual of [32812, 32764, 15]-code) | [i] | ||
| 7 | Linear OA(3261, 1048620, F32, 14) (dual of [1048620, 1048559, 15]-code) | [i] | ||
| 8 | Linear OA(3237, 1071, F32, 15) (dual of [1071, 1034, 16]-code) | [i] | ||
| 9 | Linear OA(3238, 1074, F32, 15) (dual of [1074, 1036, 16]-code) | [i] | ||
| 10 | Linear OA(3251, 32815, F32, 15) (dual of [32815, 32764, 16]-code) | [i] | ||
| 11 | Linear OA(3252, 32820, F32, 15) (dual of [32820, 32768, 16]-code) | [i] | ||
| 12 | Linear OA(3265, 1048624, F32, 15) (dual of [1048624, 1048559, 16]-code) | [i] | ||
| 13 | Linear OA(3266, 1048630, F32, 15) (dual of [1048630, 1048564, 16]-code) | [i] | ||
| 14 | Linear OA(3235, 1071, F32, 14) (dual of [1071, 1036, 15]-code) | [i] | ||
| 15 | Linear OA(3236, 1074, F32, 14) (dual of [1074, 1038, 15]-code) | [i] | ||
| 16 | Linear OA(3248, 32815, F32, 14) (dual of [32815, 32767, 15]-code) | [i] | ||
| 17 | Linear OA(3249, 32819, F32, 14) (dual of [32819, 32770, 15]-code) | [i] | ||
| 18 | Linear OA(3261, 1048624, F32, 14) (dual of [1048624, 1048563, 15]-code) | [i] | ||
| 19 | Linear OA(3262, 1048629, F32, 14) (dual of [1048629, 1048567, 15]-code) | [i] | ||
| 20 | Linear OA(3217, 1068, F32, 7) (dual of [1068, 1051, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 21 | Linear OA(3218, 1098, F32, 7) (dual of [1098, 1080, 8]-code) | [i] | ||
| 22 | Linear OA(3265, 1113, F32, 23) (dual of [1113, 1048, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(3266, 1115, F32, 23) (dual of [1115, 1049, 24]-code) | [i] | ||
| 24 | Linear OA(3287, 32857, F32, 23) (dual of [32857, 32770, 24]-code) | [i] | ||
| 25 | Linear OA(3288, 32859, F32, 23) (dual of [32859, 32771, 24]-code) | [i] | ||
| 26 | Linear OA(32109, 1048665, F32, 23) (dual of [1048665, 1048556, 24]-code) | [i] | ||
| 27 | Linear OA(32110, 1048667, F32, 23) (dual of [1048667, 1048557, 24]-code) | [i] | ||
| 28 | Linear OA(3263, 1112, F32, 22) (dual of [1112, 1049, 23]-code) | [i] | ||
| 29 | Linear OA(3284, 32856, F32, 22) (dual of [32856, 32772, 23]-code) | [i] | ||
| 30 | Linear OA(32105, 1048664, F32, 22) (dual of [1048664, 1048559, 23]-code) | [i] | ||
| 31 | Linear OA(3260, 1113, F32, 21) (dual of [1113, 1053, 22]-code) | [i] | ||
| 32 | Linear OA(3280, 32857, F32, 21) (dual of [32857, 32777, 22]-code) | [i] | ||
| 33 | Linear OA(32100, 1048665, F32, 21) (dual of [1048665, 1048565, 22]-code) | [i] | ||
| 34 | Linear OA(3242, 1102, F32, 15) (dual of [1102, 1060, 16]-code) | [i] | ||
| 35 | Linear OA(3256, 32846, F32, 15) (dual of [32846, 32790, 16]-code) | [i] | ||
| 36 | Linear OA(3270, 1048654, F32, 15) (dual of [1048654, 1048584, 16]-code) | [i] | ||
| 37 | Linear OA(3239, 1101, F32, 14) (dual of [1101, 1062, 15]-code) | [i] | ||
| 38 | Linear OA(3252, 32845, F32, 14) (dual of [32845, 32793, 15]-code) | [i] | ||
| 39 | Linear OA(3265, 1048653, F32, 14) (dual of [1048653, 1048588, 15]-code) | [i] | ||
| 40 | Linear OA(3212, 103, F32, 7) (dual of [103, 91, 8]-code) | [i] | Varšamov–Edel Lengthening | |