Information on Result #650029
Linear OA(3213, 46, F32, 11) (dual of [46, 33, 12]-code), using construction X applied to AG(F,31P) ⊂ AG(F,33P) based on
- linear OA(3212, 43, F32, 11) (dual of [43, 31, 12]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3210, 43, F32, 9) (dual of [43, 33, 10]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | Linear OA(3258, 1071, F32, 23) (dual of [1071, 1013, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3280, 32815, F32, 23) (dual of [32815, 32735, 24]-code) | [i] | ||
| 3 | Linear OA(32102, 1048623, F32, 23) (dual of [1048623, 1048521, 24]-code) | [i] | ||
| 4 | Linear OA(3256, 1070, F32, 22) (dual of [1070, 1014, 23]-code) | [i] | ||
| 5 | Linear OA(3277, 32814, F32, 22) (dual of [32814, 32737, 23]-code) | [i] | ||
| 6 | Linear OA(3298, 1048622, F32, 22) (dual of [1048622, 1048524, 23]-code) | [i] | ||
| 7 | Linear OA(3258, 1073, F32, 23) (dual of [1073, 1015, 24]-code) | [i] | ||
| 8 | Linear OA(3280, 32817, F32, 23) (dual of [32817, 32737, 24]-code) | [i] | ||
| 9 | Linear OA(3256, 1073, F32, 22) (dual of [1073, 1017, 23]-code) | [i] | ||
| 10 | Linear OA(3277, 32817, F32, 22) (dual of [32817, 32740, 23]-code) | [i] | ||
| 11 | Linear OA(3298, 1116, F32, 35) (dual of [1116, 1018, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(3299, 1134, F32, 35) (dual of [1134, 1035, 36]-code) | [i] | ||
| 13 | Linear OA(3266, 1115, F32, 23) (dual of [1115, 1049, 24]-code) | [i] | ||
| 14 | Linear OA(3288, 32859, F32, 23) (dual of [32859, 32771, 24]-code) | [i] | ||
| 15 | Linear OA(32110, 1048667, F32, 23) (dual of [1048667, 1048557, 24]-code) | [i] | ||
| 16 | Linear OA(32110, 32815, F32, 33) (dual of [32815, 32705, 34]-code) | [i] | Construction X with Cyclic Codes | |
| 17 | Linear OA(32104, 32815, F32, 31) (dual of [32815, 32711, 32]-code) | [i] | ||
| 18 | Linear OA(3298, 32815, F32, 29) (dual of [32815, 32717, 30]-code) | [i] | ||
| 19 | Linear OA(3292, 32815, F32, 27) (dual of [32815, 32723, 28]-code) | [i] | ||
| 20 | Linear OA(3286, 32815, F32, 25) (dual of [32815, 32729, 26]-code) | [i] | ||
| 21 | Linear OA(32110, 32814, F32, 34) (dual of [32814, 32704, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 22 | Linear OA(32107, 32814, F32, 33) (dual of [32814, 32707, 34]-code) | [i] | ||