Information on Result #1046284
Linear OOA(6485, 187, F64, 3, 62) (dual of [(187, 3), 476, 63]-NRT-code), using construction X applied to AG(3;F,465P) ⊂ AG(3;F,482P) based on
- linear OOA(6469, 176, F64, 3, 62) (dual of [(176, 3), 459, 63]-NRT-code), using algebraic-geometric NRT-code AG(3;F,465P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6452, 176, F64, 3, 45) (dual of [(176, 3), 476, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,482P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6416, 11, F64, 3, 16) (dual of [(11, 3), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 3, 16) (dual of [(64, 3), 176, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(3;176,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 3, 16) (dual of [(64, 3), 176, 17]-NRT-code), 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 OOA(6485, 187, F64, 3, 61) (dual of [(187, 3), 476, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8170, 374, F8, 3, 62) (dual of [(374, 3), 952, 63]-NRT-code) | [i] | Trace Code for OOAs | |