Information on Result #1046136
Linear OOA(6471, 183, F64, 3, 54) (dual of [(183, 3), 478, 55]-NRT-code), using construction X applied to AG(3;F,473P) ⊂ AG(3;F,484P) based on
- linear OOA(6461, 176, F64, 3, 54) (dual of [(176, 3), 467, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,473P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6450, 176, F64, 3, 43) (dual of [(176, 3), 478, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,484P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6410, 7, F64, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;182,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-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(6471, 183, F64, 3, 53) (dual of [(183, 3), 478, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4213, 549, F4, 3, 54) (dual of [(549, 3), 1434, 55]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8142, 366, F8, 3, 54) (dual of [(366, 3), 956, 55]-NRT-code) | [i] | ||