Information on Result #1048497
Linear OOA(4222, 549, F4, 3, 57) (dual of [(549, 3), 1425, 58]-NRT-code), using trace code based on linear OOA(6474, 183, F64, 3, 57) (dual of [(183, 3), 475, 58]-NRT-code), using
- construction X applied to AG(3;F,470P) ⊂ AG(3;F,481P) [i] based on
- linear OOA(6464, 176, F64, 3, 57) (dual of [(176, 3), 464, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,470P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6453, 176, F64, 3, 46) (dual of [(176, 3), 475, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,481P) [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(4225, 550, F4, 3, 57) (dual of [(550, 3), 1425, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4223, 549, F4, 3, 57) (dual of [(549, 3), 1424, 58]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4224, 549, F4, 3, 57) (dual of [(549, 3), 1423, 58]-NRT-code) | [i] | ||