Information on Result #1048738
Linear OOA(8142, 362, F8, 3, 57) (dual of [(362, 3), 944, 58]-NRT-code), using trace code based on linear OOA(6471, 181, F64, 3, 57) (dual of [(181, 3), 472, 58]-NRT-code), using
- construction X applied to AG(3;F,470P) ⊂ AG(3;F,478P) [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(6456, 176, F64, 3, 49) (dual of [(176, 3), 472, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,478P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(647, 5, F64, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;185,64) [i]
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-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(8142, 362, F8, 3, 56) (dual of [(362, 3), 944, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8145, 363, F8, 3, 57) (dual of [(363, 3), 944, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8143, 362, F8, 3, 57) (dual of [(362, 3), 943, 58]-NRT-code) | [i] | OOA Duplication | |