Information on Result #1048787
Linear OOA(8156, 370, F8, 3, 58) (dual of [(370, 3), 954, 59]-NRT-code), using trace code based on linear OOA(6478, 185, F64, 3, 58) (dual of [(185, 3), 477, 59]-NRT-code), using
- construction X applied to AG(3;F,469P) ⊂ AG(3;F,483P) [i] based on
- linear OOA(6465, 176, F64, 3, 58) (dual of [(176, 3), 463, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,469P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6451, 176, F64, 3, 44) (dual of [(176, 3), 477, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,483P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6413, 9, F64, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 3, 13) (dual of [(64, 3), 179, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;179,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 3, 13) (dual of [(64, 3), 179, 14]-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(8156, 370, F8, 3, 57) (dual of [(370, 3), 954, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8159, 371, F8, 3, 58) (dual of [(371, 3), 954, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8157, 370, F8, 3, 58) (dual of [(370, 3), 953, 59]-NRT-code) | [i] | OOA Duplication | |