Information on Result #1048851
Linear OOA(8168, 370, F8, 3, 64) (dual of [(370, 3), 942, 65]-NRT-code), using trace code based on linear OOA(6484, 185, F64, 3, 64) (dual of [(185, 3), 471, 65]-NRT-code), using
- construction X applied to AG(3;F,463P) ⊂ AG(3;F,477P) [i] based on
- linear OOA(6471, 176, F64, 3, 64) (dual of [(176, 3), 457, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,463P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6457, 176, F64, 3, 50) (dual of [(176, 3), 471, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,477P) [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(8168, 370, F8, 3, 63) (dual of [(370, 3), 942, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8171, 371, F8, 3, 64) (dual of [(371, 3), 942, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8169, 370, F8, 3, 64) (dual of [(370, 3), 941, 65]-NRT-code) | [i] | OOA Duplication | |