Information on Result #1048638
Linear OOA(8102, 358, F8, 3, 40) (dual of [(358, 3), 972, 41]-NRT-code), using trace code based on linear OOA(6451, 179, F64, 3, 40) (dual of [(179, 3), 486, 41]-NRT-code), using
- construction X applied to AG(3;F,487P) ⊂ AG(3;F,492P) [i] based on
- linear OOA(6447, 176, F64, 3, 40) (dual of [(176, 3), 481, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,487P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6442, 176, F64, 3, 35) (dual of [(176, 3), 486, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,492P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 3, F64, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;188,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-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(8102, 358, F8, 3, 39) (dual of [(358, 3), 972, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8105, 359, F8, 3, 40) (dual of [(359, 3), 972, 41]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8103, 358, F8, 3, 40) (dual of [(358, 3), 971, 41]-NRT-code) | [i] | OOA Duplication | |