Information on Result #938738
Linear OOA(3210, 294, F3, 2, 56) (dual of [(294, 2), 378, 57]-NRT-code), using trace code based on linear OOA(2770, 98, F27, 2, 56) (dual of [(98, 2), 126, 57]-NRT-code), using
- construction X applied to AG(2;F,133P) ⊂ AG(2;F,137P) [i] based on
- linear OOA(2767, 95, F27, 2, 56) (dual of [(95, 2), 123, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OOA(2763, 95, F27, 2, 52) (dual of [(95, 2), 127, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,137P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (see above)
- linear OOA(273, 3, F27, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;51,27) [i]
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-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(3212, 295, F3, 2, 56) (dual of [(295, 2), 378, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3211, 294, F3, 2, 56) (dual of [(294, 2), 377, 57]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3210, 147, F3, 4, 56) (dual of [(147, 4), 378, 57]-NRT-code) | [i] | OOA Folding | |