Information on Result #938745
Linear OOA(3225, 297, F3, 2, 60) (dual of [(297, 2), 369, 61]-NRT-code), using trace code based on linear OOA(2775, 99, F27, 2, 60) (dual of [(99, 2), 123, 61]-NRT-code), using
- construction X applied to AG(2;F,129P) ⊂ AG(2;F,134P) [i] based on
- linear OOA(2771, 95, F27, 2, 60) (dual of [(95, 2), 119, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,129P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OOA(2766, 95, F27, 2, 55) (dual of [(95, 2), 124, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,134P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (see above)
- linear OOA(274, 4, F27, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(274, 27, F27, 2, 4) (dual of [(27, 2), 50, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;50,27) [i]
- discarding factors / shortening the dual code based on linear OOA(274, 27, F27, 2, 4) (dual of [(27, 2), 50, 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(3227, 298, F3, 2, 60) (dual of [(298, 2), 369, 61]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3226, 297, F3, 2, 60) (dual of [(297, 2), 368, 61]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3225, 148, F3, 4, 60) (dual of [(148, 4), 367, 61]-NRT-code) | [i] | OOA Folding | |