Information on Result #938728
Linear OOA(3198, 297, F3, 2, 51) (dual of [(297, 2), 396, 52]-NRT-code), using trace code based on linear OOA(2766, 99, F27, 2, 51) (dual of [(99, 2), 132, 52]-NRT-code), using
- construction X applied to AG(2;F,138P) ⊂ AG(2;F,143P) [i] based on
- linear OOA(2762, 95, F27, 2, 51) (dual of [(95, 2), 128, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,138P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OOA(2757, 95, F27, 2, 46) (dual of [(95, 2), 133, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,143P) [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(3200, 298, F3, 2, 51) (dual of [(298, 2), 396, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3199, 297, F3, 2, 51) (dual of [(297, 2), 395, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3198, 148, F3, 4, 51) (dual of [(148, 4), 394, 52]-NRT-code) | [i] | OOA Folding | |