Information on Result #939614
Linear OOA(4186, 546, F4, 2, 49) (dual of [(546, 2), 906, 50]-NRT-code), using trace code based on linear OOA(6462, 182, F64, 2, 49) (dual of [(182, 2), 302, 50]-NRT-code), using
- construction X applied to AG(2;F,302P) ⊂ AG(2;F,309P) [i] based on
- linear OOA(6456, 176, F64, 2, 49) (dual of [(176, 2), 296, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,302P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6449, 176, F64, 2, 42) (dual of [(176, 2), 303, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,309P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(646, 6, F64, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;122,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-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(4188, 547, F4, 2, 49) (dual of [(547, 2), 906, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4187, 546, F4, 2, 49) (dual of [(546, 2), 905, 50]-NRT-code) | [i] | OOA Duplication | |