Information on Result #939683
Linear OOA(4216, 555, F4, 2, 56) (dual of [(555, 2), 894, 57]-NRT-code), using trace code based on linear OOA(6472, 185, F64, 2, 56) (dual of [(185, 2), 298, 57]-NRT-code), using
- construction X applied to AG(2;F,295P) ⊂ AG(2;F,305P) [i] based on
- linear OOA(6463, 176, F64, 2, 56) (dual of [(176, 2), 289, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,295P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6453, 176, F64, 2, 46) (dual of [(176, 2), 299, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,305P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(649, 9, F64, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 2, 9) (dual of [(64, 2), 119, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;119,64) [i]
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 2, 9) (dual of [(64, 2), 119, 10]-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(4218, 556, F4, 2, 56) (dual of [(556, 2), 894, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4217, 555, F4, 2, 56) (dual of [(555, 2), 893, 57]-NRT-code) | [i] | OOA Duplication | |