Information on Result #939628
Linear OOA(4192, 540, F4, 2, 53) (dual of [(540, 2), 888, 54]-NRT-code), using trace code based on linear OOA(6464, 180, F64, 2, 53) (dual of [(180, 2), 296, 54]-NRT-code), using
- construction X applied to AG(2;F,298P) ⊂ AG(2;F,303P) [i] based on
- linear OOA(6460, 176, F64, 2, 53) (dual of [(176, 2), 292, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,298P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6455, 176, F64, 2, 48) (dual of [(176, 2), 297, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,303P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 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(4194, 541, F4, 2, 53) (dual of [(541, 2), 888, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4193, 540, F4, 2, 53) (dual of [(540, 2), 887, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4192, 270, F4, 3, 53) (dual of [(270, 3), 618, 54]-NRT-code) | [i] | OOA Folding | |