Information on Result #939750
Linear OOA(4237, 552, F4, 2, 64) (dual of [(552, 2), 867, 65]-NRT-code), using trace code based on linear OOA(6479, 184, F64, 2, 64) (dual of [(184, 2), 289, 65]-NRT-code), using
- construction X applied to AG(2;F,287P) ⊂ AG(2;F,296P) [i] based on
- linear OOA(6471, 176, F64, 2, 64) (dual of [(176, 2), 281, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,287P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6462, 176, F64, 2, 55) (dual of [(176, 2), 290, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,296P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(648, 8, F64, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(648, 64, F64, 2, 8) (dual of [(64, 2), 120, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;120,64) [i]
- discarding factors / shortening the dual code based on linear OOA(648, 64, F64, 2, 8) (dual of [(64, 2), 120, 9]-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(4239, 553, F4, 2, 64) (dual of [(553, 2), 867, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4238, 552, F4, 2, 64) (dual of [(552, 2), 866, 65]-NRT-code) | [i] | OOA Duplication | |