Information on Result #1048874
Linear OOA(8172, 372, F8, 3, 64) (dual of [(372, 3), 944, 65]-NRT-code), using trace code based on linear OOA(6486, 186, F64, 3, 64) (dual of [(186, 3), 472, 65]-NRT-code), using
- construction X applied to AG(3;F,463P) ⊂ AG(3;F,479P) [i] based on
- linear OOA(6471, 176, F64, 3, 64) (dual of [(176, 3), 457, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,463P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6455, 176, F64, 3, 48) (dual of [(176, 3), 473, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,479P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6415, 10, F64, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6415, 64, F64, 3, 15) (dual of [(64, 3), 177, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;177,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6415, 64, F64, 3, 15) (dual of [(64, 3), 177, 16]-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(8173, 372, F8, 3, 64) (dual of [(372, 3), 943, 65]-NRT-code) | [i] | OOA Duplication | |