Information on Result #940732
Linear OOA(8170, 388, F8, 2, 60) (dual of [(388, 2), 606, 61]-NRT-code), using trace code based on linear OOA(6485, 194, F64, 2, 60) (dual of [(194, 2), 303, 61]-NRT-code), using
- construction X applied to AG(2;F,291P) ⊂ AG(2;F,310P) [i] based on
- linear OOA(6467, 176, F64, 2, 60) (dual of [(176, 2), 285, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,291P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6448, 176, F64, 2, 41) (dual of [(176, 2), 304, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,310P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6418, 18, F64, 2, 18) (dual of [(18, 2), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6418, 64, F64, 2, 18) (dual of [(64, 2), 110, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(2;110,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6418, 64, F64, 2, 18) (dual of [(64, 2), 110, 19]-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(8170, 194, F8, 3, 60) (dual of [(194, 3), 412, 61]-NRT-code) | [i] | OOA Folding | |