Information on Result #1026718
Linear OOA(4211, 78, F4, 3, 146) (dual of [(78, 3), 23, 147]-NRT-code), using juxtaposition based on
- linear OOA(446, 23, F4, 3, 36) (dual of [(23, 3), 23, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(446, 26, F4, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(446, 26, F4, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
- linear OOA(4142, 55, F4, 3, 109) (dual of [(55, 3), 23, 110]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,55P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- algebraic-geometric NRT-code AG(3;F,55P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, 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(4211, 78, F4, 3, 145) (dual of [(78, 3), 23, 146]-NRT-code) | [i] | Strength Reduction for OOAs | |