Information on Result #1026682
Linear OOA(4209, 78, F4, 3, 142) (dual of [(78, 3), 25, 143]-NRT-code), using juxtaposition based on
- linear OOA(450, 25, F4, 3, 40) (dual of [(25, 3), 25, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(450, 26, F4, 3, 40) (dual of [(26, 3), 28, 41]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,37P) [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(450, 26, F4, 3, 40) (dual of [(26, 3), 28, 41]-NRT-code), using
- linear OOA(4134, 53, F4, 3, 101) (dual of [(53, 3), 25, 102]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4134, 55, F4, 3, 101) (dual of [(55, 3), 31, 102]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,63P) [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,63P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- discarding factors / shortening the dual code based on linear OOA(4134, 55, F4, 3, 101) (dual of [(55, 3), 31, 102]-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(4209, 78, F4, 3, 141) (dual of [(78, 3), 25, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |