Information on Result #1026776
Linear OOA(4202, 74, F4, 3, 143) (dual of [(74, 3), 20, 144]-NRT-code), using juxtaposition based on
- linear OOA(440, 20, F4, 3, 33) (dual of [(20, 3), 20, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(440, 21, F4, 3, 33) (dual of [(21, 3), 23, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(440, 21, F4, 3, 33) (dual of [(21, 3), 23, 34]-NRT-code), using
- linear OOA(4142, 54, F4, 3, 109) (dual of [(54, 3), 20, 110]-NRT-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OOA(4142, 55, F4, 3, 109) (dual of [(55, 3), 23, 110]-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(4202, 74, F4, 3, 142) (dual of [(74, 3), 20, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |