Information on Result #1026703
Linear OOA(4219, 81, F4, 3, 153) (dual of [(81, 3), 24, 154]-NRT-code), using juxtaposition based on
- linear OOA(451, 25, F4, 3, 41) (dual of [(25, 3), 24, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(451, 26, F4, 3, 41) (dual of [(26, 3), 27, 42]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,36P) [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(451, 26, F4, 3, 41) (dual of [(26, 3), 27, 42]-NRT-code), using
- linear OOA(4144, 56, F4, 3, 111) (dual of [(56, 3), 24, 112]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,56P) [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]
- extended algebraic-geometric NRT-code AGe(3;F,56P) [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(4219, 81, F4, 3, 152) (dual of [(81, 3), 24, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |