Information on Result #1026699
Linear OOA(4207, 77, F4, 3, 141) (dual of [(77, 3), 24, 142]-NRT-code), using juxtaposition based on
- linear OOA(448, 24, F4, 3, 38) (dual of [(24, 3), 24, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(448, 26, F4, 3, 38) (dual of [(26, 3), 30, 39]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,39P) [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(448, 26, F4, 3, 38) (dual of [(26, 3), 30, 39]-NRT-code), using
- linear OOA(4135, 53, F4, 3, 102) (dual of [(53, 3), 24, 103]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4135, 55, F4, 3, 102) (dual of [(55, 3), 30, 103]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,62P) [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,62P) [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(4135, 55, F4, 3, 102) (dual of [(55, 3), 30, 103]-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(4207, 77, F4, 3, 140) (dual of [(77, 3), 24, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |