Information on Result #1026799
Linear OOA(4200, 73, F4, 3, 142) (dual of [(73, 3), 19, 143]-NRT-code), using juxtaposition based on
- linear OOA(438, 19, F4, 3, 31) (dual of [(19, 3), 19, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(438, 21, F4, 3, 31) (dual of [(21, 3), 25, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,31P) [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(438, 21, F4, 3, 31) (dual of [(21, 3), 25, 32]-NRT-code), using
- linear OOA(4143, 54, F4, 3, 110) (dual of [(54, 3), 19, 111]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4143, 55, F4, 3, 110) (dual of [(55, 3), 22, 111]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,54P) [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,54P) [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(4143, 55, F4, 3, 110) (dual of [(55, 3), 22, 111]-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(4200, 73, F4, 3, 141) (dual of [(73, 3), 19, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |