Information on Result #1033216
Linear OOA(4222, 80, F4, 3, 163) (dual of [(80, 3), 18, 164]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,50P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [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]
- linear OOA(4147, 55, F4, 3, 114) (dual of [(55, 3), 18, 115]-NRT-code), using algebraic-geometric NRT-code AG(3;F,50P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(458, 25, F4, 3, 48) (dual of [(25, 3), 17, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(458, 26, F4, 3, 48) (dual of [(26, 3), 20, 49]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,29P) [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(458, 26, F4, 3, 48) (dual of [(26, 3), 20, 49]-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(4219, 79, F4, 3, 160) (dual of [(79, 3), 18, 161]-NRT-code) | [i] | Truncation for OOAs | |