Information on Result #1039870
Linear OOA(5141, 91, F5, 3, 81) (dual of [(91, 3), 132, 82]-NRT-code), using construction X applied to AG(3;F,149P) ⊂ AG(3;F,169P) based on
- linear OOA(5119, 77, F5, 3, 81) (dual of [(77, 3), 112, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,149P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(599, 77, F5, 3, 61) (dual of [(77, 3), 132, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,169P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(522, 14, F5, 3, 19) (dual of [(14, 3), 20, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(522, 16, F5, 3, 19) (dual of [(16, 3), 26, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(522, 16, F5, 3, 19) (dual of [(16, 3), 26, 20]-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(5141, 91, F5, 3, 80) (dual of [(91, 3), 132, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |