Information on Result #1122729
Linear OOA(2256, 57, F2, 5, 160) (dual of [(57, 5), 29, 161]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,82P) based on
- linear OOA(2204, 41, F2, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2176, 41, F2, 5, 122) (dual of [(41, 5), 29, 123]-NRT-code), using algebraic-geometric NRT-code AG(5;F,82P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(252, 16, F2, 5, 37) (dual of [(16, 5), 28, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(252, 17, F2, 5, 37) (dual of [(17, 5), 33, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,47P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(252, 17, F2, 5, 37) (dual of [(17, 5), 33, 38]-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(2256, 57, F2, 5, 159) (dual of [(57, 5), 29, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |