Information on Result #1129540
Linear OOA(2257, 79, F2, 5, 101) (dual of [(79, 5), 138, 102]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2102, 37, F2, 5, 50) (dual of [(37, 5), 83, 51]-NRT-code), using
- construction X applied to AG(5;F,109P) ⊂ AG(5;F,122P) [i] based on
- linear OOA(289, 32, F2, 5, 50) (dual of [(32, 5), 71, 51]-NRT-code), using algebraic-geometric NRT-code AG(5;F,109P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(276, 32, F2, 5, 37) (dual of [(32, 5), 84, 38]-NRT-code), using algebraic-geometric NRT-code AG(5;F,122P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,12P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- construction X applied to AG(5;F,109P) ⊂ AG(5;F,122P) [i] based on
- linear OOA(2155, 42, F2, 5, 101) (dual of [(42, 5), 55, 102]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,108P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(5;F,18P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
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(2257, 79, F2, 5, 100) (dual of [(79, 5), 138, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |