Information on Result #1128169
Linear OOA(2180, 58, F2, 5, 82) (dual of [(58, 5), 110, 83]-NRT-code), using construction X applied to AG(5;F,78P) ⊂ AG(5;F,90P) based on
- linear OOA(2152, 48, F2, 5, 83) (dual of [(48, 5), 88, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,78P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2128, 48, F2, 5, 59) (dual of [(48, 5), 112, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,90P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(228, 10, F2, 5, 22) (dual of [(10, 5), 22, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,27P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2180, 58, F2, 5, 81) (dual of [(58, 5), 110, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |