Information on Result #1127606
Linear OOA(2220, 53, F2, 5, 137) (dual of [(53, 5), 45, 138]-NRT-code), using construction X applied to AG(5;F,51P) ⊂ AG(5;F,58P) based on
- linear OOA(2206, 48, F2, 5, 137) (dual of [(48, 5), 34, 138]-NRT-code), using algebraic-geometric NRT-code AG(5;F,51P) 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(2192, 48, F2, 5, 123) (dual of [(48, 5), 48, 124]-NRT-code), using algebraic-geometric NRT-code AG(5;F,58P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(214, 5, F2, 5, 13) (dual of [(5, 5), 11, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,11P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2220, 53, F2, 5, 136) (dual of [(53, 5), 45, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |