Information on Result #1127612
Linear OOA(2214, 53, F2, 5, 131) (dual of [(53, 5), 51, 132]-NRT-code), using construction X applied to AG(5;F,54P) ⊂ AG(5;F,61P) based on
- linear OOA(2200, 48, F2, 5, 131) (dual of [(48, 5), 40, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) 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(2186, 48, F2, 5, 117) (dual of [(48, 5), 54, 118]-NRT-code), using algebraic-geometric NRT-code AG(5;F,61P) 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(2214, 53, F2, 5, 130) (dual of [(53, 5), 51, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |