Information on Result #2872126
Linear OOA(2259, 70, F2, 5, 121) (dual of [(70, 5), 91, 122]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2254, 69, F2, 5, 121) (dual of [(69, 5), 91, 122]-NRT-code), using
- construction X applied to AG(5;F,59P) ⊂ AG(5;F,81P) [i] based on
- linear OOA(2190, 48, F2, 5, 121) (dual of [(48, 5), 50, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,59P) 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(2146, 48, F2, 5, 77) (dual of [(48, 5), 94, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(264, 21, F2, 5, 43) (dual of [(21, 5), 41, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,61P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, 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(2260, 70, F2, 5, 121) (dual of [(70, 5), 90, 122]-NRT-code) | [i] | OOA Duplication | |