Information on Result #1149843
Linear OOA(2257, 69, F2, 6, 114) (dual of [(69, 6), 157, 115]-NRT-code), using construction X applied to AG(6;F,86P) ⊂ AG(6;F,113P) based on
- linear OOA(2184, 48, F2, 6, 115) (dual of [(48, 6), 104, 116]-NRT-code), using algebraic-geometric NRT-code AG(6;F,86P) 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(2130, 48, F2, 6, 61) (dual of [(48, 6), 158, 62]-NRT-code), using algebraic-geometric NRT-code AG(6;F,113P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(273, 21, F2, 6, 52) (dual of [(21, 6), 53, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,73P) [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(2257, 69, F2, 6, 113) (dual of [(69, 6), 157, 114]-NRT-code) | [i] | Strength Reduction for OOAs |