Information on Result #1149076
Linear OOA(2165, 53, F2, 6, 80) (dual of [(53, 6), 153, 81]-NRT-code), using construction X applied to AG(6;F,103P) ⊂ AG(6;F,111P) based on
- linear OOA(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) 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(2134, 48, F2, 6, 65) (dual of [(48, 6), 154, 66]-NRT-code), using algebraic-geometric NRT-code AG(6;F,111P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(215, 5, F2, 6, 14) (dual of [(5, 6), 15, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,15P) [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(2165, 53, F2, 6, 79) (dual of [(53, 6), 153, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2165, 53, F2, 6, 78) (dual of [(53, 6), 153, 79]-NRT-code) | [i] | ||