Information on Result #1127327
Linear OOA(2255, 57, F2, 5, 159) (dual of [(57, 5), 30, 160]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,14P) based on
- linear OOA(2209, 42, F2, 5, 209) (dual of [(42, 5), 1, 210]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2179, 42, F2, 5, 125) (dual of [(42, 5), 31, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,14P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(246, 15, F2, 5, 33) (dual of [(15, 5), 29, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,41P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2255, 57, F2, 5, 158) (dual of [(57, 5), 30, 159]-NRT-code) | [i] | Strength Reduction for OOAs | |