Information on Result #1127321
Linear OOA(2260, 57, F2, 5, 170) (dual of [(57, 5), 25, 171]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,13P) 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(2185, 42, F2, 5, 131) (dual of [(42, 5), 25, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,13P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(251, 15, F2, 5, 38) (dual of [(15, 5), 24, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,36P) [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(2260, 57, F2, 5, 169) (dual of [(57, 5), 25, 170]-NRT-code) | [i] | Strength Reduction for OOAs | |