Information on Result #1128599
Linear OOA(2231, 68, F2, 5, 102) (dual of [(68, 5), 109, 103]-NRT-code), using construction X applied to AG(5;F,68P) ⊂ AG(5;F,89P) based on
- linear OOA(2172, 48, F2, 5, 103) (dual of [(48, 5), 68, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,68P) 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, 5, 61) (dual of [(48, 5), 110, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,89P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(259, 20, F2, 5, 40) (dual of [(20, 5), 41, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,59P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, 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(2231, 68, F2, 5, 101) (dual of [(68, 5), 109, 102]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2231, 68, F2, 5, 100) (dual of [(68, 5), 109, 101]-NRT-code) | [i] | ||