Information on Result #1093170
Linear OOA(2201, 68, F2, 4, 82) (dual of [(68, 4), 71, 83]-NRT-code), using construction X applied to AG(4;F,54P) ⊂ AG(4;F,70P) based on
- linear OOA(2152, 48, F2, 4, 83) (dual of [(48, 4), 40, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) 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(2120, 48, F2, 4, 51) (dual of [(48, 4), 72, 52]-NRT-code), using algebraic-geometric NRT-code AG(4;F,70P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(249, 20, F2, 4, 30) (dual of [(20, 4), 31, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,49P) [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(2201, 68, F2, 4, 81) (dual of [(68, 4), 71, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2201, 34, F2, 8, 82) (dual of [(34, 8), 71, 83]-NRT-code) | [i] | OOA Folding | |