Information on Result #1093030
Linear OOA(2162, 58, F2, 4, 70) (dual of [(58, 4), 70, 71]-NRT-code), using construction X applied to AG(4;F,60P) ⊂ AG(4;F,69P) based on
- linear OOA(2140, 48, F2, 4, 71) (dual of [(48, 4), 52, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) 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(2122, 48, F2, 4, 53) (dual of [(48, 4), 70, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 10, F2, 4, 16) (dual of [(10, 4), 18, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2162, 58, F2, 4, 69) (dual of [(58, 4), 70, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2162, 29, F2, 7, 70) (dual of [(29, 7), 41, 71]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2162, 29, F2, 8, 70) (dual of [(29, 8), 70, 71]-NRT-code) | [i] | ||