Information on Result #1093069
Linear OOA(2206, 62, F2, 4, 103) (dual of [(62, 4), 42, 104]-NRT-code), using construction X applied to AG(4;F,44P) ⊂ AG(4;F,56P) based on
- linear OOA(2172, 48, F2, 4, 103) (dual of [(48, 4), 20, 104]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) 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(2148, 48, F2, 4, 79) (dual of [(48, 4), 44, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,56P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(234, 14, F2, 4, 23) (dual of [(14, 4), 22, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,32P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2206, 62, F2, 4, 102) (dual of [(62, 4), 42, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2206, 31, F2, 8, 103) (dual of [(31, 8), 42, 104]-NRT-code) | [i] | OOA Folding | |