Information on Result #1092643
Linear OOA(2149, 48, F2, 4, 82) (dual of [(48, 4), 43, 83]-NRT-code), using construction X applied to AG(4;F,14P) ⊂ AG(4;F,16P) based on
- linear OOA(2137, 42, F2, 4, 83) (dual of [(42, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,14P) 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(2125, 42, F2, 4, 71) (dual of [(42, 4), 43, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,16P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(212, 6, F2, 4, 10) (dual of [(6, 4), 12, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2149, 48, F2, 4, 81) (dual of [(48, 4), 43, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2149, 24, F2, 7, 82) (dual of [(24, 7), 19, 83]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2149, 24, F2, 8, 82) (dual of [(24, 8), 43, 83]-NRT-code) | [i] | ||