Information on Result #1092878
Linear OOA(2164, 54, F2, 4, 82) (dual of [(54, 4), 52, 83]-NRT-code), using construction X applied to AG(4;F,54P) ⊂ AG(4;F,60P) 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(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 (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(2164, 54, F2, 4, 81) (dual of [(54, 4), 52, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2164, 27, F2, 7, 82) (dual of [(27, 7), 25, 83]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2164, 27, F2, 8, 82) (dual of [(27, 8), 52, 83]-NRT-code) | [i] | ||