Information on Result #1092970
Linear OOA(2174, 57, F2, 4, 85) (dual of [(57, 4), 54, 86]-NRT-code), using construction X applied to AG(4;F,53P) ⊂ AG(4;F,61P) based on
- linear OOA(2154, 48, F2, 4, 85) (dual of [(48, 4), 38, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,53P) 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(2138, 48, F2, 4, 69) (dual of [(48, 4), 54, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,61P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(220, 9, F2, 4, 15) (dual of [(9, 4), 16, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,20P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, 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(2174, 57, F2, 4, 84) (dual of [(57, 4), 54, 85]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2174, 57, F2, 4, 83) (dual of [(57, 4), 54, 84]-NRT-code) | [i] | ||
| 3 | Linear OOA(2175, 57, F2, 4, 85) (dual of [(57, 4), 53, 86]-NRT-code) | [i] | OOA Duplication | |